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

Time bar (total: 18.8s)

analyze719.0ms (3.8%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
3.1%3.1%96.7%0.2%0%0%0%8
4.7%4.7%95.1%0.2%0%0%0%9
4.7%4.7%95.1%0.2%0%0%0%10
16.4%16.4%83.4%0.2%0%0%0%11
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: 350.0ms
ival-log: 130.0ms (37.1% of total)
ival-sub: 72.0ms (20.6% of total)
ival-div: 61.0ms (17.4% of total)
ival-exp: 35.0ms (10% of total)
ival-mult: 28.0ms (8% of total)
ival-add: 18.0ms (5.1% of total)
const: 3.0ms (0.9% of total)
backward-pass: 2.0ms (0.6% of total)

sample6.7s (35.9%)

Results
2.0s4140×1valid
550.0ms4037×0valid
688.0ms1713×0invalid
2.1s1622×5exit
155.0ms603×1invalid
60.0ms69×2valid
52.0ms10×3valid
Precisions
Click to see histograms. Total time spent on operations: 4.6s
ival-log: 1.1s (24.8% of total)
ival-div: 882.0ms (19.2% of total)
backward-pass: 871.0ms (18.9% of total)
ival-exp: 805.0ms (17.5% of total)
ival-sub: 422.0ms (9.2% of total)
ival-add: 279.0ms (6.1% of total)
ival-mult: 174.0ms (3.8% of total)
const: 27.0ms (0.6% of total)
Bogosity

preprocess250.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1592×fma-neg
430×sub-neg
347×fma-define
315×times-frac
309×distribute-lft-neg-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
076912
1161832
2423736
31139734
43217648
55929648
66632648
76888648
87095648
97228648
107300648
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(-.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 (neg.f64 z))))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) (neg.f64 t)))
(neg.f64 (-.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)))
(neg.f64 (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) (exp.f64 z)))) t)))
(neg.f64 (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 (neg.f64 z))))) t)))
(neg.f64 (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) (neg.f64 t))))
(-.f64 y (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (exp.f64 z)))) t))
(-.f64 z (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 x)))) t))
(-.f64 t (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) x))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z (exp.f64 y)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) t) (*.f64 t (exp.f64 z)))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 t)))) z))
Outputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) #s(literal -1 binary64)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) #s(literal -1 binary64)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(-.f64 (neg.f64 x) (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y))) t))
(-.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) (neg.f64 t)) x)
(-.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) #s(literal -1 binary64)))) (neg.f64 t)) x)
(-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x)
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (neg.f64 (expm1.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 (neg.f64 z))))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (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 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) (neg.f64 t)))
(+.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y))) t))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) #s(literal -1 binary64)))) t))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(neg.f64 (-.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) (neg.f64 t)))
(+.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y))) t))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) #s(literal -1 binary64)))) t))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(neg.f64 (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) (exp.f64 z)))) t)))
(neg.f64 (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) y))) t))
(-.f64 (/.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) y) (*.f64 y (exp.f64 (neg.f64 z))))) t)))
(+.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (exp.f64 z)))) t))
(-.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (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 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) (neg.f64 t))))
(-.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(-.f64 (neg.f64 x) (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y))) t))
(-.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) (neg.f64 t)) x)
(-.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) #s(literal -1 binary64)))) (neg.f64 t)) x)
(-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x)
(-.f64 y (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (exp.f64 z)))) t))
(-.f64 y (/.f64 (log.f64 (fma.f64 x (exp.f64 z) (-.f64 #s(literal 1 binary64) x))) t))
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t))
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (+.f64 (exp.f64 z) #s(literal -1 binary64)))) t))
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (expm1.f64 z))) t))
(-.f64 z (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 x)))) t))
(-.f64 z (/.f64 (log.f64 (fma.f64 y (exp.f64 x) (-.f64 #s(literal 1 binary64) y))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 x)))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 x) #s(literal -1 binary64)))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) t))
(-.f64 t (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) x))
(-.f64 t (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y))) x))
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) x))
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) #s(literal -1 binary64)))) x))
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z (exp.f64 y)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 z (exp.f64 y) (-.f64 #s(literal 1 binary64) z))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (exp.f64 y)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 (exp.f64 y) #s(literal -1 binary64)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (expm1.f64 y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) t) (*.f64 t (exp.f64 z)))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) t) (*.f64 (exp.f64 z) t))) y))
(-.f64 x (/.f64 (log.f64 (fma.f64 (exp.f64 z) t (-.f64 #s(literal 1 binary64) t))) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (+.f64 #s(literal -1 binary64) (exp.f64 z)))) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (+.f64 (exp.f64 z) #s(literal -1 binary64)))) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (expm1.f64 z))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 t)))) z))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 t) (-.f64 #s(literal 1 binary64) y))) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 t)))) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 t) #s(literal -1 binary64)))) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 t))) z))

explain1.0s (5.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1631(-1.4194657675916334e+238 -3.432376500789768e+107 -2.2305011991972187e-110 -5.406578338680505e-269)0-(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
795(-2.0119591347277616e+90 1403.1189834072277 -2.0661299855675787e-50 2.0060088570948684e+150)1(-6.607211072737398e-75 -30762826653500.36 -0.016207112253017093 -1.0262270433906327e-180)(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
210-6(-5.470894943967273e-226 -9.286725033520794e-274 -5.239745306927816e-41 1.5196894938324476e-106)(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
00-0-x
00-0-(exp.f64 z)
00-0-(*.f64 y (exp.f64 z))
00-0-y
00-0-z
00-0-#s(literal 1 binary64)
00-0-t
00-0-(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
00-0-(-.f64 #s(literal 1 binary64) y)
Results
602.0ms222×2valid
290.0ms216×1valid
12.0ms60×0valid
35.0ms14×3valid
Compiler

Compiled 137 to 68 computations (50.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 848.0ms
ival-log: 210.0ms (24.8% of total)
ival-sub: 192.0ms (22.6% of total)
ival-exp: 182.0ms (21.5% of total)
backward-pass: 160.0ms (18.9% of total)
ival-add: 64.0ms (7.5% of total)
ival-div: 21.0ms (2.5% of total)
ival-mult: 16.0ms (1.9% of total)
const: 4.0ms (0.5% of total)

eval1.0ms (0%)

Compiler

Compiled 47 to 28 computations (40.4% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.2%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Compiler

Compiled 13 to 9 computations (30.8% saved)

localize113.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y (expm1.f64 z))
✓cost-diff0
(log1p.f64 (*.f64 y (expm1.f64 z)))
✓cost-diff0
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
✓cost-diff0
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
✓accuracy100.0%
(*.f64 y (expm1.f64 z))
✓accuracy100.0%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
✓accuracy100.0%
(log1p.f64 (*.f64 y (expm1.f64 z)))
✓accuracy93.3%
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
Rules
297×fma-neg
279×fma-define
61×cancel-sign-sub-inv
57×sub-neg
44×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017131
125131
241131
362131
498131
5136131
6203131
7284131
8407131
9649131
101035131
111389131
121496131
131525131
141526131
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
x
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
y
(expm1.f64 z)
z
t
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
x
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
y
(expm1.f64 z)
z
t
Results
27.0ms256×0valid
Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub: 3.0ms (25.3% of total)
ival-div: 2.0ms (16.9% of total)
ival-mult: 2.0ms (16.9% of total)
ival-log1p: 2.0ms (16.9% of total)
ival-expm1: 2.0ms (16.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series361.0ms (1.9%)

Counts
4 → 132
Calls
Call 1
Inputs
#<alt (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)>
#<alt (log1p.f64 (*.f64 y (expm1.f64 z)))>
#<alt (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))>
#<alt (*.f64 y (expm1.f64 z))>
Outputs
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))) t)>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))) t)) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal 1 binary64) t)))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) t)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64))) t)))) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal 1 binary64) t)))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) t)) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64))) t)) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)) t)))))) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal 1 binary64) t)))>
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#<alt (-.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) (/.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) t))))>
#<alt (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (exp.f64 z) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))))))) y))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t)) (/.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) t)))>
#<alt (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64))))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (exp.f64 z) #s(literal 1 binary64))))) y))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t)) (/.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) t)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) t)))>
#<alt (+.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) t)) (/.f64 y t))))>
#<alt (+.f64 x (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))) t)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) t)))) (/.f64 y t))))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t))>
#<alt (/.f64 (-.f64 (*.f64 t x) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))) t)>
#<alt (/.f64 (-.f64 (*.f64 t x) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))) t)>
#<alt (/.f64 (-.f64 (*.f64 t x) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))) t)>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z))))>
#<alt (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y)))))>
#<alt (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y)))))))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
Calls

33 calls:

TimeVariablePointExpression
155.0ms
z
@-inf
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
90.0ms
z
@inf
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
78.0ms
t
@inf
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
16.0ms
t
@0
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
3.0ms
y
@inf
(/ (log (+ 1 (* y (- (exp z) 1)))) t)

rewrite337.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
970×log1p-expm1-u
969×expm1-log1p-u
731×prod-diff
227×fma-define
178×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017107
1199107
22603107
Stop Event
1×node limit
Counts
4 → 218
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(log1p.f64 (*.f64 y (expm1.f64 z)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(*.f64 y (expm1.f64 z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) #s(literal 1 binary64))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 #s(literal 1 binary64) 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)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 2 binary64)) (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 #s(literal 1 binary64) 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 #s(literal 1 binary64) (neg.f64 t)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 2 binary64)) (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)))) #s(literal 1 binary64)) (/.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) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)))
(pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 2 binary64))
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)))
(log.f64 (pow.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)))
(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)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) #s(literal 1 binary64))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (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)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 2 binary64)) (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))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 2 binary64)))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 3 binary64)))
(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)))) #s(literal 1 binary64)))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(+.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 1 binary64)))
(+.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 1 binary64) (/.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 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(+.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)))
(+.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (fma.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 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 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 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 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 #s(literal 1 binary64) t) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x)
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(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)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 #s(literal 1 binary64) t) x)
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (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 #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) t)) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (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 #s(literal 2 binary64)))) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (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 #s(literal 2 binary64)))) (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)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (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 #s(literal 2 binary64)))) (+.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 #s(literal 2 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) t)) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.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)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.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 #s(literal -1 binary64) (/.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 #s(literal 1 binary64) 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)) #s(literal 1 binary64) (/.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)) #s(literal 2 binary64)) (/.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)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) x)
(-.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (expm1.f64 z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (expm1.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (expm1.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))
(exp.f64 (log.f64 (*.f64 y (expm1.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (expm1.f64 z))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (cbrt.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64))

simplify495.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
748×fma-neg
395×fma-define
348×associate-*r*
296×associate-*l*
276×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
077026417
1215221712
2693521464
Stop Event
1×node limit
Counts
350 → 414
Calls
Call 1
Inputs
(/.f64 (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))) t)
(*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))) t)) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal 1 binary64) t)))
(*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) t)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64))) t)))) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal 1 binary64) t)))
(*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) t)) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64))) t)) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)) t)))))) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal 1 binary64) t)))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))) t)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) t)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) t)))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) t)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) t))) (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) t)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) t)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))) t)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) (/.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) t)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (exp.f64 z) #s(literal 1 binary64))))) y)) (/.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) t)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (exp.f64 z) #s(literal 1 binary64))))) y)) (/.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) t)))
(/.f64 (*.f64 y z) t)
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) t)) (/.f64 y t)))
(*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))) t)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) t)))) (/.f64 y t)))
(*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) t)) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)))))))) t)) (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 y (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))) t)))))) (/.f64 y t)))
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))
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(fma.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) t)) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 #s(literal 1 binary64) (-.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)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 #s(literal 1 binary64) (-.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 #s(literal 1 binary64) (/.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)) #s(literal 2 binary64)) (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))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) 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))) #s(literal 2 binary64)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 1 binary64) (/.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))) #s(literal 2 binary64)) (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)) #s(literal 2 binary64)) (/.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))) #s(literal 2 binary64)) (+.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))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) 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))) #s(literal 2 binary64)) (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)) #s(literal 1 binary64) (/.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))) #s(literal 2 binary64)) (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)) #s(literal 2 binary64)) (/.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))) #s(literal 2 binary64)) (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) #s(literal 2 binary64)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 1 binary64)))
(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 #s(literal 1 binary64) 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)) #s(literal 1 binary64) (/.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)) #s(literal 2 binary64)) (/.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)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 #s(literal 1 binary64) t) x)
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (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 #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) t)) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (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 #s(literal 2 binary64)))) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (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 #s(literal 2 binary64)))) (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)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (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 #s(literal 2 binary64)))) (+.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 #s(literal 2 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) t)) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.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)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.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 #s(literal -1 binary64) (/.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 #s(literal 1 binary64) 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)) #s(literal 1 binary64) (/.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)) #s(literal 2 binary64)) (/.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)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) x)
(-.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (expm1.f64 z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (expm1.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (expm1.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))
(exp.f64 (log.f64 (*.f64 y (expm1.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (expm1.f64 z))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (cbrt.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64))
Outputs
(/.f64 (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))) t)) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal 1 binary64) t)))
(*.f64 y (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) t) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal -1 binary64) t)))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (/.f64 y t)) (/.f64 (expm1.f64 z) t)))
(*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) t)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64))) t)))) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal 1 binary64) t)))
(*.f64 y (+.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) t))) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal -1 binary64) t)))
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(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(fma.f64 #s(literal -1 binary64) (/.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 #s(literal 1 binary64) 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 #s(literal -1 binary64) 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) #s(literal 0 binary64)))
(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)) #s(literal 1 binary64) (/.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 #s(literal -1 binary64) 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) #s(literal 0 binary64)))
(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)) #s(literal 2 binary64)) (/.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 #s(literal -1 binary64) 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) #s(literal 0 binary64)))
(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 #s(literal -1 binary64) 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) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 y (expm1.f64 z)) #s(literal 0 binary64))
(pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64))
(*.f64 y (expm1.f64 z))
(pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) #s(literal 3 binary64))
(*.f64 y (expm1.f64 z))
(pow.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (expm1.f64 z))
(pow.f64 (sqrt.f64 (*.f64 y (expm1.f64 z))) #s(literal 2 binary64))
(*.f64 y (expm1.f64 z))
(sqrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y (expm1.f64 z)))
(log.f64 (pow.f64 (exp.f64 y) (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 y (expm1.f64 z))
(cbrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64)))
(*.f64 y (expm1.f64 z))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))))
(*.f64 y (expm1.f64 z))
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 y (expm1.f64 z))
(expm1.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
(+.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 y (expm1.f64 z)) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))
(*.f64 y (expm1.f64 z))
(exp.f64 (log.f64 (*.f64 y (expm1.f64 z))))
(*.f64 y (expm1.f64 z))
(exp.f64 (*.f64 (log.f64 (*.f64 y (expm1.f64 z))) #s(literal 1 binary64)))
(*.f64 y (expm1.f64 z))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 y (expm1.f64 z)) #s(literal 0 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (cbrt.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 y (expm1.f64 z)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 y (expm1.f64 z)) #s(literal 0 binary64))

eval150.0ms (0.8%)

Compiler

Compiled 12355 to 4488 computations (63.7% saved)

prune79.0ms (0.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New39816414
Fresh000
Picked011
Done000
Total39817415
Accuracy
100.0%
Counts
415 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.1%
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
57.6%
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 2 binary64)))
46.0%
(-.f64 x (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 t)))
74.6%
(-.f64 x (/.f64 (*.f64 y z) t))
▶72.0%
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y)))))))) t))
74.0%
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y)))))) t))
74.8%
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z))))) t))
✓98.2%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
▶80.3%
(-.f64 x (/.f64 (log1p.f64 (log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))) t))
98.1%
(-.f64 x (/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
60.4%
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
▶98.2%
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
▶84.0%
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
73.8%
(-.f64 x (*.f64 z (/.f64 y t)))
75.4%
(-.f64 x (*.f64 y (/.f64 z t)))
73.9%
(+.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))))
▶68.9%
x
Compiler

Compiled 499 to 345 computations (30.9% saved)

localize799.0ms (4.3%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff12800
(log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))
✓cost-diff12800
(log1p.f64 (log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z)))))
✓cost-diff12800
(/.f64 (log1p.f64 (log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))) t)
✓cost-diff12800
(-.f64 x (/.f64 (log1p.f64 (log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))) t))
✓accuracy95.1%
(log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y))))))))
✓accuracy93.4%
(/.f64 (log1p.f64 (log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))) t)
✓accuracy93.4%
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y)))))))) t)
✓accuracy93.3%
(*.f64 (/.f64 #s(literal 1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z))))
Rules
605×fma-neg
435×distribute-lft-neg-out
411×associate-*r*
388×unsub-neg
367×distribute-lft-out
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0431101
11121057
22791012
3673976
41659941
52669941
64668941
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
x
(*.f64 (/.f64 #s(literal 1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z))))
(/.f64 #s(literal 1 binary64) t)
#s(literal 1 binary64)
t
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
y
(expm1.f64 z)
z
x
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
x
(*.f64 (expm1.f64 z) (/.f64 y t))
(expm1.f64 z)
z
(/.f64 y t)
y
t
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y)))))))) t))
x
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y)))))))) t)
(log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y))))))))
(*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y)))))))
z
(+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y))))))
y
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y))))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y)))
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y))
(*.f64 #s(literal 1/24 binary64) (*.f64 y z))
#s(literal 1/24 binary64)
(*.f64 y z)
(*.f64 #s(literal 1/6 binary64) y)
#s(literal 1/6 binary64)
t
(-.f64 x (/.f64 (log1p.f64 (log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))) t))
x
(/.f64 (log1p.f64 (log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))) t)
(log1p.f64 (log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z)))))
(log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))
(expm1.f64 (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
y
(expm1.f64 z)
z
t
Outputs
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
x
(*.f64 (/.f64 #s(literal 1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z))))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 #s(literal 1 binary64) t)
#s(literal 1 binary64)
t
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
y
(expm1.f64 z)
z
x
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(fma.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (expm1.f64 z) (neg.f64 t)) x)
x
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(expm1.f64 z)
z
(/.f64 y t)
y
t
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y)))))))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (fma.f64 #s(literal 1/2 binary64) y (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 y #s(literal 1/6 binary64))))))))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (+.f64 (*.f64 z #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (*.f64 y #s(literal 1/2 binary64))) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (fma.f64 z (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (fma.f64 (*.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) y))) t))
x
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y)))))))) t)
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (fma.f64 #s(literal 1/2 binary64) y (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 y #s(literal 1/6 binary64))))))))) t)
(/.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y))) t)
(/.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (+.f64 (*.f64 z #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (*.f64 y #s(literal 1/2 binary64))) y))) t)
(/.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) y))) t)
(/.f64 (log1p.f64 (*.f64 z (fma.f64 z (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) y))) t)
(/.f64 (log1p.f64 (*.f64 z (fma.f64 (*.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) y))) t)
(log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y))))))))
(log1p.f64 (*.f64 z (+.f64 y (*.f64 z (fma.f64 #s(literal 1/2 binary64) y (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 y #s(literal 1/6 binary64)))))))))
(log1p.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))
(log1p.f64 (*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (+.f64 (*.f64 z #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (*.f64 y #s(literal 1/2 binary64))) y)))
(log1p.f64 (*.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) y)))
(log1p.f64 (*.f64 z (fma.f64 z (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) y)))
(log1p.f64 (*.f64 z (fma.f64 (*.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) y)))
(*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y)))))))
(*.f64 z (+.f64 y (*.f64 z (fma.f64 #s(literal 1/2 binary64) y (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 y #s(literal 1/6 binary64))))))))
(*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y))
(*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (+.f64 (*.f64 z #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (*.f64 y #s(literal 1/2 binary64))) y))
(*.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) y))
(*.f64 z (fma.f64 z (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) y))
(*.f64 z (fma.f64 (*.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) y))
z
(+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y))))))
(+.f64 y (*.f64 z (fma.f64 #s(literal 1/2 binary64) y (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 y #s(literal 1/6 binary64)))))))
(fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)
(fma.f64 z (fma.f64 z (*.f64 y (+.f64 (*.f64 z #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (*.f64 y #s(literal 1/2 binary64))) y)
(fma.f64 z (fma.f64 y #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) y)
(fma.f64 z (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) y)
(fma.f64 (*.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) y)
y
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) y (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 z (fma.f64 z (*.f64 y (+.f64 (*.f64 z #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 z (fma.f64 y #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(*.f64 (*.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(*.f64 y (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y))))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 y #s(literal 1/6 binary64)))))
(fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 z (*.f64 y (+.f64 (*.f64 z #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y)))
(*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 y #s(literal 1/6 binary64))))
(*.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))))
(*.f64 z (*.f64 y (+.f64 (*.f64 z #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))
(*.f64 (*.f64 y z) (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(*.f64 y (*.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y))
(fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 y #s(literal 1/6 binary64)))
(fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64))))
(*.f64 y (+.f64 (*.f64 z #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
(*.f64 y (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/24 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 1/24 binary64) y) z)
(*.f64 y (*.f64 z #s(literal 1/24 binary64)))
(*.f64 z (*.f64 y #s(literal 1/24 binary64)))
#s(literal 1/24 binary64)
(*.f64 y z)
(*.f64 #s(literal 1/6 binary64) y)
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
t
(-.f64 x (/.f64 (log1p.f64 (log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))) t))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
x
(/.f64 (log1p.f64 (log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))) t)
(*.f64 (/.f64 #s(literal 1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z))))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(log1p.f64 (log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z)))))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))
(*.f64 y (expm1.f64 z))
(expm1.f64 (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
y
(expm1.f64 z)
z
t
Results
294.0ms186×0valid
102.0ms46×0invalid
161.0ms24×5exit
Compiler

Compiled 301 to 131 computations (56.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 337.0ms
ival-mult: 99.0ms (29.4% of total)
ival-div: 80.0ms (23.8% of total)
ival-expm1: 60.0ms (17.8% of total)
ival-log1p: 30.0ms (8.9% of total)
backward-pass: 28.0ms (8.3% of total)
ival-add: 28.0ms (8.3% of total)
ival-sub: 7.0ms (2.1% of total)
const: 5.0ms (1.5% of total)

series131.0ms (0.7%)

Counts
7 → 228
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z))))>
#<alt (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y)))))))) t)>
#<alt (/.f64 (log1p.f64 (log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))) t)>
#<alt (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y))))))))>
#<alt (-.f64 x (/.f64 (log1p.f64 (log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))) t))>
#<alt (log1p.f64 (log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z)))))>
#<alt (log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))>
Outputs
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))) t)>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))) t)) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal 1 binary64) t)))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) t)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64))) t)))) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal 1 binary64) t)))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) t)) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64))) t)) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)) t)))))) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal 1 binary64) t)))>
#<alt (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))) t)>
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#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) (/.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) t)))>
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#<alt (/.f64 (*.f64 y z) t)>
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#<alt (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))) t)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) t)))) (/.f64 y t)))>
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#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)>
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#<alt x>
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#<alt (-.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) t)) (/.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) t)))>
#<alt (-.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) t)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) t))))>
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#<alt x>
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#<alt (/.f64 (-.f64 (*.f64 t x) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))) t)>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)))>
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#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
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#<alt (+.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (+.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))))>
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#<alt (-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))>
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#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 y (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))))))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z))))>
#<alt (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y)))))>
#<alt (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y)))))))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))>
Calls

57 calls:

TimeVariablePointExpression
61.0ms
y
@-inf
(/ (log (+ 1 (* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))))) t)
24.0ms
t
@0
(/ (log (+ 1 (* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))))) t)
10.0ms
t
@inf
(/ (log (+ 1 (* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))))) t)
2.0ms
y
@inf
(/ (log (+ 1 (* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))))) t)
2.0ms
y
@0
(/ (log (+ 1 (* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))))) t)

rewrite195.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
290×associate-*r*
259×log1p-expm1-u
257×expm1-log1p-u
245×add-cube-cbrt
244×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038308
1575300
Stop Event
1×node limit
Counts
7 → 196
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z))))
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y)))))))) t)
(/.f64 (log1p.f64 (log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))) t)
(log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y))))))))
(-.f64 x (/.f64 (log1p.f64 (log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))) t))
(log1p.f64 (log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z)))))
(log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 1 binary64)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
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(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)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) (sqrt.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))))
(pow.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y))))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) #s(literal 1 binary64)))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(+.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (fma.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) 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 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) (/.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)))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 1 binary64)))) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 1 binary64) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 1 binary64)))) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 1 binary64) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 1 binary64)))) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 1 binary64) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 1 binary64))))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(*.f64 (cbrt.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)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(*.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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(*.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 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (*.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))))
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(log.f64 (+.f64 #s(literal 1 binary64) (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)) #s(literal 3 binary64)))
(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))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 2 binary64))) (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))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 3 binary64)))
(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)))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
(*.f64 (expm1.f64 z) y)
(*.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (expm1.f64 z)) y))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (expm1.f64 z)))
(*.f64 (sqrt.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (sqrt.f64 (expm1.f64 z)) (*.f64 (sqrt.f64 (expm1.f64 z)) y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (expm1.f64 z)))
(*.f64 (*.f64 y #s(literal 1 binary64)) (expm1.f64 z))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (expm1.f64 z)) #s(literal 2 binary64))) (cbrt.f64 (expm1.f64 z)))
(*.f64 (*.f64 y (sqrt.f64 (expm1.f64 z))) (sqrt.f64 (expm1.f64 z)))
(*.f64 (*.f64 (expm1.f64 z) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (expm1.f64 z) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y))
(*.f64 (*.f64 (expm1.f64 z) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (expm1.f64 z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 y (expm1.f64 z))))
(cbrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
(exp.f64 (log.f64 (*.f64 y (expm1.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (expm1.f64 z))) #s(literal 1 binary64)))

simplify366.0ms (2%)

Algorithm
1×egg-herbie
Rules
621×fma-define
411×associate-/r*
334×times-frac
278×*-commutative
251×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094528795
1264226578
Stop Event
1×node limit
Counts
424 → 503
Calls
Call 1
Inputs
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
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(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))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 2 binary64))) (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))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 3 binary64)))
(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)))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
(*.f64 (expm1.f64 z) y)
(*.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (expm1.f64 z)) y))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (expm1.f64 z)))
(*.f64 (sqrt.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (sqrt.f64 (expm1.f64 z)) (*.f64 (sqrt.f64 (expm1.f64 z)) y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (expm1.f64 z)))
(*.f64 (*.f64 y #s(literal 1 binary64)) (expm1.f64 z))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (expm1.f64 z)) #s(literal 2 binary64))) (cbrt.f64 (expm1.f64 z)))
(*.f64 (*.f64 y (sqrt.f64 (expm1.f64 z))) (sqrt.f64 (expm1.f64 z)))
(*.f64 (*.f64 (expm1.f64 z) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (expm1.f64 z) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y))
(*.f64 (*.f64 (expm1.f64 z) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (expm1.f64 z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 y (expm1.f64 z))))
(cbrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
(exp.f64 (log.f64 (*.f64 y (expm1.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (expm1.f64 z))) #s(literal 1 binary64)))
Outputs
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))) t)) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal 1 binary64) t)))
(*.f64 y (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) t) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal -1 binary64) t)))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t)) (/.f64 (expm1.f64 z) t)))
(*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) t)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64))) t)))) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal 1 binary64) t)))
(*.f64 y (+.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) t))) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal -1 binary64) t)))
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) t)) (/.f64 (expm1.f64 z) t)))
(*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) t)) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64))) t)) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)) t)))))) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal 1 binary64) t)))
(*.f64 y (+.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (*.f64 y (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 4 binary64))) t) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t))))) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal -1 binary64) t)))
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 4 binary64)))) t)) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) t)) (/.f64 (expm1.f64 z) t)))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) t)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) t)))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 y)) t) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (expm1.f64 z)))) (/.f64 (log.f64 (expm1.f64 z)) t)))
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t y) (expm1.f64 z))) (/.f64 (log.f64 (expm1.f64 z)) t)))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) t)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) t))) (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 y)) t) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (expm1.f64 z)))) (/.f64 (log.f64 (expm1.f64 z)) t))) (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t y) (expm1.f64 z))) (/.f64 (log.f64 (expm1.f64 z)) t)) (/.f64 #s(literal -1/2 binary64) (*.f64 t (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64))))))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) t)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) t)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 y)) t) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (expm1.f64 z)))) (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 #s(literal 1/3 binary64) (*.f64 t (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64))))))) (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t y) (expm1.f64 z))) (/.f64 (log.f64 (expm1.f64 z)) t)) (/.f64 #s(literal 1/3 binary64) (*.f64 t (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64))))) (/.f64 #s(literal -1/2 binary64) (*.f64 t (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))) t)
(/.f64 (+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) t)
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) (/.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) t)))
(fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (expm1.f64 z)))) (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t y) (expm1.f64 z))) (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (exp.f64 z) #s(literal 1 binary64))))) y)) (/.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) t)))
(fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1/2 binary64) (*.f64 t y)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 t (expm1.f64 z)))) y)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (exp.f64 z) #s(literal 1 binary64))))) y)) (/.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) t)))
(fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 t (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))) y)) (/.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64))))) (/.f64 #s(literal -1/2 binary64) (*.f64 t (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))) y) (/.f64 #s(literal -1 binary64) (*.f64 t (expm1.f64 z)))) y)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) t)) (/.f64 y t)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (+.f64 y (neg.f64 (pow.f64 y #s(literal 2 binary64)))) t)) (/.f64 y t)))
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(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) #s(literal 3 binary64))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) #s(literal 2 binary64))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 2 binary64)))
(fabs.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(-.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)) #s(literal 3 binary64)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(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))))
(-.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))))
(-.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))) #s(literal 1 binary64)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(fma.f64 #s(literal 1 binary64) x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(-.f64 x (/.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)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z))))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 2 binary64))) (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)))))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 1 binary64))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 3 binary64))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 2 binary64))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 2 binary64)))
(fabs.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 3 binary64)))
(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)))) #s(literal 1 binary64)))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64)))
(+.f64 (*.f64 y (expm1.f64 z)) #s(literal 0 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
(*.f64 y (expm1.f64 z))
(*.f64 (expm1.f64 z) y)
(*.f64 y (expm1.f64 z))
(*.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (expm1.f64 z)) y))
(*.f64 y (expm1.f64 z))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (expm1.f64 z)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (expm1.f64 z) (cbrt.f64 y)))
(*.f64 (sqrt.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 (*.f64 y (expm1.f64 z))))
(*.f64 y (expm1.f64 z))
(*.f64 (sqrt.f64 (expm1.f64 z)) (*.f64 (sqrt.f64 (expm1.f64 z)) y))
(*.f64 y (expm1.f64 z))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
(*.f64 (*.f64 y #s(literal 1 binary64)) (expm1.f64 z))
(*.f64 y (expm1.f64 z))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (expm1.f64 z)) #s(literal 2 binary64))) (cbrt.f64 (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
(*.f64 (*.f64 y (sqrt.f64 (expm1.f64 z))) (sqrt.f64 (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
(*.f64 (*.f64 (expm1.f64 z) #s(literal 1 binary64)) y)
(*.f64 y (expm1.f64 z))
(*.f64 (*.f64 (expm1.f64 z) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y))
(*.f64 (expm1.f64 z) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y)))
(*.f64 (*.f64 (expm1.f64 z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 y (expm1.f64 z))
(pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64))
(*.f64 y (expm1.f64 z))
(pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) #s(literal 3 binary64))
(*.f64 y (expm1.f64 z))
(pow.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (expm1.f64 z))
(pow.f64 (sqrt.f64 (*.f64 y (expm1.f64 z))) #s(literal 2 binary64))
(*.f64 y (expm1.f64 z))
(sqrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y (expm1.f64 z)))
(log.f64 (exp.f64 (*.f64 y (expm1.f64 z))))
(*.f64 y (expm1.f64 z))
(cbrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64)))
(*.f64 y (expm1.f64 z))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))))
(*.f64 y (expm1.f64 z))
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 y (expm1.f64 z))
(expm1.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64)))
(+.f64 (*.f64 y (expm1.f64 z)) #s(literal 0 binary64))
(exp.f64 (log.f64 (*.f64 y (expm1.f64 z))))
(*.f64 y (expm1.f64 z))
(exp.f64 (*.f64 (log.f64 (*.f64 y (expm1.f64 z))) #s(literal 1 binary64)))
(*.f64 y (expm1.f64 z))

eval913.0ms (4.9%)

Compiler

Compiled 14455 to 8399 computations (41.9% saved)

prune98.0ms (0.5%)

Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New5012503
Fresh11011
Picked055
Done011
Total50218520
Accuracy
100.0%
Counts
520 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.1%
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
57.6%
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 2 binary64)))
46.0%
(-.f64 x (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 t)))
▶65.2%
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))))) t))
▶74.6%
(-.f64 x (/.f64 (*.f64 y z) t))
✓72.0%
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y)))))))) t))
▶74.0%
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y)))))) t))
74.8%
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z))))) t))
✓98.2%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
✓80.3%
(-.f64 x (/.f64 (log1p.f64 (log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))) t))
▶98.1%
(-.f64 x (/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
60.4%
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
✓98.2%
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
✓84.0%
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
73.8%
(-.f64 x (*.f64 z (/.f64 y t)))
▶75.4%
(-.f64 x (*.f64 y (/.f64 z t)))
66.9%
(-.f64 x (*.f64 y (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))) t))))
✓68.9%
x
Compiler

Compiled 490 to 341 computations (30.4% saved)

localize450.0ms (2.4%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
✓cost-diff12800
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
✓cost-diff12800
(/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)
✓cost-diff12800
(-.f64 x (/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
✓accuracy93.0%
(*.f64 y (/.f64 z t))
✓accuracy92.6%
(/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))))) t)
✓accuracy92.6%
(/.f64 (*.f64 y z) t)
✓accuracy87.1%
(log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y))))))
Rules
757×fma-neg
585×fma-define
452×distribute-rgt-neg-in
450×distribute-lft-neg-in
416×distribute-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0481279
11291175
23561132
39941080
429681080
547571080
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
x
(/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
y
(expm1.f64 z)
z
t
(-.f64 x (*.f64 y (/.f64 z t)))
x
(*.f64 y (/.f64 z t))
y
(/.f64 z t)
z
t
(-.f64 x (/.f64 (*.f64 y z) t))
x
(/.f64 (*.f64 y z) t)
(*.f64 y z)
y
z
t
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))))) t))
x
(/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))))) t)
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64)))))))))
y
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))))
z
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64)))))))
#s(literal 1 binary64)
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64)))))
#s(literal 1/2 binary64)
(*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64)))
#s(literal 1/6 binary64)
(*.f64 z #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
t
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y)))))) t))
x
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y)))))) t)
(log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y))))))
(*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y)))))
z
(+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y))))
y
(*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/6 binary64) (*.f64 y z))
#s(literal 1/6 binary64)
(*.f64 y z)
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
t
Outputs
(-.f64 x (/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
(-.f64 x (/.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 0 binary64)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
x
(/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)
(/.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 0 binary64)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 0 binary64))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 0 binary64))
(*.f64 y (expm1.f64 z))
y
(expm1.f64 z)
z
t
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (*.f64 z (/.f64 y t)))
(fma.f64 y (/.f64 (neg.f64 z) t) x)
x
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
y
(/.f64 z t)
z
t
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (*.f64 z (/.f64 y t)))
(fma.f64 y (/.f64 (neg.f64 z) t) x)
x
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(*.f64 y z)
y
z
t
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))))) t))
(-.f64 x (*.f64 y (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64)))))))) t)))
(-.f64 x (*.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y t)))
(fma.f64 (neg.f64 y) (*.f64 (/.f64 z t) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
(fma.f64 y (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 z (neg.f64 t))) x)
(fma.f64 z (*.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) t)) x)
x
(/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))))) t)
(*.f64 y (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64)))))))) t))
(*.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y t))
(*.f64 y (*.f64 (/.f64 z t) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 z (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y t)))
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64)))))))))
(*.f64 z (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y))
(*.f64 y (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 y z) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
y
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))))
(*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
z
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64)))))))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))
(*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64)))))
(fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))
(*.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64)))
(fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 z #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
t
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y)))))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 y #s(literal 1/2 binary64))))))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (fma.f64 z (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (fma.f64 z (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y))) t))
x
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y)))))) t)
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 y #s(literal 1/2 binary64))))))) t)
(/.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) y))) t)
(/.f64 (log1p.f64 (*.f64 z (fma.f64 z (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) y))) t)
(/.f64 (log1p.f64 (*.f64 z (fma.f64 z (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y))) t)
(log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y))))))
(log1p.f64 (*.f64 z (+.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 y #s(literal 1/2 binary64)))))))
(log1p.f64 (*.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) y)))
(log1p.f64 (*.f64 z (fma.f64 z (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) y)))
(log1p.f64 (*.f64 z (fma.f64 z (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y)))
(*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y)))))
(*.f64 z (+.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) y))
(*.f64 z (fma.f64 z (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) y))
(*.f64 z (fma.f64 z (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y))
z
(+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y))))
(+.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 y #s(literal 1/2 binary64)))))
(fma.f64 z (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) y)
(fma.f64 z (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) y)
(fma.f64 z (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y)
y
(*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 z (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))))
(*.f64 (*.f64 y z) (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))
(*.f64 y (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))
(*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(*.f64 y (*.f64 z #s(literal 1/6 binary64)))
(*.f64 z (*.f64 y #s(literal 1/6 binary64)))
#s(literal 1/6 binary64)
(*.f64 y z)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
t
Results
247.0ms234×0valid
21.0ms21×0invalid
4.0ms1×5exit
Compiler

Compiled 338 to 170 computations (49.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 206.0ms
ival-mult: 109.0ms (52.8% of total)
ival-add: 53.0ms (25.7% of total)
ival-div: 14.0ms (6.8% of total)
ival-log1p: 11.0ms (5.3% of total)
ival-sub: 7.0ms (3.4% of total)
const: 6.0ms (2.9% of total)
ival-expm1: 4.0ms (1.9% of total)
backward-pass: 1.0ms (0.5% of total)

series91.0ms (0.5%)

Counts
8 → 228
Calls
Call 1
Inputs
#<alt (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y))))))>
#<alt (/.f64 (*.f64 y z) t)>
#<alt (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))))) t)>
#<alt (*.f64 y (/.f64 z t))>
#<alt (-.f64 x (/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))>
#<alt (/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)>
#<alt (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))>
#<alt (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))>
Outputs
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 y (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))))))))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) y)) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) y)) (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) y)) (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 3/2 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) y)) (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 54 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 3/2 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) y)) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) y)) (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) y)) (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 3/2 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) y)) (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 54 binary64) (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) y))) z))) z)) #s(literal 3 binary64)) z))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))) #s(literal 2 binary64))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))))>
#<alt (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))) #s(literal 3 binary64))))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))))>
#<alt (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))) #s(literal 2 binary64)))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))) #s(literal 4 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))) #s(literal 3 binary64)))))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))))>
#<alt (+.f64 (log.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (+.f64 (log.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))))))>
#<alt (-.f64 (+.f64 (log.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z))))))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))) #s(literal 2 binary64))))))>
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#<alt (*.f64 y (-.f64 (+.f64 (exp.f64 z) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 y (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -24 binary64) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)))))))))) #s(literal 1 binary64)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (exp.f64 z) #s(literal 1 binary64))))))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (exp.f64 z) #s(literal 1 binary64)))))))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64))))))) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (exp.f64 z) #s(literal 1 binary64))))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (-.f64 (exp.f64 z) #s(literal 1 binary64))))))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (-.f64 (exp.f64 z) #s(literal 1 binary64))))) y)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64))))))) y))) y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (-.f64 (exp.f64 z) #s(literal 1 binary64))))) y)))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 y (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -12 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (+.f64 y (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 12 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)))))))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 y (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 y (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 3 binary64)))))))))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))))>
Calls

66 calls:

TimeVariablePointExpression
21.0ms
z
@-inf
(log (+ 1 (log (+ 1 (* y (- (exp z) 1))))))
20.0ms
z
@inf
(log (+ 1 (log (+ 1 (* y (- (exp z) 1))))))
4.0ms
z
@0
(log (+ 1 (log (+ 1 (* y (- (exp z) 1))))))
4.0ms
y
@inf
(log (+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))))
4.0ms
y
@-inf
(log (+ 1 (log (+ 1 (* y (- (exp z) 1))))))

rewrite181.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
336×log1p-expm1-u
334×expm1-log1p-u
322×add-cube-cbrt
321×add-exp-log
321×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043293
1734277
Stop Event
1×node limit
Counts
8 → 196
Calls
Call 1
Inputs
(log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))))) t)
(*.f64 y (/.f64 z t))
(-.f64 x (/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
(/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 y #s(literal 1/2 binary64))) y))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 y #s(literal 1/2 binary64))) y))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 y #s(literal 1/2 binary64))) y)))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 y #s(literal 1/2 binary64))) y)))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 y #s(literal 1/2 binary64))) y)))) (sqrt.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 y #s(literal 1/2 binary64))) y)))))
(pow.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 y #s(literal 1/2 binary64))) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 y #s(literal 1/2 binary64))) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 y #s(literal 1/2 binary64))) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 y #s(literal 1/2 binary64))) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 y #s(literal 1/2 binary64))) y))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 y #s(literal 1/2 binary64))) y))))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 y #s(literal 1/2 binary64))) y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 y #s(literal 1/2 binary64))) y)))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 y #s(literal 1/2 binary64))) y)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 y #s(literal 1/2 binary64))) y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z t)))) #s(literal 1 binary64))
(*.f64 y (/.f64 z t))
(*.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) t))
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z t)))
(*.f64 (/.f64 z t) y)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 z t))))
(*.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) (sqrt.f64 (*.f64 y (/.f64 z t))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (/.f64 (*.f64 z y) (cbrt.f64 t)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) (/.f64 (*.f64 z y) (sqrt.f64 t)))
(*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 y (sqrt.f64 t)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z t))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 t)))
(*.f64 (/.f64 y (sqrt.f64 t)) (/.f64 z (sqrt.f64 t)))
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(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)) (*.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)) (*.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (*.f64 x (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(log.f64 (+.f64 #s(literal 1 binary64) (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)) #s(literal 3 binary64)))
(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))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 #s(literal 1 binary64) t))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 #s(literal 1 binary64) t))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 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 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 2 binary64)) (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)))) #s(literal 1 binary64)) (/.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) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)))
(pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 2 binary64))
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)))
(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)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 2 binary64)) (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))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 3 binary64)))
(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)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(*.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(exp.f64 (log.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) #s(literal 1 binary64)))

simplify275.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
727×fma-define
447×distribute-lft-in
446×distribute-rgt-in
320×*-commutative
267×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0105825468
1308823738
Stop Event
1×node limit
Counts
424 → 509
Calls
Call 1
Inputs
(*.f64 y z)
(*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))))))))
(*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 y (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))))))))))
(+.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) y)) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))))
(+.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) y)) (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z))))
(+.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) y)) (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 3/2 binary64) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) y)) (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 54 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 3/2 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(+.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) y)) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))))
(+.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) y)) (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z))))
(+.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) y)) (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 3/2 binary64) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) y)) (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 54 binary64) (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) y))) z))) z)) #s(literal 3 binary64)) z))))
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z))))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))) #s(literal 2 binary64))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))))
(*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))) #s(literal 3 binary64))))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))))
(*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))) #s(literal 2 binary64)))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))) #s(literal 4 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))) #s(literal 3 binary64)))))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))))
(+.f64 (log.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (log.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))))))
(-.f64 (+.f64 (log.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z))))))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))) #s(literal 2 binary64))))))
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(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))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 #s(literal 1 binary64) t))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 #s(literal 1 binary64) t))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 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 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 2 binary64)) (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)))) #s(literal 1 binary64)) (/.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) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)))
(pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 2 binary64))
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)))
(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)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 2 binary64)) (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))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 3 binary64)))
(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)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(*.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(exp.f64 (log.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) #s(literal 1 binary64)))
Outputs
(*.f64 y z)
(*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 y (neg.f64 (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 z (-.f64 y (pow.f64 y #s(literal 2 binary64)))) y))
(*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))))))))
(*.f64 z (+.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 z (+.f64 y (fma.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (neg.f64 (pow.f64 y #s(literal 2 binary64)))))))))
(*.f64 z (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (-.f64 y (pow.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 z #s(literal 1/6 binary64)) (+.f64 y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -3 binary64)))))) y))
(*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 y (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))))))))))
(*.f64 z (+.f64 y (*.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 y (neg.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 z (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64)))))) (*.f64 #s(literal 1/6 binary64) (+.f64 y (fma.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))))))))))
(*.f64 z (fma.f64 z (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (+.f64 y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -3 binary64)))) (*.f64 (*.f64 z #s(literal 1/24 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -7 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 y (pow.f64 y #s(literal 2 binary64))))) y))
(+.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) y)) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))))
(+.f64 (log.f64 (*.f64 y #s(literal 1/6 binary64))) (*.f64 #s(literal -3 binary64) (neg.f64 (log.f64 z))))
(fma.f64 #s(literal -3 binary64) (neg.f64 (log.f64 z)) (log.f64 (*.f64 y #s(literal 1/6 binary64))))
(+.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) y)) (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z))))
(+.f64 (log.f64 (*.f64 y #s(literal 1/6 binary64))) (fma.f64 #s(literal -3 binary64) (neg.f64 (log.f64 z)) (/.f64 #s(literal 3 binary64) z)))
(+.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) y)) (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 3/2 binary64) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 y #s(literal 1/6 binary64))) (fma.f64 #s(literal -3 binary64) (neg.f64 (log.f64 z)) (+.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 #s(literal 3/2 binary64) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 y #s(literal 1/6 binary64))) (+.f64 (fma.f64 #s(literal -3 binary64) (neg.f64 (log.f64 z)) (/.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal 3/2 binary64) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) y)) (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 54 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 3/2 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(+.f64 (log.f64 (*.f64 y #s(literal 1/6 binary64))) (fma.f64 #s(literal -3 binary64) (neg.f64 (log.f64 z)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 36 binary64) y) #s(literal -54 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 #s(literal 3/2 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(+.f64 (fma.f64 #s(literal -3 binary64) (neg.f64 (log.f64 z)) (log.f64 (*.f64 y #s(literal 1/6 binary64)))) (+.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 36 binary64) y) #s(literal -54 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal 3/2 binary64) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) y)) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))))
(+.f64 (log.f64 (*.f64 y #s(literal -1/6 binary64))) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))))
(fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (*.f64 y #s(literal -1/6 binary64))))
(+.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) y)) (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z))))
(+.f64 (log.f64 (*.f64 y #s(literal -1/6 binary64))) (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal 3 binary64) z)))
(+.f64 (/.f64 #s(literal 3 binary64) z) (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (*.f64 y #s(literal -1/6 binary64)))))
(+.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) y)) (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 3/2 binary64) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 y #s(literal -1/6 binary64))) (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)) (+.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 #s(literal 3/2 binary64) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (+.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 #s(literal 3/2 binary64) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (*.f64 y #s(literal -1/6 binary64)))))
(+.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) y)) (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 54 binary64) (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) y))) z))) z)) #s(literal 3 binary64)) z))))
(+.f64 (log.f64 (*.f64 y #s(literal -1/6 binary64))) (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 54 binary64) (/.f64 #s(literal 36 binary64) y)) z))) z) #s(literal -3 binary64)) z))))
(-.f64 (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (*.f64 y #s(literal -1/6 binary64)))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 54 binary64) (/.f64 #s(literal -36 binary64) y)) z) #s(literal 3/2 binary64)) z) #s(literal -3 binary64)) z))
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z))))))
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))
(*.f64 (*.f64 y z) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))) #s(literal 2 binary64))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))) #s(literal 2 binary64)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))))
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(pow.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) #s(literal 2 binary64))
(log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
(sqrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 2 binary64)))
(fabs.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
(cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 3 binary64)))
(log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
(expm1.f64 (log1p.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(exp.f64 (log.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) #s(literal 1 binary64)))
(log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))

eval296.0ms (1.6%)

Compiler

Compiled 14175 to 8098 computations (42.9% saved)

prune135.0ms (0.7%)

Pruning

22 alts after pruning (12 fresh and 10 done)

PrunedKeptTotal
New5036509
Fresh167
Picked145
Done066
Total50522527
Accuracy
100.0%
Counts
527 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.1%
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
57.6%
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 2 binary64)))
46.0%
(-.f64 x (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 t)))
▶67.0%
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) t))
✓74.6%
(-.f64 x (/.f64 (*.f64 y z) t))
✓72.0%
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y)))))))) t))
✓74.0%
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y)))))) t))
▶74.8%
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z))))) t))
✓98.2%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
✓80.3%
(-.f64 x (/.f64 (log1p.f64 (log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))) t))
✓98.1%
(-.f64 x (/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
60.4%
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
▶74.5%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))))
▶79.7%
(-.f64 x (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 #s(literal 1 binary64) t)))
✓98.2%
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
74.5%
(-.f64 x (*.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) t)))
✓84.0%
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
▶73.8%
(-.f64 x (*.f64 z (/.f64 y t)))
67.9%
(-.f64 x (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) t)) (/.f64 y t))))
✓75.4%
(-.f64 x (*.f64 y (/.f64 z t)))
53.9%
(-.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 4 binary64)) t))))
✓68.9%
x
Compiler

Compiled 529 to 368 computations (30.4% saved)

localize864.0ms (4.6%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 #s(literal 1 binary64) t))
✓cost-diff0
(-.f64 x (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 #s(literal 1 binary64) t)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))
✓cost-diff128
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))))
✓accuracy93.3%
(/.f64 t (*.f64 z y))
✓accuracy93.3%
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z))))) t)
✓accuracy92.6%
(/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) t)
✓accuracy54.1%
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 #s(literal 1 binary64) t))
Rules
890×fma-define
813×fma-neg
419×distribute-lft-neg-in
411×distribute-lft-in
396×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0451013
1113945
2290945
3814930
42273930
55599930
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 x (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 #s(literal 1 binary64) t)))
x
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 #s(literal 1 binary64) t))
(/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z))))
#s(literal 1 binary64)
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
y
(expm1.f64 z)
z
t
(/.f64 #s(literal 1 binary64) t)
(-.f64 x (*.f64 z (/.f64 y t)))
x
(*.f64 z (/.f64 y t))
z
(/.f64 y t)
y
t
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))))
x
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))
#s(literal 1 binary64)
(/.f64 t (*.f64 z y))
t
(*.f64 z y)
z
y
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) t))
x
(/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) t)
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))
y
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))
z
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))
#s(literal 1 binary64)
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))
#s(literal 1/2 binary64)
(*.f64 z #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
t
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z))))) t))
x
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z))))) t)
(log1p.f64 (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z)))))
(*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z))))
z
(+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z)))
y
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
#s(literal 1/2 binary64)
(*.f64 y z)
t
Outputs
(-.f64 x (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 #s(literal 1 binary64) t)))
(+.f64 (-.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (/.f64 #s(literal 1 binary64) t))
(+.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))
(+.f64 x (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))
(-.f64 (+.f64 x (/.f64 #s(literal 1 binary64) t)) (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (-.f64 #s(literal -1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))
x
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 #s(literal 1 binary64) t))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 #s(literal -1 binary64) t))
(/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z))))
#s(literal 1 binary64)
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
y
(expm1.f64 z)
z
t
(/.f64 #s(literal 1 binary64) t)
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(fma.f64 z (/.f64 y (neg.f64 t)) x)
(-.f64 x (*.f64 y (/.f64 z t)))
x
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
z
(/.f64 y t)
y
t
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(fma.f64 z (/.f64 y (neg.f64 t)) x)
(-.f64 x (*.f64 y (/.f64 z t)))
x
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
#s(literal 1 binary64)
(/.f64 t (*.f64 z y))
(/.f64 t (*.f64 y z))
t
(*.f64 z y)
(*.f64 y z)
z
y
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) t))
(-.f64 x (*.f64 y (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))) t)))
(-.f64 x (*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) t)))
(-.f64 x (*.f64 y (*.f64 z (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) t))))
(fma.f64 z (*.f64 (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y (neg.f64 t))) x)
(fma.f64 (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 y (neg.f64 (/.f64 z t))) x)
(fma.f64 (*.f64 y (/.f64 z t)) (-.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x)
x
(/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) t)
(*.f64 y (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))) t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) t))
(*.f64 y (*.f64 z (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) t)))
(*.f64 y (*.f64 (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 z t)))
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))
(*.f64 (*.f64 y z) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 y (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
y
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))
(*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
z
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))
(fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))
(*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 z #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
t
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z))))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 (*.f64 y z) #s(literal 1/2 binary64))))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (fma.f64 (*.f64 y z) #s(literal 1/2 binary64) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))) t))
x
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z))))) t)
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 (*.f64 y z) #s(literal 1/2 binary64))))) t)
(/.f64 (log1p.f64 (*.f64 z (fma.f64 (*.f64 y z) #s(literal 1/2 binary64) y))) t)
(/.f64 (log1p.f64 (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) t)
(/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))) t)
(/.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))) t)
(log1p.f64 (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z)))))
(log1p.f64 (*.f64 z (+.f64 y (*.f64 (*.f64 y z) #s(literal 1/2 binary64)))))
(log1p.f64 (*.f64 z (fma.f64 (*.f64 y z) #s(literal 1/2 binary64) y)))
(log1p.f64 (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))
(log1p.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(log1p.f64 (*.f64 z (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z))))
(*.f64 z (+.f64 y (*.f64 (*.f64 y z) #s(literal 1/2 binary64))))
(*.f64 z (fma.f64 (*.f64 y z) #s(literal 1/2 binary64) y))
(*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))
(*.f64 y (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 z (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))
z
(+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z)))
(+.f64 y (*.f64 (*.f64 y z) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y z) #s(literal 1/2 binary64) y)
(fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)
(*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)))
y
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 1/2 binary64))
(*.f64 y (*.f64 z #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 y z)
t
Results
284.0ms101×1valid
321.0ms74×2valid
32.0ms44×0invalid
30.0ms36×0valid
5.0ms1×5exit
Compiler

Compiled 268 to 128 computations (52.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 457.0ms
ival-mult: 150.0ms (32.8% of total)
ival-add: 102.0ms (22.3% of total)
backward-pass: 59.0ms (12.9% of total)
ival-div: 52.0ms (11.4% of total)
ival-expm1: 49.0ms (10.7% of total)
ival-log1p: 21.0ms (4.6% of total)
ival-sub: 16.0ms (3.5% of total)
const: 8.0ms (1.7% of total)

series121.0ms (0.6%)

Counts
7 → 276
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 #s(literal 1 binary64) t))>
#<alt (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) t)>
#<alt (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z))))) t)>
#<alt (/.f64 t (*.f64 z y))>
#<alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))>
#<alt (-.f64 x (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 #s(literal 1 binary64) t)))>
Outputs
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))) t)>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))) t)) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal 1 binary64) t)))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) t)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64))) t)))) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal 1 binary64) t)))>
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#<alt (-.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) t)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) t))))>
#<alt (-.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) t)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) t)))))>
#<alt (-.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t)) (/.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) t)))>
#<alt (-.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) (/.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) t))))>
#<alt (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (exp.f64 z) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))))))) y))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t)) (/.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) t)))>
#<alt (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64))))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (exp.f64 z) #s(literal 1 binary64))))) y))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t)) (/.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) t)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) t)))>
#<alt (+.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) t)) (/.f64 y t))))>
#<alt (+.f64 x (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))) t)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) t)))) (/.f64 y t))))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t))>
#<alt (/.f64 (-.f64 (*.f64 t x) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))) t)>
#<alt (/.f64 (-.f64 (*.f64 t x) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))) t)>
#<alt (/.f64 (-.f64 (*.f64 t x) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))) t)>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)))>
#<alt x>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))) t)) (/.f64 #s(literal 1 binary64) t)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))) t)) (/.f64 #s(literal 1 binary64) t)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))) t)) (/.f64 #s(literal 1 binary64) t)))>
Calls

69 calls:

TimeVariablePointExpression
75.0ms
t
@0
(/ (log (+ 1 (* z (+ y (* 1/2 (* y z)))))) t)
6.0ms
t
@inf
(/ (log (+ 1 (* z (+ y (* 1/2 (* y z)))))) t)
4.0ms
z
@inf
(/ (log (+ 1 (* z (+ y (* 1/2 (* y z)))))) t)
2.0ms
z
@-inf
(- x (/ 1 (/ t (* z y))))
2.0ms
y
@0
(/ (* y (* z (+ 1 (* z (+ 1/2 (* z 1/6)))))) t)

rewrite106.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
335×log1p-expm1-u
334×expm1-log1p-u
324×add-cube-cbrt
322×add-exp-log
322×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040288
1724252
Stop Event
1×node limit
Counts
7 → 193
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 #s(literal 1 binary64) t))
(/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) t)
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z))))) t)
(/.f64 t (*.f64 z y))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))
(-.f64 x (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 #s(literal 1 binary64) t)))
Outputs
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (neg.f64 (/.f64 #s(literal 1 binary64) t)))
(+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (fma.f64 (neg.f64 (pow.f64 t #s(literal -1/2 binary64))) (pow.f64 t #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 t)) (cbrt.f64 (pow.f64 t #s(literal -2 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 t))) (cbrt.f64 (pow.f64 t #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 t)) (cbrt.f64 (pow.f64 t #s(literal -2 binary64))))))
(+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 #s(literal 1 binary64) t) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))))
(+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 #s(literal 1 binary64) t) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 t)) (cbrt.f64 (pow.f64 t #s(literal -2 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 t))) (cbrt.f64 (pow.f64 t #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 t)) (cbrt.f64 (pow.f64 t #s(literal -2 binary64))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 t)) (cbrt.f64 (pow.f64 t #s(literal -2 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 t))) (cbrt.f64 (pow.f64 t #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 t)) (cbrt.f64 (pow.f64 t #s(literal -2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 t)) (cbrt.f64 (pow.f64 t #s(literal -2 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 t))) (cbrt.f64 (pow.f64 t #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 t)) (cbrt.f64 (pow.f64 t #s(literal -2 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 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 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (*.f64 t #s(literal 1 binary64))) (pow.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) #s(literal 3 binary64)) (pow.f64 t #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) #s(literal 2 binary64)) (+.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 1 binary64)) (pow.f64 t #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) #s(literal 2 binary64)) (pow.f64 t #s(literal -2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 #s(literal 1 binary64) t)))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 t))
(/.f64 (-.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z))))) #s(literal -1 binary64)) (neg.f64 t))
(/.f64 (-.f64 t (*.f64 (/.f64 t (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z))))) #s(literal 1 binary64))) (*.f64 (/.f64 t (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 t #s(literal 1 binary64))) (*.f64 (/.f64 t (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z))))) #s(literal 1 binary64))) (*.f64 (/.f64 t (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z))))) (/.f64 t #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 t)) (*.f64 (/.f64 t (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z))))) #s(literal -1 binary64))) (*.f64 (/.f64 t (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z))))) (neg.f64 t)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 t #s(literal 1 binary64))) (*.f64 t #s(literal 1 binary64))) (*.f64 t (/.f64 t #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 t)) (*.f64 t #s(literal -1 binary64))) (*.f64 t (neg.f64 t)))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z))))) t) (*.f64 (neg.f64 t) #s(literal 1 binary64))) (*.f64 (neg.f64 t) t))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z))))) (/.f64 t #s(literal 1 binary64))) (*.f64 (neg.f64 t) #s(literal 1 binary64))) (*.f64 (neg.f64 t) (/.f64 t #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z))))) (neg.f64 t)) (*.f64 (neg.f64 t) #s(literal -1 binary64))) (*.f64 (neg.f64 t) (neg.f64 t)))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (*.f64 t #s(literal 1 binary64)))) (neg.f64 (pow.f64 t #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) #s(literal 3 binary64)) (pow.f64 t #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) #s(literal 2 binary64)) (+.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 1 binary64)) (pow.f64 t #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) #s(literal 2 binary64)) (pow.f64 t #s(literal -2 binary64)))) (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 #s(literal 1 binary64) t))))
(pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)))
(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)))
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(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 t z) y) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z))))
(exp.f64 (neg.f64 (log.f64 (/.f64 (/.f64 t z) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 t z) y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (/.f64 t z) y))) #s(literal 1 binary64)))
(+.f64 x (neg.f64 (/.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)))
(+.f64 (-.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (/.f64 #s(literal 1 binary64) t))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 1 binary64) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.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)) #s(literal 2 binary64))))) (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)) #s(literal 2 binary64)) (*.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)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 1 binary64) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (*.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)) #s(literal 2 binary64))))) (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)) #s(literal 2 binary64)) (*.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)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 1 binary64) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.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)) #s(literal 2 binary64))))) (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)) #s(literal 2 binary64)) (*.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)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(*.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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)) (*.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)) (*.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(log.f64 (+.f64 #s(literal 1 binary64) (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)) #s(literal 3 binary64)))
(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))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))

simplify596.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
482×fma-define
480×associate-*r*
412×times-frac
409×associate-*l*
247×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096025200
1276723233
Stop Event
1×node limit
Counts
469 → 484
Calls
Call 1
Inputs
(/.f64 (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))) t)
(*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))) t)) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal 1 binary64) t)))
(*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) t)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64))) t)))) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal 1 binary64) t)))
(*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) t)) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64))) t)) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)) t)))))) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal 1 binary64) t)))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))) t)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) t)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) t)))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) t)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) t))) (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) t)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) t)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))) t)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) (/.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) t)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (exp.f64 z) #s(literal 1 binary64))))) y)) (/.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) t)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (exp.f64 z) #s(literal 1 binary64))))) y)) (/.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 z) #s(literal 1 binary64)))) t)))
(/.f64 (*.f64 y z) t)
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) t)) (/.f64 y t)))
(*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))) t)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) t)))) (/.f64 y t)))
(*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) t)) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)))))))) t)) (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 y (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))) t)))))) (/.f64 y t)))
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) t)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))))) t))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))))) t))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))))) t))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64)))))))) t))
(/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))) t)
(/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))) t)
(/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))) t)
(/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))) t)
(/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))) t)
(/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))) t)
(/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))) t)
(/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))) t)
(/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))) t)
(/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))))) t)
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(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 t z) y) #s(literal -3 binary64)))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (/.f64 (/.f64 t z) y) #s(literal -2 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 t z) y) #s(literal -2 binary64)))) (neg.f64 (+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z)))))
(pow.f64 (-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z))))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z)))))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z)))))
(exp.f64 (log.f64 (-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 t z) y) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (/.f64 t z) y))))
(*.f64 (pow.f64 (/.f64 (/.f64 t z) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 t z) y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 t z) y)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 t z) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 t z) y)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (/.f64 t z) y)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 t z) y) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (/.f64 t z) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 t z) y) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 t z) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 t z) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 t z) y) #s(literal -2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 t z) y) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z))))
(exp.f64 (neg.f64 (log.f64 (/.f64 (/.f64 t z) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 t z) y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (/.f64 t z) y))) #s(literal 1 binary64)))
(+.f64 x (neg.f64 (/.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)))
(+.f64 (-.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (/.f64 #s(literal 1 binary64) t))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 1 binary64) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.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)) #s(literal 2 binary64))))) (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)) #s(literal 2 binary64)) (*.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)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 1 binary64) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (*.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)) #s(literal 2 binary64))))) (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)) #s(literal 2 binary64)) (*.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)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 1 binary64) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.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)) #s(literal 2 binary64))))) (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)) #s(literal 2 binary64)) (*.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)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(*.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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)) (*.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)) (*.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(log.f64 (+.f64 #s(literal 1 binary64) (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)) #s(literal 3 binary64)))
(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))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
Outputs
(/.f64 (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))) t)) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal 1 binary64) t)))
(*.f64 y (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) t) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal -1 binary64) t)))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t)) (/.f64 (expm1.f64 z) t)))
(*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) t)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64))) t)))) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal 1 binary64) t)))
(*.f64 y (+.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) t))) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal -1 binary64) t)))
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (*.f64 (*.f64 #s(literal 1/3 binary64) y) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t))) (/.f64 (expm1.f64 z) t)))
(*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) t)) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64))) t)) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)) t)))))) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal 1 binary64) t)))
(*.f64 y (+.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (*.f64 y (fma.f64 #s(literal -1/4 binary64) (*.f64 y (/.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) t)) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t))))) (/.f64 (exp.f64 z) t)) (/.f64 #s(literal -1 binary64) t)))
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) (*.f64 y (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) t) #s(literal -1/4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t))) (/.f64 (expm1.f64 z) t)))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) t)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) t)))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 y)) t) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t y) (expm1.f64 z))) (/.f64 (log.f64 (expm1.f64 z)) t)))
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (expm1.f64 z)) t)))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) t)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 (exp.f64 z) #s(literal 1 binary64))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64))) t))) (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 y)) t) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t y) (expm1.f64 z))) (/.f64 (log.f64 (expm1.f64 z)) t))) (/.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (expm1.f64 z)) t)) (/.f64 #s(literal -1/2 binary64) (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
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eval175.0ms (0.9%)

Compiler

Compiled 11610 to 6250 computations (46.2% saved)

prune120.0ms (0.6%)

Pruning

29 alts after pruning (15 fresh and 14 done)

PrunedKeptTotal
New47410484
Fresh257
Picked055
Done1910
Total47729506
Accuracy
100.0%
Counts
506 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.9%
(/.f64 (*.f64 y (neg.f64 z)) t)
31.1%
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
57.6%
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 2 binary64)))
74.9%
(-.f64 x (/.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 t)) (pow.f64 t #s(literal 2 binary64))))
✓67.0%
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) t))
68.3%
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64))))) t))
✓74.6%
(-.f64 x (/.f64 (*.f64 y z) t))
✓72.0%
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y)))))))) t))
✓74.0%
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y)))))) t))
✓74.8%
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z))))) t))
✓98.2%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
✓80.3%
(-.f64 x (/.f64 (log1p.f64 (log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))) t))
✓98.1%
(-.f64 x (/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
60.4%
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
74.5%
(-.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y z) t) #s(literal -1 binary64))))
75.4%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) y)))
✓74.5%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))))
✓79.7%
(-.f64 x (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 #s(literal 1 binary64) t)))
73.6%
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))))
74.5%
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z)))
✓98.2%
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
✓84.0%
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
✓73.8%
(-.f64 x (*.f64 z (/.f64 y t)))
67.9%
(-.f64 x (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) t)) (/.f64 y t))))
55.5%
(-.f64 x (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64))) t)))
53.9%
(-.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 4 binary64)) t))))
17.5%
(*.f64 y (/.f64 z (neg.f64 t)))
68.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 z)) (*.f64 t x))))
✓68.9%
x
Compiler

Compiled 872 to 527 computations (39.6% saved)

regimes221.0ms (1.2%)

Counts
36 → 1
Calls
Call 1
Inputs
x
(*.f64 y (/.f64 z (neg.f64 t)))
(/.f64 (*.f64 y (neg.f64 z)) t)
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (*.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) t)))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 z)) (*.f64 t x))))
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64))))) t))
(-.f64 x (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) t)) (/.f64 y t))))
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) t))
(-.f64 x (*.f64 y (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))) t))))
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))))) t))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 4 binary64)) t))))
(-.f64 x (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64))) t)))
(-.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y z) t) #s(literal -1 binary64))))
(+.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z))))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y)))))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) 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 x (*.f64 (/.f64 #s(literal 1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 #s(literal 1 binary64) t)))
(-.f64 x (/.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 t)) (pow.f64 t #s(literal 2 binary64))))
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
(-.f64 x (/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
(-.f64 x (/.f64 (log1p.f64 (log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))) t))
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal 2 binary64)))
(-.f64 x (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 t)))
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Calls

9 calls:

136.0ms
z
22.0ms
y
22.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
11.0ms
t
10.0ms
x
Results
AccuracySegmentsBranch
98.2%1x
99.9%3y
98.2%1z
98.2%1t
99.8%3(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
99.9%3(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
99.9%3(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
99.9%3(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
98.2%1(exp.f64 z)
Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes238.0ms (1.3%)

Counts
26 → 2
Calls
Call 1
Inputs
x
(*.f64 y (/.f64 z (neg.f64 t)))
(/.f64 (*.f64 y (neg.f64 z)) t)
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (*.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) t)))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 z)) (*.f64 t x))))
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64))))) t))
(-.f64 x (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) t)) (/.f64 y t))))
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) t))
(-.f64 x (*.f64 y (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))) t))))
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))))) t))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 4 binary64)) t))))
(-.f64 x (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64))) t)))
(-.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y z) t) #s(literal -1 binary64))))
(+.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z))))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y)))))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y)))))))) t))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
Outputs
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y)))))))) t))
Calls

5 calls:

149.0ms
t
50.0ms
x
20.0ms
y
14.0ms
z
2.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
93.3%3y
86.5%3x
92.2%2z
88.8%6t
92.2%2(exp.f64 z)
Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes17.0ms (0.1%)

Counts
24 → 2
Calls
Call 1
Inputs
x
(*.f64 y (/.f64 z (neg.f64 t)))
(/.f64 (*.f64 y (neg.f64 z)) t)
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (*.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) t)))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 z)) (*.f64 t x))))
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64))))) t))
(-.f64 x (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) t)) (/.f64 y t))))
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) t))
(-.f64 x (*.f64 y (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))) t))))
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))))) t))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 4 binary64)) t))))
(-.f64 x (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64))) t)))
(-.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y z) t) #s(literal -1 binary64))))
(+.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z))))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y)))))) t))
Outputs
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y)))))) t))
Calls

2 calls:

12.0ms
z
2.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
92.1%2z
92.1%2(exp.f64 z)
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes79.0ms (0.4%)

Counts
23 → 2
Calls
Call 1
Inputs
x
(*.f64 y (/.f64 z (neg.f64 t)))
(/.f64 (*.f64 y (neg.f64 z)) t)
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (*.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) t)))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 z)) (*.f64 t x))))
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64))))) t))
(-.f64 x (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) t)) (/.f64 y t))))
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) t))
(-.f64 x (*.f64 y (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))) t))))
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))))) t))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 4 binary64)) t))))
(-.f64 x (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64))) t)))
(-.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y z) t) #s(literal -1 binary64))))
(+.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z))))) t))
Outputs
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z))))) t))
Calls

2 calls:

75.0ms
z
2.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
92.0%2z
92.0%2(exp.f64 z)
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes27.0ms (0.1%)

Counts
22 → 2
Calls
Call 1
Inputs
x
(*.f64 y (/.f64 z (neg.f64 t)))
(/.f64 (*.f64 y (neg.f64 z)) t)
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (*.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) t)))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 z)) (*.f64 t x))))
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64))))) t))
(-.f64 x (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) t)) (/.f64 y t))))
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) t))
(-.f64 x (*.f64 y (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))) t))))
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))))) t))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 4 binary64)) t))))
(-.f64 x (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64))) t)))
(-.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y z) t) #s(literal -1 binary64))))
(+.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))))
Outputs
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (*.f64 y (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))) t))))
Calls

3 calls:

12.0ms
y
11.0ms
z
2.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
86.2%2y
86.7%2z
86.7%2(exp.f64 z)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes48.0ms (0.3%)

Counts
16 → 2
Calls
Call 1
Inputs
x
(*.f64 y (/.f64 z (neg.f64 t)))
(/.f64 (*.f64 y (neg.f64 z)) t)
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (*.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) t)))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 z)) (*.f64 t x))))
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64))))) t))
(-.f64 x (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) t)) (/.f64 y t))))
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) t))
(-.f64 x (*.f64 y (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))) t))))
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))))) t))
Outputs
x
(-.f64 x (*.f64 y (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))) t))))
Calls

4 calls:

18.0ms
x
14.0ms
t
10.0ms
z
5.0ms
y
Results
AccuracySegmentsBranch
77.7%2t
79.8%3x
77.3%2y
82.0%2z
Compiler

Compiled 20 to 16 computations (20% saved)

regimes9.0ms (0%)

Counts
14 → 2
Calls
Call 1
Inputs
x
(*.f64 y (/.f64 z (neg.f64 t)))
(/.f64 (*.f64 y (neg.f64 z)) t)
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (*.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) t)))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y z)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 z)) (*.f64 t x))))
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64))))) t))
(-.f64 x (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) t)) (/.f64 y t))))
(-.f64 x (/.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) t))
Outputs
x
(-.f64 x (*.f64 y (/.f64 z t)))
Calls

1 calls:

8.0ms
z
Results
AccuracySegmentsBranch
81.8%2z
Compiler

Compiled 5 to 4 computations (20% saved)

regimes11.0ms (0.1%)

Counts
3 → 3
Calls
Call 1
Inputs
x
(*.f64 y (/.f64 z (neg.f64 t)))
(/.f64 (*.f64 y (neg.f64 z)) t)
Outputs
x
(*.f64 y (/.f64 z (neg.f64 t)))
x
Calls

4 calls:

4.0ms
x
3.0ms
t
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
68.9%1y
70.9%3t
73.7%3x
68.9%1z
Compiler

Compiled 20 to 16 computations (20% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

3 calls:

0.0ms
x
0.0ms
y
0.0ms
z
Results
AccuracySegmentsBranch
68.9%1y
68.9%1z
68.9%1x
Compiler

Compiled 15 to 12 computations (20% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.310349486992551e-52
0.6867416847815764
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.310349486992551e-52
0.6867416847815764
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.310349486992551e-52
0.6867416847815764
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch23.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
22.0ms
-1.5141278732159306e-80
-4.693262815994861e-83
Results
11.0ms32×1valid
4.0ms32×0valid
4.0ms11×1invalid
Compiler

Compiled 180 to 130 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-log: 5.0ms (36.8% of total)
ival-exp: 3.0ms (22.1% of total)
ival-sub: 1.0ms (7.4% of total)
ival-div: 1.0ms (7.4% of total)
ival-mult: 1.0ms (7.4% of total)
backward-pass: 1.0ms (7.4% of total)
ival-add: 1.0ms (7.4% of total)
const: 0.0ms (0% of total)

bsearch33.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
31.0ms
-1.3576936988832908e-12
-8.375621965058903e-17
Results
14.0ms99×0valid
10.0ms29×1valid
2.0ms19×0invalid
Compiler

Compiled 280 to 210 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-log: 8.0ms (45.6% of total)
ival-exp: 3.0ms (17.1% of total)
ival-sub: 2.0ms (11.4% of total)
ival-add: 1.0ms (5.7% of total)
ival-div: 1.0ms (5.7% of total)
ival-mult: 1.0ms (5.7% of total)
backward-pass: 1.0ms (5.7% of total)
const: 0.0ms (0% of total)

bsearch32.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
30.0ms
-1.3576936988832908e-12
-8.375621965058903e-17
Results
13.0ms93×0valid
12.0ms35×1valid
1.0ms12×0invalid
Compiler

Compiled 168 to 122 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-log: 8.0ms (41.9% of total)
ival-exp: 3.0ms (15.7% of total)
ival-sub: 2.0ms (10.5% of total)
ival-add: 1.0ms (5.2% of total)
ival-div: 1.0ms (5.2% of total)
ival-mult: 1.0ms (5.2% of total)
backward-pass: 1.0ms (5.2% of total)
const: 0.0ms (0% of total)

bsearch194.0ms (1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
81.0ms
3.774444872637223e-170
1.9220870740736082e-161
42.0ms
-2.8455042685295405e-259
-2.568330429026138e-260
Results
61.0ms169×1valid
42.0ms60×0valid
7.0ms6×3valid
4.0ms5×2valid
Compiler

Compiled 279 to 213 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-log: 24.0ms (36.8% of total)
ival-exp: 17.0ms (26% of total)
ival-mult: 6.0ms (9.2% of total)
ival-sub: 5.0ms (7.7% of total)
ival-div: 5.0ms (7.7% of total)
backward-pass: 5.0ms (7.7% of total)
ival-add: 2.0ms (3.1% of total)
const: 1.0ms (1.5% of total)

simplify46.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
79×neg-mul-1
77×unsub-neg
60×*-commutative
46×+-commutative
41×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091777
1157777
2212777
3254777
4283777
5298777
6312777
7327777
8430777
9595777
10626777
11646777
12666777
13676777
14677777
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(if (<=.f64 (exp.f64 z) #s(literal 1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y)))))))) t)))
(if (<=.f64 (exp.f64 z) #s(literal 1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y)))))) t)))
(if (<=.f64 (exp.f64 z) #s(literal 1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z))))) t)))
(if (<=.f64 z #s(literal -213598703592091/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) (-.f64 x (*.f64 y (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))) t)))))
(if (<=.f64 z #s(literal -4436777100798803/39614081257132168796771975168 binary64)) x (-.f64 x (*.f64 y (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))) t)))))
(if (<=.f64 z #s(literal -6684876212141053/4951760157141521099596496896 binary64)) x (-.f64 x (*.f64 y (/.f64 z t))))
(if (<=.f64 x #s(literal -4085432626315821/69244620785013915169893880288577664649638356718206520148356066053544201755915040781030818563707002931730762300556198370198467059319135998738502644985094416224536059445117594392163977484884566481701992255745056886508490364387532700233026358315193005046436800875428314917896192 binary64)) x (if (<=.f64 x #s(literal 403664874540743/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512 binary64)) (*.f64 y (/.f64 z (neg.f64 t))) x))
x
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(if (<=.f64 (exp.f64 z) #s(literal 1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 #s(literal 1/6 binary64) y)))))))) t)))
(if (<=.f64 (exp.f64 z) #s(literal 1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 z (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y z)) (*.f64 y #s(literal 1/6 binary64))))))))) t)))
(if (<=.f64 (exp.f64 z) #s(literal 1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) y)))))) t)))
(if (<=.f64 (exp.f64 z) #s(literal 1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))))))) t)))
(if (<=.f64 (exp.f64 z) #s(literal 1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y z))))) t)))
(if (<=.f64 z #s(literal -213598703592091/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) (-.f64 x (*.f64 y (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))) t)))))
(if (<=.f64 z #s(literal -213598703592091/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) (+.f64 x (*.f64 y (*.f64 z (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))) t)))))
(if (<=.f64 z #s(literal -4436777100798803/39614081257132168796771975168 binary64)) x (-.f64 x (*.f64 y (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))) t)))))
(if (<=.f64 z #s(literal -4436777100798803/39614081257132168796771975168 binary64)) x (+.f64 x (*.f64 y (*.f64 z (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal 1/24 binary64))))))) t)))))
(if (<=.f64 z #s(literal -6684876212141053/4951760157141521099596496896 binary64)) x (-.f64 x (*.f64 y (/.f64 z t))))
(if (<=.f64 x #s(literal -4085432626315821/69244620785013915169893880288577664649638356718206520148356066053544201755915040781030818563707002931730762300556198370198467059319135998738502644985094416224536059445117594392163977484884566481701992255745056886508490364387532700233026358315193005046436800875428314917896192 binary64)) x (if (<=.f64 x #s(literal 403664874540743/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512 binary64)) (*.f64 y (/.f64 z (neg.f64 t))) x))
(if (<=.f64 x #s(literal -4085432626315821/69244620785013915169893880288577664649638356718206520148356066053544201755915040781030818563707002931730762300556198370198467059319135998738502644985094416224536059445117594392163977484884566481701992255745056886508490364387532700233026358315193005046436800875428314917896192 binary64)) x (if (<=.f64 x #s(literal 403664874540743/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512 binary64)) (*.f64 y (neg.f64 (/.f64 z t))) x))
(if (<=.f64 x #s(literal -4085432626315821/69244620785013915169893880288577664649638356718206520148356066053544201755915040781030818563707002931730762300556198370198467059319135998738502644985094416224536059445117594392163977484884566481701992255745056886508490364387532700233026358315193005046436800875428314917896192 binary64)) x (if (<=.f64 x #s(literal 403664874540743/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512 binary64)) (*.f64 y (/.f64 (neg.f64 z) t)) x))
x

soundness1.5s (8%)

Rules
1592×fma-neg
748×fma-neg
621×fma-define
482×fma-define
480×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077026417
1215221712
2693521464
076912
1161832
2423736
31139734
43217648
55929648
66632648
76888648
87095648
97228648
107300648
096025200
1276723233
043293
1734277
094528795
1264226578
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 569 to 302 computations (46.9% saved)

preprocess92.0ms (0.5%)

Compiler

Compiled 524 to 290 computations (44.7% saved)

end0.0ms (0%)

Profiling

Loading profile data...