Optimisation.CirclePacking:place from circle-packing-0.1.0.4, D

Time bar (total: 4.4s)

analyze130.0ms (2.9%)

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
50%49.9%49.9%0.2%0%0%0%5
50%49.9%49.9%0.2%0%0%0%6
50%49.9%49.9%0.2%0%0%0%7
50%49.9%49.9%0.2%0%0%0%8
75%74.9%25%0.2%0%0%0%9
75%74.9%25%0.2%0%0%0%10
75%74.9%25%0.2%0%0%0%11
75%74.9%25%0.2%0%0%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
Operation ival-mult, time spent: 8.0ms, 33.0% of total-time
Operation ival-sub, time spent: 7.0ms, 28.0% of total-time
Operation ival-add, time spent: 6.0ms, 24.0% of total-time
Operation ival-div, time spent: 4.0ms, 16.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

sample1.5s (33.5%)

Results
1.1s6205×0valid
376.0ms2050×0infinite
0.0ms1×0valid
Precisions
Click to see histograms. Total time spent on operations: 580.0ms
Operation ival-sub, time spent: 228.0ms, 39.0% of total-time
Operation ival-add, time spent: 161.0ms, 28.0% of total-time
Operation ival-div, time spent: 97.0ms, 17.0% of total-time
Operation ival-mult, time spent: 81.0ms, 14.0% of total-time
Operation const, time spent: 14.0ms, 2.0% of total-time
Bogosity

preprocess197.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
1456×div-sub
906×fma-def
732×unsub-neg
574×sub-neg
490×distribute-lft-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
210-1(-4.939910109609525e-216 -5.3521811320751e-99 -2.9525540937308338e-298 2.6803202841816034e-10)(/.f64 (*.f64 y (-.f64 z x)) t)
00-0-x
00-0-(-.f64 z x)
00-0-z
00-0-(*.f64 y (-.f64 z x))
00-0-t
00-0-(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
00-0-y
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060688
1138672
2365608
31280600
45050600
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
(+.f64 (neg.f64 x) (/.f64 (*.f64 y (-.f64 z (neg.f64 x))) t))
(+.f64 x (/.f64 (*.f64 (neg.f64 y) (-.f64 z x)) t))
(+.f64 x (/.f64 (*.f64 y (-.f64 (neg.f64 z) x)) t))
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) (neg.f64 t)))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (*.f64 y (-.f64 z (neg.f64 x))) t)))
(neg.f64 (+.f64 x (/.f64 (*.f64 (neg.f64 y) (-.f64 z x)) t)))
(neg.f64 (+.f64 x (/.f64 (*.f64 y (-.f64 (neg.f64 z) x)) t)))
(neg.f64 (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) (neg.f64 t))))
(+.f64 y (/.f64 (*.f64 x (-.f64 z y)) t))
(+.f64 z (/.f64 (*.f64 y (-.f64 x z)) t))
(+.f64 t (/.f64 (*.f64 y (-.f64 z t)) x))
(+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))
(+.f64 x (/.f64 (*.f64 t (-.f64 z x)) y))
(+.f64 x (/.f64 (*.f64 y (-.f64 t x)) z))
Outputs
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (-.f64 z x) (/.f64 y t) x)
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (-.f64 z x) (/.f64 y t) x)
(+.f64 (neg.f64 x) (/.f64 (*.f64 y (-.f64 z (neg.f64 x))) t))
(-.f64 (/.f64 (+.f64 x z) (/.f64 t y)) x)
(-.f64 (*.f64 (+.f64 x z) (/.f64 y t)) x)
(-.f64 (*.f64 y (/.f64 (+.f64 x z) t)) x)
(+.f64 x (/.f64 (*.f64 (neg.f64 y) (-.f64 z x)) t))
(+.f64 x (/.f64 (*.f64 (-.f64 z x) (neg.f64 y)) t))
(+.f64 x (*.f64 (/.f64 (neg.f64 y) t) (-.f64 z x)))
(+.f64 x (*.f64 (/.f64 y t) (-.f64 x z)))
(fma.f64 (/.f64 y t) (-.f64 x z) x)
(+.f64 x (/.f64 (*.f64 y (-.f64 (neg.f64 z) x)) t))
(+.f64 x (*.f64 (/.f64 y t) (-.f64 (neg.f64 z) x)))
(-.f64 x (*.f64 (+.f64 x z) (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 (+.f64 x z) t)))
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) (neg.f64 t)))
(+.f64 x (/.f64 (*.f64 (-.f64 z x) (neg.f64 y)) t))
(+.f64 x (*.f64 (/.f64 (neg.f64 y) t) (-.f64 z x)))
(+.f64 x (*.f64 (/.f64 y t) (-.f64 x z)))
(fma.f64 (/.f64 y t) (-.f64 x z) x)
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (*.f64 y (-.f64 z (neg.f64 x))) t)))
(+.f64 x (/.f64 (*.f64 y (-.f64 (neg.f64 z) x)) t))
(+.f64 x (*.f64 (/.f64 y t) (-.f64 (neg.f64 z) x)))
(-.f64 x (*.f64 (+.f64 x z) (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 (+.f64 x z) t)))
(neg.f64 (+.f64 x (/.f64 (*.f64 (neg.f64 y) (-.f64 z x)) t)))
(neg.f64 (+.f64 x (/.f64 (*.f64 (-.f64 z x) (neg.f64 y)) t)))
(-.f64 (neg.f64 x) (*.f64 (/.f64 (neg.f64 y) t) (-.f64 z x)))
(-.f64 (*.f64 (-.f64 z x) (/.f64 y t)) x)
(-.f64 (*.f64 y (/.f64 (-.f64 z x) t)) x)
(neg.f64 (+.f64 x (/.f64 (*.f64 y (-.f64 (neg.f64 z) x)) t)))
(+.f64 (neg.f64 x) (/.f64 (*.f64 y (-.f64 z (neg.f64 x))) t))
(-.f64 (/.f64 (+.f64 x z) (/.f64 t y)) x)
(-.f64 (*.f64 (+.f64 x z) (/.f64 y t)) x)
(-.f64 (*.f64 y (/.f64 (+.f64 x z) t)) x)
(neg.f64 (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) (neg.f64 t))))
(neg.f64 (+.f64 x (/.f64 (*.f64 (-.f64 z x) (neg.f64 y)) t)))
(-.f64 (neg.f64 x) (*.f64 (/.f64 (neg.f64 y) t) (-.f64 z x)))
(-.f64 (*.f64 (-.f64 z x) (/.f64 y t)) x)
(-.f64 (*.f64 y (/.f64 (-.f64 z x) t)) x)
(+.f64 y (/.f64 (*.f64 x (-.f64 z y)) t))
(+.f64 y (*.f64 (/.f64 x t) (-.f64 z y)))
(fma.f64 (/.f64 x t) (-.f64 z y) y)
(fma.f64 (-.f64 z y) (/.f64 x t) y)
(+.f64 z (/.f64 (*.f64 y (-.f64 x z)) t))
(+.f64 z (/.f64 (-.f64 x z) (/.f64 t y)))
(fma.f64 (/.f64 y t) (-.f64 x z) z)
(+.f64 t (/.f64 (*.f64 y (-.f64 z t)) x))
(+.f64 t (*.f64 (/.f64 y x) (-.f64 z t)))
(fma.f64 (/.f64 y x) (-.f64 z t) t)
(fma.f64 y (/.f64 (-.f64 z t) x) t)
(+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))
(+.f64 x (/.f64 z (/.f64 t (-.f64 y x))))
(+.f64 x (*.f64 (/.f64 z t) (-.f64 y x)))
(fma.f64 (/.f64 z t) (-.f64 y x) x)
(fma.f64 (-.f64 y x) (/.f64 z t) x)
(+.f64 x (/.f64 (*.f64 t (-.f64 z x)) y))
(+.f64 x (/.f64 t (/.f64 y (-.f64 z x))))
(+.f64 x (*.f64 (/.f64 t y) (-.f64 z x)))
(fma.f64 (/.f64 t y) (-.f64 z x) x)
(fma.f64 (-.f64 z x) (/.f64 t y) x)
(+.f64 x (/.f64 (*.f64 y (-.f64 t x)) z))
(+.f64 x (/.f64 y (/.f64 z (-.f64 t x))))
(+.f64 x (/.f64 (-.f64 t x) (/.f64 z y)))
(fma.f64 (/.f64 y z) (-.f64 t x) x)
(fma.f64 (-.f64 t x) (/.f64 y z) x)
Compiler

Compiled 79 to 26 computations (67.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
Operation ival-sub, time spent: 10.0ms, 36.0% of total-time
Operation ival-add, time spent: 8.0ms, 29.0% of total-time
Operation ival-mult, time spent: 5.0ms, 18.0% of total-time
Operation ival-div, time spent: 4.0ms, 15.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 38 to 13 computations (65.8% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶92.9%
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
▶95.7%
(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
▶96.5%
(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
Compiler

Compiled 39 to 24 computations (38.5% saved)

localize407.0ms (9.2%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 t (-.f64 z x))
Compiler

Compiled 87 to 15 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 207.0ms
Operation ival-add, time spent: 116.0ms, 56.0% of total-time
Operation ival-div, time spent: 48.0ms, 23.0% of total-time
Operation ival-mult, time spent: 21.0ms, 10.0% of total-time
Operation ival-sub, time spent: 20.0ms, 10.0% of total-time
Operation const, time spent: 2.0ms, 1.0% of total-time

series5.0ms (0.1%)

Counts
1 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
t
@inf
(/.f64 t (-.f64 z x))
1.0ms
z
@inf
(/.f64 t (-.f64 z x))
1.0ms
t
@0
(/.f64 t (-.f64 z x))
1.0ms
z
@0
(/.f64 t (-.f64 z x))
1.0ms
t
@-inf
(/.f64 t (-.f64 z x))

rewrite191.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
970×unpow-prod-down
754×prod-diff
668×log1p-expm1-u
668×expm1-log1p-u
636×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
112322
2173622
Stop Event
1×node limit
Counts
1 → 81
Calls
Call 1
Inputs
(/.f64 t (-.f64 z x))
Outputs
(+.f64 0 (/.f64 t (-.f64 z x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 t (-.f64 z x)))) (cbrt.f64 (exp.f64 (/.f64 t (-.f64 z x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 t (-.f64 z x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 t (-.f64 z x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 t (-.f64 z x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 t (-.f64 z x)))) 1)
(*.f64 t (/.f64 1 (-.f64 z x)))
(*.f64 t (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 z x))) 3))
(*.f64 t (pow.f64 (sqrt.f64 (/.f64 1 (-.f64 z x))) 2))
(*.f64 (/.f64 t (-.f64 z x)) 1)
(*.f64 (/.f64 t (-.f64 z x)) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 t (-.f64 z x)))
(*.f64 (cbrt.f64 (/.f64 t (-.f64 z x))) (pow.f64 (cbrt.f64 (/.f64 t (-.f64 z x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 t (-.f64 z x))) 2) (cbrt.f64 (/.f64 t (-.f64 z x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 t (-.f64 z x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 t (-.f64 z x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) (/.f64 1 (-.f64 z x))))
(*.f64 (sqrt.f64 (/.f64 t (-.f64 z x))) (sqrt.f64 (/.f64 t (-.f64 z x))))
(*.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 1 (-.f64 z x))))
(*.f64 (neg.f64 t) (/.f64 1 (neg.f64 (-.f64 z x))))
(*.f64 (neg.f64 t) (pow.f64 (/.f64 1 (neg.f64 (-.f64 z x))) 1))
(*.f64 (/.f64 1 (-.f64 z x)) t)
(*.f64 (/.f64 1 (-.f64 z x)) (pow.f64 (/.f64 1 t) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) -2) (/.f64 t (cbrt.f64 (-.f64 z x))))
(*.f64 (pow.f64 (-.f64 z x) -1/2) (/.f64 t (sqrt.f64 (-.f64 z x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1) (/.f64 (cbrt.f64 t) (-.f64 z x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 (-.f64 z x)) 2)) (cbrt.f64 (/.f64 t (-.f64 z x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (sqrt.f64 (-.f64 z x))) (/.f64 (cbrt.f64 t) (sqrt.f64 (-.f64 z x))))
(*.f64 (/.f64 (sqrt.f64 t) 1) (/.f64 (sqrt.f64 t) (-.f64 z x)))
(*.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 (-.f64 z x)) 2)) (/.f64 (sqrt.f64 t) (cbrt.f64 (-.f64 z x))))
(*.f64 (/.f64 t (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 x (+.f64 z x) (pow.f64 z 2)))
(*.f64 (/.f64 t (-.f64 (pow.f64 z 2) (pow.f64 x 2))) (+.f64 z x))
(*.f64 (pow.f64 1 1/3) (/.f64 t (-.f64 z x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) -2) 1) (pow.f64 (/.f64 t (cbrt.f64 (-.f64 z x))) 1))
(*.f64 (pow.f64 (pow.f64 (-.f64 z x) -1/2) 1) (pow.f64 (/.f64 t (sqrt.f64 (-.f64 z x))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 t) (-.f64 z x)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 (-.f64 z x)) 2)) 1) (cbrt.f64 (/.f64 t (-.f64 z x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (sqrt.f64 (-.f64 z x))) 1) (pow.f64 (/.f64 (cbrt.f64 t) (sqrt.f64 (-.f64 z x))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 t) 1) 1) (pow.f64 (/.f64 (sqrt.f64 t) (-.f64 z x)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 (-.f64 z x)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 t) (cbrt.f64 (-.f64 z x))) 1))
(*.f64 (pow.f64 (/.f64 t (-.f64 (pow.f64 z 3) (pow.f64 x 3))) 1) (fma.f64 x (+.f64 z x) (pow.f64 z 2)))
(*.f64 (pow.f64 (/.f64 t (-.f64 (pow.f64 z 2) (pow.f64 x 2))) 1) (+.f64 z x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 t (-.f64 z x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (-.f64 z x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 t (-.f64 z x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 t (-.f64 z x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (-.f64 z x)))) (cbrt.f64 (cbrt.f64 (/.f64 t (-.f64 z x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (-.f64 z x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 t (-.f64 z x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 t (-.f64 z x)))) 3))
(*.f64 (pow.f64 (pow.f64 (/.f64 t (-.f64 z x)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 t (-.f64 z x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 t (-.f64 z x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 t (-.f64 z x)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 t (-.f64 z x)) 2) t) 1/3) (pow.f64 (/.f64 1 (-.f64 z x)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 t (-.f64 z x)) (cbrt.f64 (/.f64 t (-.f64 z x)))) 2) 1/3) (pow.f64 (cbrt.f64 (/.f64 t (-.f64 z x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (/.f64 t (-.f64 z x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (/.f64 t (-.f64 z x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 t (-.f64 z x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 t (-.f64 z x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 t (-.f64 z x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 t (-.f64 z x)))) 2))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 z x) t)) (cbrt.f64 (/.f64 (-.f64 z x) t))) -1) (cbrt.f64 (/.f64 t (-.f64 z x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 t) -2) -1) (pow.f64 (/.f64 (-.f64 z x) (cbrt.f64 t)) -1))
(*.f64 (pow.f64 (pow.f64 t -1/2) -1) (pow.f64 (/.f64 (-.f64 z x) (sqrt.f64 t)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 z x)) t) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) (pow.f64 (cbrt.f64 t) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 t)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) (sqrt.f64 t)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 z x)) (sqrt.f64 t)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 z x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 z x)) t) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 z x)) (pow.f64 (cbrt.f64 t) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 z x)) (cbrt.f64 t)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 z x)) (sqrt.f64 t)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 z x)) (sqrt.f64 t)) -1))
(pow.f64 (/.f64 t (-.f64 z x)) 1)
(pow.f64 (cbrt.f64 (/.f64 t (-.f64 z x))) 3)
(pow.f64 (pow.f64 (/.f64 t (-.f64 z x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 t (-.f64 z x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 t (-.f64 z x))) 2)
(pow.f64 (/.f64 (-.f64 z x) t) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 z x) t) 1) -1)
(neg.f64 (/.f64 t (neg.f64 (-.f64 z x))))
(sqrt.f64 (pow.f64 (/.f64 t (-.f64 z x)) 2))
(log.f64 (exp.f64 (/.f64 t (-.f64 z x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 t (-.f64 z x)))))
(cbrt.f64 (pow.f64 (/.f64 t (-.f64 z x)) 3))
(cbrt.f64 (/.f64 (pow.f64 t 3) (pow.f64 (-.f64 z x) 3)))
(expm1.f64 (log1p.f64 (/.f64 t (-.f64 z x))))
(exp.f64 (log.f64 (/.f64 t (-.f64 z x))))
(exp.f64 (*.f64 (log.f64 (/.f64 t (-.f64 z x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 t (-.f64 z x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 t (-.f64 z x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 t (-.f64 z x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 t (-.f64 z x)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 z x) t)) -1))
(log1p.f64 (expm1.f64 (/.f64 t (-.f64 z x))))

simplify77.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1198×fma-def
1154×associate-*r/
1038×associate-*l/
510×sqr-pow
436×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02944781
17574597
226524264
Stop Event
1×node limit
Counts
105 → 134
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 t x))
(+.f64 (*.f64 -1 (/.f64 t x)) (*.f64 -1 (/.f64 (*.f64 t z) (pow.f64 x 2))))
(+.f64 (*.f64 -1 (/.f64 t x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 t z) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 t (pow.f64 z 2)) (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (/.f64 t x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 t z) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 t (pow.f64 z 2)) (pow.f64 x 3))) (*.f64 -1 (/.f64 (*.f64 t (pow.f64 z 3)) (pow.f64 x 4))))))
(/.f64 t z)
(+.f64 (/.f64 t z) (/.f64 (*.f64 t x) (pow.f64 z 2)))
(+.f64 (/.f64 t z) (+.f64 (/.f64 (*.f64 t x) (pow.f64 z 2)) (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 z 3))))
(+.f64 (/.f64 t z) (+.f64 (/.f64 (*.f64 t x) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 z 3)) (/.f64 (*.f64 t (pow.f64 x 3)) (pow.f64 z 4)))))
(/.f64 t z)
(+.f64 (/.f64 t z) (/.f64 (*.f64 t x) (pow.f64 z 2)))
(+.f64 (/.f64 t z) (+.f64 (/.f64 (*.f64 t x) (pow.f64 z 2)) (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 z 3))))
(+.f64 (/.f64 t z) (+.f64 (/.f64 (*.f64 t x) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 z 3)) (/.f64 (*.f64 t (pow.f64 x 3)) (pow.f64 z 4)))))
(/.f64 t z)
(+.f64 (/.f64 t z) (/.f64 (*.f64 t x) (pow.f64 z 2)))
(+.f64 (/.f64 t z) (+.f64 (/.f64 (*.f64 t x) (pow.f64 z 2)) (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 z 3))))
(+.f64 (/.f64 t z) (+.f64 (/.f64 (*.f64 t x) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 z 3)) (/.f64 (*.f64 t (pow.f64 x 3)) (pow.f64 z 4)))))
(*.f64 -1 (/.f64 t x))
(+.f64 (*.f64 -1 (/.f64 t x)) (*.f64 -1 (/.f64 (*.f64 t z) (pow.f64 x 2))))
(+.f64 (*.f64 -1 (/.f64 t x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 t z) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 t (pow.f64 z 2)) (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (/.f64 t x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 t z) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 t (pow.f64 z 2)) (pow.f64 x 3))) (*.f64 -1 (/.f64 (*.f64 t (pow.f64 z 3)) (pow.f64 x 4))))))
(*.f64 -1 (/.f64 t x))
(+.f64 (*.f64 -1 (/.f64 t x)) (*.f64 -1 (/.f64 (*.f64 t z) (pow.f64 x 2))))
(+.f64 (*.f64 -1 (/.f64 t x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 t z) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 t (pow.f64 z 2)) (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (/.f64 t x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 t z) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 t (pow.f64 z 2)) (pow.f64 x 3))) (*.f64 -1 (/.f64 (*.f64 t (pow.f64 z 3)) (pow.f64 x 4))))))
(+.f64 0 (/.f64 t (-.f64 z x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 t (-.f64 z x)))) (cbrt.f64 (exp.f64 (/.f64 t (-.f64 z x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 t (-.f64 z x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 t (-.f64 z x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 t (-.f64 z x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 t (-.f64 z x)))) 1)
(*.f64 t (/.f64 1 (-.f64 z x)))
(*.f64 t (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 z x))) 3))
(*.f64 t (pow.f64 (sqrt.f64 (/.f64 1 (-.f64 z x))) 2))
(*.f64 (/.f64 t (-.f64 z x)) 1)
(*.f64 (/.f64 t (-.f64 z x)) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 t (-.f64 z x)))
(*.f64 (cbrt.f64 (/.f64 t (-.f64 z x))) (pow.f64 (cbrt.f64 (/.f64 t (-.f64 z x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 t (-.f64 z x))) 2) (cbrt.f64 (/.f64 t (-.f64 z x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 t (-.f64 z x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 t (-.f64 z x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) (/.f64 1 (-.f64 z x))))
(*.f64 (sqrt.f64 (/.f64 t (-.f64 z x))) (sqrt.f64 (/.f64 t (-.f64 z x))))
(*.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 1 (-.f64 z x))))
(*.f64 (neg.f64 t) (/.f64 1 (neg.f64 (-.f64 z x))))
(*.f64 (neg.f64 t) (pow.f64 (/.f64 1 (neg.f64 (-.f64 z x))) 1))
(*.f64 (/.f64 1 (-.f64 z x)) t)
(*.f64 (/.f64 1 (-.f64 z x)) (pow.f64 (/.f64 1 t) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) -2) (/.f64 t (cbrt.f64 (-.f64 z x))))
(*.f64 (pow.f64 (-.f64 z x) -1/2) (/.f64 t (sqrt.f64 (-.f64 z x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1) (/.f64 (cbrt.f64 t) (-.f64 z x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 (-.f64 z x)) 2)) (cbrt.f64 (/.f64 t (-.f64 z x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (sqrt.f64 (-.f64 z x))) (/.f64 (cbrt.f64 t) (sqrt.f64 (-.f64 z x))))
(*.f64 (/.f64 (sqrt.f64 t) 1) (/.f64 (sqrt.f64 t) (-.f64 z x)))
(*.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 (-.f64 z x)) 2)) (/.f64 (sqrt.f64 t) (cbrt.f64 (-.f64 z x))))
(*.f64 (/.f64 t (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 x (+.f64 z x) (pow.f64 z 2)))
(*.f64 (/.f64 t (-.f64 (pow.f64 z 2) (pow.f64 x 2))) (+.f64 z x))
(*.f64 (pow.f64 1 1/3) (/.f64 t (-.f64 z x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) -2) 1) (pow.f64 (/.f64 t (cbrt.f64 (-.f64 z x))) 1))
(*.f64 (pow.f64 (pow.f64 (-.f64 z x) -1/2) 1) (pow.f64 (/.f64 t (sqrt.f64 (-.f64 z x))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 t) (-.f64 z x)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 (-.f64 z x)) 2)) 1) (cbrt.f64 (/.f64 t (-.f64 z x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (sqrt.f64 (-.f64 z x))) 1) (pow.f64 (/.f64 (cbrt.f64 t) (sqrt.f64 (-.f64 z x))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 t) 1) 1) (pow.f64 (/.f64 (sqrt.f64 t) (-.f64 z x)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 (-.f64 z x)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 t) (cbrt.f64 (-.f64 z x))) 1))
(*.f64 (pow.f64 (/.f64 t (-.f64 (pow.f64 z 3) (pow.f64 x 3))) 1) (fma.f64 x (+.f64 z x) (pow.f64 z 2)))
(*.f64 (pow.f64 (/.f64 t (-.f64 (pow.f64 z 2) (pow.f64 x 2))) 1) (+.f64 z x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 t (-.f64 z x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (-.f64 z x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 t (-.f64 z x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 t (-.f64 z x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (-.f64 z x)))) (cbrt.f64 (cbrt.f64 (/.f64 t (-.f64 z x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (-.f64 z x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 t (-.f64 z x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 t (-.f64 z x)))) 3))
(*.f64 (pow.f64 (pow.f64 (/.f64 t (-.f64 z x)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 t (-.f64 z x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 t (-.f64 z x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 t (-.f64 z x)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 t (-.f64 z x)) 2) t) 1/3) (pow.f64 (/.f64 1 (-.f64 z x)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 t (-.f64 z x)) (cbrt.f64 (/.f64 t (-.f64 z x)))) 2) 1/3) (pow.f64 (cbrt.f64 (/.f64 t (-.f64 z x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (/.f64 t (-.f64 z x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (/.f64 t (-.f64 z x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 t (-.f64 z x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 t (-.f64 z x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 t (-.f64 z x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 t (-.f64 z x)))) 2))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 z x) t)) (cbrt.f64 (/.f64 (-.f64 z x) t))) -1) (cbrt.f64 (/.f64 t (-.f64 z x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 t) -2) -1) (pow.f64 (/.f64 (-.f64 z x) (cbrt.f64 t)) -1))
(*.f64 (pow.f64 (pow.f64 t -1/2) -1) (pow.f64 (/.f64 (-.f64 z x) (sqrt.f64 t)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 z x)) t) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) (pow.f64 (cbrt.f64 t) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 t)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) (sqrt.f64 t)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 z x)) (sqrt.f64 t)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 z x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 z x)) t) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 z x)) (pow.f64 (cbrt.f64 t) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 z x)) (cbrt.f64 t)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 z x)) (sqrt.f64 t)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 z x)) (sqrt.f64 t)) -1))
(pow.f64 (/.f64 t (-.f64 z x)) 1)
(pow.f64 (cbrt.f64 (/.f64 t (-.f64 z x))) 3)
(pow.f64 (pow.f64 (/.f64 t (-.f64 z x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 t (-.f64 z x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 t (-.f64 z x))) 2)
(pow.f64 (/.f64 (-.f64 z x) t) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 z x) t) 1) -1)
(neg.f64 (/.f64 t (neg.f64 (-.f64 z x))))
(sqrt.f64 (pow.f64 (/.f64 t (-.f64 z x)) 2))
(log.f64 (exp.f64 (/.f64 t (-.f64 z x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 t (-.f64 z x)))))
(cbrt.f64 (pow.f64 (/.f64 t (-.f64 z x)) 3))
(cbrt.f64 (/.f64 (pow.f64 t 3) (pow.f64 (-.f64 z x) 3)))
(expm1.f64 (log1p.f64 (/.f64 t (-.f64 z x))))
(exp.f64 (log.f64 (/.f64 t (-.f64 z x))))
(exp.f64 (*.f64 (log.f64 (/.f64 t (-.f64 z x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 t (-.f64 z x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 t (-.f64 z x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 t (-.f64 z x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 t (-.f64 z x)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 z x) t)) -1))
(log1p.f64 (expm1.f64 (/.f64 t (-.f64 z x))))
Outputs
(*.f64 -1 (/.f64 t x))
(/.f64 (neg.f64 t) x)
(+.f64 (*.f64 -1 (/.f64 t x)) (*.f64 -1 (/.f64 (*.f64 t z) (pow.f64 x 2))))
(*.f64 -1 (+.f64 (/.f64 t x) (/.f64 t (/.f64 (pow.f64 x 2) z))))
(-.f64 (/.f64 (neg.f64 t) x) (*.f64 (/.f64 t (pow.f64 x 2)) z))
(*.f64 (/.f64 t x) (-.f64 -1 (/.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 t x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 t z) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 t (pow.f64 z 2)) (pow.f64 x 3)))))
(fma.f64 -1 (/.f64 t x) (fma.f64 -1 (/.f64 t (/.f64 (pow.f64 x 2) z)) (neg.f64 (/.f64 t (/.f64 (pow.f64 x 3) (pow.f64 z 2))))))
(-.f64 (-.f64 (/.f64 (neg.f64 t) (/.f64 (pow.f64 x 2) z)) (/.f64 t (/.f64 (pow.f64 x 3) (pow.f64 z 2)))) (/.f64 t x))
(-.f64 (/.f64 (neg.f64 t) x) (*.f64 (/.f64 t (pow.f64 x 2)) (+.f64 z (/.f64 (pow.f64 z 2) x))))
(+.f64 (*.f64 -1 (/.f64 t x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 t z) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 t (pow.f64 z 2)) (pow.f64 x 3))) (*.f64 -1 (/.f64 (*.f64 t (pow.f64 z 3)) (pow.f64 x 4))))))
(fma.f64 -1 (/.f64 t x) (fma.f64 -1 (/.f64 t (/.f64 (pow.f64 x 2) z)) (*.f64 -1 (+.f64 (/.f64 t (/.f64 (pow.f64 x 3) (pow.f64 z 2))) (/.f64 t (/.f64 (pow.f64 x 4) (pow.f64 z 3)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 t) (/.f64 (pow.f64 x 2) z)) (/.f64 t (/.f64 (pow.f64 x 3) (pow.f64 z 2)))) (*.f64 (/.f64 t (pow.f64 x 4)) (pow.f64 z 3))) (/.f64 t x))
(-.f64 (*.f64 (/.f64 t x) (-.f64 -1 (/.f64 z x))) (fma.f64 (/.f64 t (pow.f64 x 4)) (pow.f64 z 3) (*.f64 (/.f64 t (pow.f64 x 3)) (pow.f64 z 2))))
(/.f64 t z)
(+.f64 (/.f64 t z) (/.f64 (*.f64 t x) (pow.f64 z 2)))
(+.f64 (/.f64 t z) (/.f64 t (/.f64 (pow.f64 z 2) x)))
(*.f64 (+.f64 (/.f64 x z) 1) (/.f64 t z))
(+.f64 (/.f64 t z) (+.f64 (/.f64 (*.f64 t x) (pow.f64 z 2)) (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 z 3))))
(+.f64 (/.f64 t z) (+.f64 (/.f64 t (/.f64 (pow.f64 z 2) x)) (/.f64 t (/.f64 (pow.f64 z 3) (pow.f64 x 2)))))
(+.f64 (/.f64 t z) (+.f64 (/.f64 (*.f64 t x) (pow.f64 z 2)) (*.f64 (/.f64 t (pow.f64 z 3)) (pow.f64 x 2))))
(+.f64 (/.f64 t z) (*.f64 (/.f64 t (pow.f64 z 2)) (+.f64 x (/.f64 (pow.f64 x 2) z))))
(+.f64 (/.f64 t z) (+.f64 (/.f64 (*.f64 t x) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 z 3)) (/.f64 (*.f64 t (pow.f64 x 3)) (pow.f64 z 4)))))
(+.f64 (/.f64 t z) (+.f64 (/.f64 t (/.f64 (pow.f64 z 2) x)) (+.f64 (/.f64 t (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (/.f64 (*.f64 t (pow.f64 x 3)) (pow.f64 z 4)))))
(+.f64 (/.f64 t z) (+.f64 (*.f64 (/.f64 t (pow.f64 z 3)) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 t x) (pow.f64 z 2)) (/.f64 (*.f64 t (pow.f64 x 3)) (pow.f64 z 4)))))
(+.f64 (*.f64 (/.f64 t (pow.f64 z 2)) (+.f64 x (/.f64 (pow.f64 x 2) z))) (fma.f64 (/.f64 t (pow.f64 z 4)) (pow.f64 x 3) (/.f64 t z)))
(/.f64 t z)
(+.f64 (/.f64 t z) (/.f64 (*.f64 t x) (pow.f64 z 2)))
(+.f64 (/.f64 t z) (/.f64 t (/.f64 (pow.f64 z 2) x)))
(*.f64 (+.f64 (/.f64 x z) 1) (/.f64 t z))
(+.f64 (/.f64 t z) (+.f64 (/.f64 (*.f64 t x) (pow.f64 z 2)) (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 z 3))))
(+.f64 (/.f64 t z) (+.f64 (/.f64 t (/.f64 (pow.f64 z 2) x)) (/.f64 t (/.f64 (pow.f64 z 3) (pow.f64 x 2)))))
(+.f64 (/.f64 t z) (+.f64 (/.f64 (*.f64 t x) (pow.f64 z 2)) (*.f64 (/.f64 t (pow.f64 z 3)) (pow.f64 x 2))))
(+.f64 (/.f64 t z) (*.f64 (/.f64 t (pow.f64 z 2)) (+.f64 x (/.f64 (pow.f64 x 2) z))))
(+.f64 (/.f64 t z) (+.f64 (/.f64 (*.f64 t x) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 z 3)) (/.f64 (*.f64 t (pow.f64 x 3)) (pow.f64 z 4)))))
(+.f64 (/.f64 t z) (+.f64 (/.f64 t (/.f64 (pow.f64 z 2) x)) (+.f64 (/.f64 t (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (/.f64 (*.f64 t (pow.f64 x 3)) (pow.f64 z 4)))))
(+.f64 (/.f64 t z) (+.f64 (*.f64 (/.f64 t (pow.f64 z 3)) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 t x) (pow.f64 z 2)) (/.f64 (*.f64 t (pow.f64 x 3)) (pow.f64 z 4)))))
(+.f64 (*.f64 (/.f64 t (pow.f64 z 2)) (+.f64 x (/.f64 (pow.f64 x 2) z))) (fma.f64 (/.f64 t (pow.f64 z 4)) (pow.f64 x 3) (/.f64 t z)))
(/.f64 t z)
(+.f64 (/.f64 t z) (/.f64 (*.f64 t x) (pow.f64 z 2)))
(+.f64 (/.f64 t z) (/.f64 t (/.f64 (pow.f64 z 2) x)))
(*.f64 (+.f64 (/.f64 x z) 1) (/.f64 t z))
(+.f64 (/.f64 t z) (+.f64 (/.f64 (*.f64 t x) (pow.f64 z 2)) (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 z 3))))
(+.f64 (/.f64 t z) (+.f64 (/.f64 t (/.f64 (pow.f64 z 2) x)) (/.f64 t (/.f64 (pow.f64 z 3) (pow.f64 x 2)))))
(+.f64 (/.f64 t z) (+.f64 (/.f64 (*.f64 t x) (pow.f64 z 2)) (*.f64 (/.f64 t (pow.f64 z 3)) (pow.f64 x 2))))
(+.f64 (/.f64 t z) (*.f64 (/.f64 t (pow.f64 z 2)) (+.f64 x (/.f64 (pow.f64 x 2) z))))
(+.f64 (/.f64 t z) (+.f64 (/.f64 (*.f64 t x) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 z 3)) (/.f64 (*.f64 t (pow.f64 x 3)) (pow.f64 z 4)))))
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(/.f64 (/.f64 t (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 z x)) (pow.f64 (cbrt.f64 t) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 z x)) (cbrt.f64 t)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (sqrt.f64 (-.f64 z x))) (/.f64 (cbrt.f64 t) (sqrt.f64 (-.f64 z x))))
(/.f64 (/.f64 t (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 z x)) (sqrt.f64 t)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 z x)) (sqrt.f64 t)) -1))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 z x)) (sqrt.f64 t)) -2)
(pow.f64 (/.f64 t (-.f64 z x)) 1)
(/.f64 t (-.f64 z x))
(pow.f64 (cbrt.f64 (/.f64 t (-.f64 z x))) 3)
(/.f64 t (-.f64 z x))
(pow.f64 (pow.f64 (/.f64 t (-.f64 z x)) 2) 1/2)
(/.f64 t (-.f64 z x))
(pow.f64 (pow.f64 (/.f64 t (-.f64 z x)) 3) 1/3)
(/.f64 t (-.f64 z x))
(pow.f64 (sqrt.f64 (/.f64 t (-.f64 z x))) 2)
(/.f64 t (-.f64 z x))
(pow.f64 (/.f64 (-.f64 z x) t) -1)
(/.f64 t (-.f64 z x))
(pow.f64 (/.f64 (/.f64 (-.f64 z x) t) 1) -1)
(/.f64 t (-.f64 z x))
(neg.f64 (/.f64 t (neg.f64 (-.f64 z x))))
(/.f64 t (-.f64 z x))
(sqrt.f64 (pow.f64 (/.f64 t (-.f64 z x)) 2))
(/.f64 t (-.f64 z x))
(log.f64 (exp.f64 (/.f64 t (-.f64 z x))))
(/.f64 t (-.f64 z x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 t (-.f64 z x)))))
(/.f64 t (-.f64 z x))
(cbrt.f64 (pow.f64 (/.f64 t (-.f64 z x)) 3))
(/.f64 t (-.f64 z x))
(cbrt.f64 (/.f64 (pow.f64 t 3) (pow.f64 (-.f64 z x) 3)))
(/.f64 t (-.f64 z x))
(expm1.f64 (log1p.f64 (/.f64 t (-.f64 z x))))
(/.f64 t (-.f64 z x))
(exp.f64 (log.f64 (/.f64 t (-.f64 z x))))
(/.f64 t (-.f64 z x))
(exp.f64 (*.f64 (log.f64 (/.f64 t (-.f64 z x))) 1))
(/.f64 t (-.f64 z x))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 t (-.f64 z x))) 1) 1))
(/.f64 t (-.f64 z x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 t (-.f64 z x)))) 3))
(/.f64 t (-.f64 z x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 t (-.f64 z x)))) 1/3))
(/.f64 t (-.f64 z x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 t (-.f64 z x)))) 2))
(/.f64 t (-.f64 z x))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 z x) t)) -1))
(/.f64 t (-.f64 z x))
(log1p.f64 (expm1.f64 (/.f64 t (-.f64 z x))))
(/.f64 t (-.f64 z x))

eval74.0ms (1.7%)

Compiler

Compiled 2601 to 1149 computations (55.8% saved)

prune87.0ms (2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1295134
Fresh000
Picked123
Done000
Total1307137
Accuracy
100.0%
Counts
137 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓92.9%
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
▶95.4%
(+.f64 x (/.f64 y (pow.f64 (/.f64 (-.f64 z x) t) -1)))
▶61.6%
(+.f64 x (/.f64 y (/.f64 (neg.f64 t) x)))
▶78.3%
(+.f64 x (/.f64 y (/.f64 t z)))
▶57.9%
(+.f64 x (/.f64 y (*.f64 (/.f64 t x) (-.f64 -1 (/.f64 z x)))))
▶95.6%
(+.f64 x (/.f64 y (*.f64 (/.f64 1 (-.f64 z x)) t)))
✓96.5%
(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
Compiler

Compiled 166 to 108 computations (34.9% saved)

localize1.3s (28.6%)

Compiler

Compiled 176 to 56 computations (68.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 816.0ms
Operation ival-div, time spent: 259.0ms, 32.0% of total-time
Operation ival-add, time spent: 186.0ms, 23.0% of total-time
Operation ival-sub, time spent: 164.0ms, 20.0% of total-time
Operation ival-pow, time spent: 109.0ms, 13.0% of total-time
Operation ival-mult, time spent: 71.0ms, 9.0% of total-time
Operation const, time spent: 18.0ms, 2.0% of total-time
Operation ival-neg, time spent: 9.0ms, 1.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 4 to 4 computations (0% saved)

prune5.0ms (0.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New000
Fresh000
Picked055
Done022
Total077
Accuracy
100.0%
Counts
7 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓92.9%
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
✓95.4%
(+.f64 x (/.f64 y (pow.f64 (/.f64 (-.f64 z x) t) -1)))
✓61.6%
(+.f64 x (/.f64 y (/.f64 (neg.f64 t) x)))
✓78.3%
(+.f64 x (/.f64 y (/.f64 t z)))
✓57.9%
(+.f64 x (/.f64 y (*.f64 (/.f64 t x) (-.f64 -1 (/.f64 z x)))))
✓95.6%
(+.f64 x (/.f64 y (*.f64 (/.f64 1 (-.f64 z x)) t)))
✓96.5%
(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
Compiler

Compiled 177 to 100 computations (43.5% saved)

regimes51.0ms (1.1%)

Counts
8 → 1
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (/.f64 t z)))
(+.f64 x (/.f64 y (/.f64 (neg.f64 t) x)))
(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
(+.f64 x (/.f64 y (*.f64 (/.f64 1 (-.f64 z x)) t)))
(+.f64 x (/.f64 y (*.f64 (/.f64 t x) (-.f64 -1 (/.f64 z x)))))
(+.f64 x (/.f64 y (pow.f64 (/.f64 (-.f64 z x) t) -1)))
Outputs
(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
Calls

5 calls:

17.0ms
x
13.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
9.0ms
t
6.0ms
y
6.0ms
z
Results
AccuracySegmentsBranch
99.5%3x
96.5%1y
96.5%1z
96.5%1t
98.7%3(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes28.0ms (0.6%)

Counts
2 → 3
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (/.f64 t z)))
(+.f64 x (/.f64 y (/.f64 (neg.f64 t) x)))
Outputs
(+.f64 x (/.f64 y (/.f64 (neg.f64 t) x)))
(+.f64 x (/.f64 y (/.f64 t z)))
(+.f64 x (/.f64 y (/.f64 (neg.f64 t) x)))
Calls

4 calls:

11.0ms
z
10.0ms
x
3.0ms
t
3.0ms
y
Results
AccuracySegmentsBranch
87.5%3x
78.3%1y
85.2%3z
78.3%1t
Compiler

Compiled 20 to 16 computations (20% saved)

regimes8.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

3.0ms
x
3.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
78.3%1y
78.3%1z
78.3%1x
Compiler

Compiled 15 to 12 computations (20% saved)

bsearch46.0ms (1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
7.657473000363108e+24
7.662496889343791e+30
23.0ms
-1.819325870453256e+120
-1.2188245561447339e+114
Results
30.0ms211×0valid
11.0ms76×0infinite
0.0ms1×0valid
Compiler

Compiled 470 to 320 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
Operation ival-sub, time spent: 5.0ms, 33.0% of total-time
Operation ival-add, time spent: 5.0ms, 33.0% of total-time
Operation ival-mult, time spent: 3.0ms, 20.0% of total-time
Operation ival-div, time spent: 2.0ms, 13.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
14×+-commutative
8×sub-neg
8×*-commutative
6×neg-mul-1
6×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032168
149168
256168
361168
463168
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
(if (<=.f64 x -1549999999999999875384045715428795830285560721229392377707623098929346683852970104183923408810760764699223697777491968) (+.f64 x (/.f64 y (/.f64 (neg.f64 t) x))) (if (<=.f64 x 78000000000000004060086272) (+.f64 x (/.f64 y (/.f64 t z))) (+.f64 x (/.f64 y (/.f64 (neg.f64 t) x)))))
(+.f64 x (/.f64 y (/.f64 t z)))
Outputs
(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
(if (<=.f64 x -1549999999999999875384045715428795830285560721229392377707623098929346683852970104183923408810760764699223697777491968) (+.f64 x (/.f64 y (/.f64 (neg.f64 t) x))) (if (<=.f64 x 78000000000000004060086272) (+.f64 x (/.f64 y (/.f64 t z))) (+.f64 x (/.f64 y (/.f64 (neg.f64 t) x)))))
(if (or (<=.f64 x -1549999999999999875384045715428795830285560721229392377707623098929346683852970104183923408810760764699223697777491968) (not (<=.f64 x 78000000000000004060086272))) (+.f64 x (/.f64 y (/.f64 (neg.f64 t) x))) (+.f64 x (/.f64 y (/.f64 t z))))
(+.f64 x (/.f64 y (/.f64 t z)))
Compiler

Compiled 52 to 33 computations (36.5% saved)

soundness318.0ms (7.2%)

Rules
1456×div-sub
1456×div-sub
1198×fma-def
1154×associate-*r/
1038×associate-*l/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060688
1138672
2365608
31280600
45050600
060688
1138672
2365608
31280600
45050600
02944781
17574597
226524264
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 74 to 40 computations (45.9% saved)

end0.0ms (0%)

preprocess49.0ms (1.1%)

Compiler

Compiled 150 to 80 computations (46.7% saved)

Profiling

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