Details

Time bar (total: 5.6s)

analyze8.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample2.6s (45.6%)

Results
1.1s2035×body1024valid
732.0ms4477×body128valid
431.0ms1036×body512valid
143.0ms498×body256valid
141.0ms210×body2048valid
Compiler

Compiled 30 to 22 computations (26.7% saved)

preprocess61.0ms (1.1%)

Algorithm
2×egg-herbie
Rules
731×rules-20_binary64
270×rules-21_binary64
191×rules-6-rev_binary64
176×rules-5-rev_binary64
149×rules-4-rev_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
12019
24619
315219
471719
5426819
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Outputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify52.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
731×rules-20_binary64
270×rules-21_binary64
191×rules-6-rev_binary64
176×rules-5-rev_binary64
149×rules-4-rev_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
12019
24619
315219
471719
5426819
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Outputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1)))

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
27.4b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶27.4b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 55 to 39 computations (29.1% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x 1) (-.f64 x 1))
✓0.0b
(/.f64 x (+.f64 x 1))
✓1.3b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))

series13.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@0
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
2.0ms
x
@-inf
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
2.0ms
x
@inf
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
1.0ms
x
@-inf
(/.f64 (+.f64 x 1) (-.f64 x 1))
1.0ms
x
@0
(/.f64 x (+.f64 x 1))

rewrite99.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
402×rules-20_binary64
197×rules-34-rev_binary64
194×rules-15-rev_binary64
182×rules-21_binary64
92×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
119836
2288436
Stop Event
1×node limit
Counts
3 → 165
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(/.f64 x (+.f64 x 1))
(/.f64 (+.f64 x 1) (-.f64 x 1))
Outputs
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simplify43.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
362×rules-13_binary64
345×fma-def_binary64
243×rules-14-rev_binary64
238×rules-21_binary64
199×rules-20_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064475
1259452
21166387
Stop Event
1×node limit
Counts
201 → 204
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 3 x))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x)))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3)))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
x
(-.f64 x (pow.f64 x 2))
(-.f64 (+.f64 (pow.f64 x 3) x) (pow.f64 x 2))
(-.f64 (+.f64 (pow.f64 x 3) x) (+.f64 (pow.f64 x 4) (pow.f64 x 2)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 2 x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
Outputs
1
(+.f64 1 (*.f64 3 x))
(fma.f64 3 x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x)))
(+.f64 1 (+.f64 (*.f64 3 x) (*.f64 x x)))
(fma.f64 x x (fma.f64 3 x 1))
(fma.f64 x (+.f64 3 x) 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3)))))
(+.f64 (*.f64 3 (+.f64 x (pow.f64 x 3))) (+.f64 1 (*.f64 x x)))
(fma.f64 x x (fma.f64 3 (+.f64 x (pow.f64 x 3)) 1))
(fma.f64 3 (pow.f64 x 3) (fma.f64 x (+.f64 3 x) 1))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x))))
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 (/.f64 1 x) x)))
(neg.f64 (/.f64 (+.f64 3 (/.f64 1 x)) x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (/.f64 (/.f64 1 x) x)) (/.f64 3 (pow.f64 x 3))))
(neg.f64 (fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 3 x) (/.f64 3 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 3 x) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))))
(-.f64 (neg.f64 (+.f64 (+.f64 (/.f64 3 x) (/.f64 (/.f64 1 x) x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (neg.f64 (/.f64 3 x)) (fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 3 x) (/.f64 1 (pow.f64 x 4))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x))))
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 (/.f64 1 x) x)))
(neg.f64 (/.f64 (+.f64 3 (/.f64 1 x)) x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (/.f64 (/.f64 1 x) x)) (/.f64 3 (pow.f64 x 3))))
(neg.f64 (fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 3 x) (/.f64 3 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 3 x) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))))
(-.f64 (neg.f64 (+.f64 (+.f64 (/.f64 3 x) (/.f64 (/.f64 1 x) x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (neg.f64 (/.f64 3 x)) (fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 3 x) (/.f64 1 (pow.f64 x 4))))
x
(-.f64 x (pow.f64 x 2))
(-.f64 x (*.f64 x x))
(-.f64 (+.f64 (pow.f64 x 3) x) (pow.f64 x 2))
(-.f64 x (-.f64 (*.f64 x x) (pow.f64 x 3)))
(+.f64 (pow.f64 x 3) (-.f64 x (*.f64 x x)))
(*.f64 x (-.f64 (fma.f64 x x 1) x))
(-.f64 (+.f64 (pow.f64 x 3) x) (+.f64 (pow.f64 x 4) (pow.f64 x 2)))
(-.f64 x (-.f64 (+.f64 (*.f64 x x) (pow.f64 x 4)) (pow.f64 x 3)))
(+.f64 (pow.f64 x 3) (-.f64 x (fma.f64 x x (pow.f64 x 4))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 x) 1))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x)))
(+.f64 1 (/.f64 (+.f64 (/.f64 1 x) -1) x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 (/.f64 1 x) x) (+.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (/.f64 (-.f64 1 (+.f64 x (/.f64 1 x))) (*.f64 x x)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 x) 1))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x)))
(+.f64 1 (/.f64 (+.f64 (/.f64 1 x) -1) x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 (/.f64 1 x) x) (+.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (/.f64 (-.f64 1 (+.f64 x (/.f64 1 x))) (*.f64 x x)))
-1
(neg.f64 (+.f64 1 (*.f64 2 x)))
(neg.f64 (+.f64 1 (*.f64 x 2)))
(-.f64 -1 (*.f64 x 2))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))))
(neg.f64 (+.f64 1 (*.f64 2 (+.f64 (*.f64 x x) x))))
(neg.f64 (fma.f64 2 (fma.f64 x x x) 1))
(*.f64 2 (-.f64 -1/2 (fma.f64 x x x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))))
(neg.f64 (+.f64 1 (fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 x (pow.f64 x 3))))))
(-.f64 -1 (*.f64 2 (+.f64 (pow.f64 x 3) (fma.f64 x x x))))
(-.f64 -1 (*.f64 2 (+.f64 (*.f64 x (fma.f64 x x x)) x)))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (/.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 1 (/.f64 (+.f64 2 (/.f64 2 x)) x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(/.f64 (+.f64 (+.f64 x 2) (/.f64 (+.f64 2 (/.f64 2 x)) x)) x)
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (/.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 1 (/.f64 (+.f64 2 (/.f64 2 x)) x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(/.f64 (+.f64 (+.f64 x 2) (/.f64 (+.f64 2 (/.f64 2 x)) x)) x)

prune310.0ms (5.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2013204
Fresh000
Picked101
Done000
Total2023205
Error
0.1b
Counts
205 → 3
Alt Table
StatusErrorProgram
▶27.4b
(/.f64 (-.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (+.f64 x 1))
34.0b
(-.f64 (neg.f64 (/.f64 3 x)) (fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 3 x) (/.f64 1 (pow.f64 x 4))))
45.7b
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (*.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (pow.f64 (/.f64 x (+.f64 x 1)) 2))
Compiler

Compiled 4382 to 3252 computations (25.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x 1) (+.f64 x -1))
✓0.0b
(*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))
✓0.0b
(/.f64 (-.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (+.f64 x 1))
✓1.2b
(-.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))

series15.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 (-.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (+.f64 x 1))
2.0ms
x
@inf
(/.f64 (-.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (+.f64 x 1))
1.0ms
x
@-inf
(-.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))
1.0ms
x
@inf
(-.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))
1.0ms
x
@0
(-.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))

rewrite105.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
486×rules-20_binary64
236×rules-34-rev_binary64
198×rules-21_binary64
109×rules-24_binary64
107×rules-22_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01070
124258
2331058
Stop Event
1×node limit
Counts
4 → 201
Calls
Call 1
Inputs
(-.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))
(/.f64 (-.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (+.f64 x 1))
(*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))
(/.f64 (+.f64 x 1) (+.f64 x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1))) (fma.f64 (neg.f64 (/.f64 (+.f64 x 1) (+.f64 x 1))) (+.f64 x 1) (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1))) (fma.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x 1)) (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1)) (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 (pow.f64 (+.f64 x 1) 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((x *.f64 (cbrt.f64 (+.f64 x (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 x (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))) (-.f64 (/.f64 x (/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))) (fabs.f64 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1)))) (sqrt.f64 (+.f64 x (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (+.f64 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(+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))) (fabs.f64 (/.f64 1 (/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)) (fma.f64 x x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (fma.f64 x x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (fabs.f64 (*.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)) (fma.f64 x x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (fabs.f64 (/.f64 (fma.f64 x x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)) (+.f64 1 (pow.f64 x 3)))) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)) (+.f64 x 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1))) 2) (cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x 1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (+.f64 x 1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x 1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (fabs.f64 (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x 1))) 2) (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (cbrt.f64 (+.f64 x 1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fabs.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 1 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x (+.f64 x 1)) (fabs.f64 (/.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (+.f64 x 1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (/.f64 (+.f64 x 1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x 1))) 2) (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (+.f64 x 1))))))))

simplify65.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
664×rules-13_binary64
409×rules-14-rev_binary64
381×rules-21_binary64
293×rules-20_binary64
221×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
089605
1389556
21671553
Stop Event
1×node limit
Counts
249 → 254
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 4 x))
(+.f64 1 (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 4 x)))
(+.f64 1 (+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (*.f64 4 x) (*.f64 4 (pow.f64 x 3)))))
-3
(neg.f64 (+.f64 3 (*.f64 4 (/.f64 1 x))))
(neg.f64 (+.f64 3 (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 3 (+.f64 (*.f64 4 (/.f64 1 x)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
-3
(neg.f64 (+.f64 3 (*.f64 4 (/.f64 1 x))))
(neg.f64 (+.f64 3 (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 3 (+.f64 (*.f64 4 (/.f64 1 x)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 3 x))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x)))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3)))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
-1
(neg.f64 (+.f64 1 (*.f64 3 x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 3 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (*.f64 3 x) (*.f64 4 (pow.f64 x 3))))))
x
(+.f64 3 x)
(+.f64 3 (+.f64 (*.f64 4 (/.f64 1 x)) x))
(+.f64 3 (+.f64 (*.f64 4 (/.f64 1 x)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) x)))
x
(+.f64 3 x)
(+.f64 3 (+.f64 (*.f64 4 (/.f64 1 x)) x))
(+.f64 3 (+.f64 (*.f64 4 (/.f64 1 x)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) x)))
-1
(neg.f64 (+.f64 1 (*.f64 2 x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
Outputs
1
(+.f64 1 (*.f64 4 x))
(fma.f64 4 x 1)
(+.f64 1 (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 4 x)))
(+.f64 1 (*.f64 4 (+.f64 (*.f64 x x) x)))
(fma.f64 4 (fma.f64 x x x) 1)
(+.f64 1 (+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (*.f64 4 x) (*.f64 4 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 4 (*.f64 x x) (*.f64 4 (+.f64 x (pow.f64 x 3)))))
(+.f64 1 (*.f64 4 (+.f64 (pow.f64 x 3) (fma.f64 x x x))))
-3
(neg.f64 (+.f64 3 (*.f64 4 (/.f64 1 x))))
(neg.f64 (+.f64 3 (/.f64 4 x)))
(-.f64 -3 (/.f64 4 x))
(neg.f64 (+.f64 3 (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 4 x) (+.f64 (/.f64 4 (*.f64 x x)) 3)))
(-.f64 -3 (+.f64 (/.f64 4 x) (/.f64 4 (*.f64 x x))))
(neg.f64 (+.f64 3 (+.f64 (*.f64 4 (/.f64 1 x)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 4 (pow.f64 x 3))) (+.f64 3 (/.f64 4 x))))
(-.f64 -3 (+.f64 (/.f64 4 x) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 4 (pow.f64 x 3)))))
(-.f64 -3 (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 4 x) (/.f64 4 (pow.f64 x 3)))))
-3
(neg.f64 (+.f64 3 (*.f64 4 (/.f64 1 x))))
(neg.f64 (+.f64 3 (/.f64 4 x)))
(-.f64 -3 (/.f64 4 x))
(neg.f64 (+.f64 3 (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 4 x) (+.f64 (/.f64 4 (*.f64 x x)) 3)))
(-.f64 -3 (+.f64 (/.f64 4 x) (/.f64 4 (*.f64 x x))))
(neg.f64 (+.f64 3 (+.f64 (*.f64 4 (/.f64 1 x)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 4 (pow.f64 x 3))) (+.f64 3 (/.f64 4 x))))
(-.f64 -3 (+.f64 (/.f64 4 x) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 4 (pow.f64 x 3)))))
(-.f64 -3 (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 4 x) (/.f64 4 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 3 x))
(+.f64 1 (*.f64 x 3))
(fma.f64 x 3 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x)))
(+.f64 1 (+.f64 (*.f64 x x) (*.f64 x 3)))
(fma.f64 x x (fma.f64 x 3 1))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3)))))
(+.f64 (*.f64 3 (+.f64 x (pow.f64 x 3))) (+.f64 1 (*.f64 x x)))
(fma.f64 x x (fma.f64 3 (+.f64 x (pow.f64 x 3)) 1))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(-.f64 (neg.f64 (/.f64 3 x)) (/.f64 1 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))
(-.f64 (neg.f64 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3)))))
(-.f64 (neg.f64 (/.f64 3 x)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(-.f64 (neg.f64 (/.f64 3 x)) (/.f64 1 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))
(-.f64 (neg.f64 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3)))))
(-.f64 (neg.f64 (/.f64 3 x)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
-1
(neg.f64 (+.f64 1 (*.f64 3 x)))
(neg.f64 (+.f64 1 (*.f64 x 3)))
(-.f64 -1 (*.f64 x 3))
(*.f64 3 (-.f64 -1/3 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 3 x))))
(neg.f64 (+.f64 1 (fma.f64 4 (*.f64 x x) (*.f64 x 3))))
(-.f64 -1 (fma.f64 4 (*.f64 x x) (*.f64 x 3)))
(-.f64 -1 (*.f64 4 (*.f64 x (+.f64 3/4 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (*.f64 3 x) (*.f64 4 (pow.f64 x 3))))))
(neg.f64 (+.f64 1 (fma.f64 4 (*.f64 x x) (fma.f64 3 x (*.f64 4 (pow.f64 x 3))))))
(-.f64 -1 (fma.f64 x 3 (*.f64 4 (+.f64 (pow.f64 x 3) (*.f64 x x)))))
(-.f64 -1 (fma.f64 x 3 (*.f64 4 (*.f64 x (fma.f64 x x x)))))
x
(+.f64 3 x)
(+.f64 x 3)
(+.f64 3 (+.f64 (*.f64 4 (/.f64 1 x)) x))
(+.f64 (/.f64 4 x) (+.f64 x 3))
(+.f64 3 (+.f64 (*.f64 4 (/.f64 1 x)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) x)))
(+.f64 (+.f64 x (/.f64 4 (*.f64 x x))) (+.f64 3 (/.f64 4 x)))
(+.f64 x (+.f64 (/.f64 4 x) (+.f64 3 (/.f64 4 (*.f64 x x)))))
(+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 4 x) (+.f64 x 3)))
x
(+.f64 3 x)
(+.f64 x 3)
(+.f64 3 (+.f64 (*.f64 4 (/.f64 1 x)) x))
(+.f64 (/.f64 4 x) (+.f64 x 3))
(+.f64 3 (+.f64 (*.f64 4 (/.f64 1 x)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) x)))
(+.f64 (+.f64 x (/.f64 4 (*.f64 x x))) (+.f64 3 (/.f64 4 x)))
(+.f64 x (+.f64 (/.f64 4 x) (+.f64 3 (/.f64 4 (*.f64 x x)))))
(+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 4 x) (+.f64 x 3)))
-1
(neg.f64 (+.f64 1 (*.f64 2 x)))
(neg.f64 (+.f64 1 (*.f64 x 2)))
(neg.f64 (fma.f64 x 2 1))
(-.f64 -1 (*.f64 x 2))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))))
(neg.f64 (+.f64 1 (*.f64 2 (+.f64 (*.f64 x x) x))))
(-.f64 -1 (*.f64 2 (fma.f64 x x x)))
(*.f64 2 (-.f64 -1/2 (fma.f64 x x x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))))
(neg.f64 (+.f64 1 (fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 x (pow.f64 x 3))))))
(-.f64 -1 (*.f64 2 (+.f64 (pow.f64 x 3) (fma.f64 x x x))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (/.f64 2 x))
(/.f64 (+.f64 x 2) x)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 x)))
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 (+.f64 x 2) x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) (+.f64 1 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (/.f64 2 x))
(/.f64 (+.f64 x 2) x)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 x)))
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 (+.f64 x 2) x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) (+.f64 1 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))

prune304.0ms (5.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2540254
Fresh022
Picked011
Done000
Total2543257
Error
0.1b
Counts
257 → 3
Alt Table
StatusErrorProgram
✓27.4b
(/.f64 (-.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (+.f64 x 1))
▶34.0b
(-.f64 (neg.f64 (/.f64 3 x)) (fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 3 x) (/.f64 1 (pow.f64 x 4))))
45.7b
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (*.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (pow.f64 (/.f64 x (+.f64 x 1)) 2))
Compiler

Compiled 5580 to 4174 computations (25.2% saved)

localize22.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 1 (pow.f64 x 4))
✓0.4b
(/.f64 1 (pow.f64 x 3))
✓13.3b
(fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 3 x) (/.f64 1 (pow.f64 x 4)))

series16.0ms (0.3%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 1 (pow.f64 x 4))
2.0ms
x
@0
(fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 3 x) (/.f64 1 (pow.f64 x 4)))
2.0ms
x
@-inf
(fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 3 x) (/.f64 1 (pow.f64 x 4)))
2.0ms
x
@inf
(fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 3 x) (/.f64 1 (pow.f64 x 4)))
2.0ms
x
@0
(/.f64 1 (pow.f64 x 3))

rewrite87.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
400×rules-20_binary64
228×rules-34-rev_binary64
170×rules-21_binary64
108×add-sqr-sqrt_binary64
104×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
127322
2324822
Stop Event
1×node limit
Counts
3 → 158
Calls
Call 1
Inputs
(fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 3 x) (/.f64 1 (pow.f64 x 4)))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -4) (/.f64 (-.f64 x -3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x -3) (pow.f64 x 3)) (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x -4) (neg.f64 (/.f64 (-.f64 x -3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) (/.f64 (-.f64 x -3) (pow.f64 x 3)))) (neg.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) (/.f64 (-.f64 x -3) (pow.f64 x 3)))) (-.f64 (neg.f64 (pow.f64 x 4)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 x -3) (pow.f64 x 3)) (/.f64 1 (-.f64 1 (exp.f64 (log1p.f64 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -4) (+.f64 1 (/.f64 (/.f64 (-.f64 x -3) (pow.f64 x 3)) (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -4) (fabs.f64 (+.f64 1 (/.f64 (/.f64 (-.f64 x -3) (pow.f64 x 3)) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 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2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (pow.f64 x -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x -3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 1 (-.f64 1 (exp.f64 (log1p.f64 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 1 x) (-.f64 0 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (pow.f64 x -3/2) (-.f64 0 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (pow.f64 x -2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 1 (-.f64 (neg.f64 (pow.f64 x 3)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (pow.f64 x -2) (-.f64 (neg.f64 x) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (fabs.f64 (/.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -6)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3/2) (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -3) (pow.f64 (cbrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -3) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (pow.f64 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) -1) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 3/2) -1) (pow.f64 (pow.f64 x 3/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (sqrt.f64 x) -3)) (fabs.f64 (pow.f64 (sqrt.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (*.f64 x x) -1)) (fabs.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 x -1)) (fabs.f64 (pow.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (pow.f64 x 3/2) -1)) (fabs.f64 (pow.f64 (pow.f64 x 3/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -3)) (fabs.f64 (pow.f64 (cbrt.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -3) (fabs.f64 (pow.f64 (cbrt.f64 x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 (sqrt.f64 x) -3) (fabs.f64 (pow.f64 (sqrt.f64 x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 x -1) (fabs.f64 (pow.f64 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 (*.f64 x x) -1) (fabs.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 (pow.f64 x 3/2) -1) (fabs.f64 (pow.f64 (pow.f64 x 3/2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -3) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -6)) (/.f64 1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -3/2) (pow.f64 x -3/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (pow.f64 x -4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x -4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 1 (-.f64 1 (exp.f64 (log1p.f64 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 1 (neg.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (pow.f64 x -2) (-.f64 0 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8))) (-.f64 0 (cbrt.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 1 (-.f64 (neg.f64 (pow.f64 x 4)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -8)) (cbrt.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) -1) (pow.f64 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -4) (pow.f64 (cbrt.f64 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -4) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -4) (pow.f64 (sqrt.f64 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x 8)) -1) (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (cbrt.f64 (pow.f64 x 8)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (*.f64 x x) -1)) (fabs.f64 (pow.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (sqrt.f64 x) -4)) (fabs.f64 (pow.f64 (sqrt.f64 x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -4)) (fabs.f64 (pow.f64 (cbrt.f64 x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (cbrt.f64 (pow.f64 x 8)) -1)) (fabs.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -8))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 (*.f64 x x) -1) (fabs.f64 (pow.f64 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -4) (fabs.f64 (pow.f64 (cbrt.f64 x) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 (sqrt.f64 x) -4) (fabs.f64 (pow.f64 (sqrt.f64 x) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 8)) -1) (fabs.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -4) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -8)) (cbrt.f64 (pow.f64 x -4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -2) (pow.f64 x -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -4)))))))

simplify52.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
316×rules-6_binary64
313×rules-5-rev_binary64
280×rules-4-rev_binary64
203×rules-14-rev_binary64
202×rules-6-rev_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016219
149219
2169219
3653136
44592136
Stop Event
1×node limit
Counts
170 → 167
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 x 4))
(+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 1 (pow.f64 x 4))
(+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3)))
(/.f64 (fma.f64 x 3 1) (pow.f64 x 4))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(/.f64 (fma.f64 x (+.f64 x 3) 1) (pow.f64 x 4))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(/.f64 (fma.f64 x (+.f64 x 3) 1) (pow.f64 x 4))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(/.f64 (+.f64 x 3) (pow.f64 x 3))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(/.f64 (fma.f64 x (+.f64 x 3) 1) (pow.f64 x 4))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(/.f64 (fma.f64 x (+.f64 x 3) 1) (pow.f64 x 4))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(/.f64 (+.f64 x 3) (pow.f64 x 3))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(/.f64 (fma.f64 x (+.f64 x 3) 1) (pow.f64 x 4))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(/.f64 (fma.f64 x (+.f64 x 3) 1) (pow.f64 x 4))

prune261.0ms (4.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1661167
Fresh011
Picked011
Done011
Total1664170
Error
0.0b
Counts
170 → 4
Alt Table
StatusErrorProgram
✓27.4b
(/.f64 (-.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (+.f64 x 1))
▶34.1b
(-.f64 (neg.f64 (/.f64 3 x)) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4)))) -1))
✓34.0b
(-.f64 (neg.f64 (/.f64 3 x)) (fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 3 x) (/.f64 1 (pow.f64 x 4))))
45.7b
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (*.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (pow.f64 (/.f64 x (+.f64 x 1)) 2))
Compiler

Compiled 3851 to 2978 computations (22.7% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.7b
(exp.f64 (log1p.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4))))
✓0.9b
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4)))) -1)
✓13.3b
(fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4))
✓24.9b
(log1p.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4)))

series33.0ms (0.6%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
10.0ms
x
@0
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4)))) -1)
4.0ms
x
@inf
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4)))) -1)
3.0ms
x
@-inf
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4)))) -1)
3.0ms
x
@0
(exp.f64 (log1p.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4))))
2.0ms
x
@-inf
(fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4))

rewrite133.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
428×rules-20_binary64
247×rules-34-rev_binary64
196×rules-21_binary64
128×add-sqr-sqrt_binary64
123×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01262
129561
2367461
Stop Event
1×node limit
Counts
4 → 218
Calls
Call 1
Inputs
(log1p.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4)))
(fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4)))) -1)
(exp.f64 (log1p.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4))))
Outputs
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simplify69.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
244×fma-def_binary64
238×rules-13_binary64
208×rules-14-rev_binary64
192×fma-neg_binary64
186×rules-4_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057989
1197875
2922752
34714588
Stop Event
1×node limit
Counts
266 → 199
Calls
Call 1
Inputs
(*.f64 -4 (log.f64 x))
(-.f64 (*.f64 3 x) (*.f64 4 (log.f64 x)))
(-.f64 (*.f64 3 x) (+.f64 (*.f64 4 (log.f64 x)) (*.f64 7/2 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3 x) (*.f64 6 (pow.f64 x 3))) (+.f64 (*.f64 4 (log.f64 x)) (*.f64 7/2 (pow.f64 x 2))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) (*.f64 3 (/.f64 1 (pow.f64 x 5))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) (*.f64 3 (/.f64 1 (pow.f64 x 5))))
(/.f64 1 (pow.f64 x 4))
(+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) 1)
(-.f64 (+.f64 (*.f64 3 (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) x)) (exp.f64 (neg.f64 (*.f64 4 (log.f64 x))))) 1)
(-.f64 (+.f64 (*.f64 3 (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) x)) (+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) (pow.f64 x 2)) (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))))) 1)
(-.f64 (+.f64 (*.f64 3 (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) x)) (+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) (pow.f64 x 2)) (+.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) (pow.f64 x 4))))) 1)
(/.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(exp.f64 (neg.f64 (*.f64 4 (log.f64 x))))
(+.f64 (*.f64 3 (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) x)) (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))))
(+.f64 (*.f64 3 (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) x)) (+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) (pow.f64 x 2)) (exp.f64 (neg.f64 (*.f64 4 (log.f64 x))))))
(+.f64 (*.f64 3 (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) x)) (+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) (pow.f64 x 2)) (+.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) (pow.f64 x 4)))))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
Outputs
(*.f64 -4 (log.f64 x))
(-.f64 (*.f64 3 x) (*.f64 4 (log.f64 x)))
(-.f64 (*.f64 x 3) (*.f64 (log.f64 x) 4))
(fma.f64 x 3 (*.f64 -4 (log.f64 x)))
(-.f64 (*.f64 3 x) (+.f64 (*.f64 4 (log.f64 x)) (*.f64 7/2 (pow.f64 x 2))))
(-.f64 (*.f64 x 3) (fma.f64 4 (log.f64 x) (*.f64 7/2 (*.f64 x x))))
(-.f64 (*.f64 x 3) (fma.f64 (log.f64 x) 4 (*.f64 x (*.f64 x 7/2))))
(fma.f64 x 3 (*.f64 (fma.f64 (log.f64 x) 8/7 (*.f64 x x)) -7/2))
(-.f64 (+.f64 (*.f64 3 x) (*.f64 6 (pow.f64 x 3))) (+.f64 (*.f64 4 (log.f64 x)) (*.f64 7/2 (pow.f64 x 2))))
(-.f64 (fma.f64 3 x (*.f64 6 (pow.f64 x 3))) (fma.f64 4 (log.f64 x) (*.f64 7/2 (*.f64 x x))))
(-.f64 (fma.f64 x 3 (*.f64 6 (pow.f64 x 3))) (fma.f64 (log.f64 x) 4 (*.f64 x (*.f64 x 7/2))))
(fma.f64 6 (pow.f64 x 3) (fma.f64 x 3 (*.f64 (fma.f64 (log.f64 x) 8/7 (*.f64 x x)) -7/2)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(/.f64 x (pow.f64 x 3))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))
(/.f64 (+.f64 x 3) (pow.f64 x 3))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1/2 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 1/2 (pow.f64 x -4) (/.f64 3 (pow.f64 x 3))))
(*.f64 (pow.f64 x -4) (+.f64 1/2 (*.f64 x (+.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) (*.f64 3 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (-.f64 (/.f64 3 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1/2 (pow.f64 x 4)))) (/.f64 3 (pow.f64 x 5)))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (fma.f64 1/2 (pow.f64 x -4) (/.f64 3 (pow.f64 x 3))) (/.f64 3 (pow.f64 x 5))))
(fma.f64 (pow.f64 x -4) (+.f64 1/2 (*.f64 x (+.f64 x 3))) (neg.f64 (/.f64 3 (pow.f64 x 5))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(/.f64 x (pow.f64 x 3))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))
(/.f64 (+.f64 x 3) (pow.f64 x 3))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1/2 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 1/2 (pow.f64 x -4) (/.f64 3 (pow.f64 x 3))))
(*.f64 (pow.f64 x -4) (+.f64 1/2 (*.f64 x (+.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) (*.f64 3 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (-.f64 (/.f64 3 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1/2 (pow.f64 x 4)))) (/.f64 3 (pow.f64 x 5)))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (fma.f64 1/2 (pow.f64 x -4) (/.f64 3 (pow.f64 x 3))) (/.f64 3 (pow.f64 x 5))))
(fma.f64 (pow.f64 x -4) (+.f64 1/2 (*.f64 x (+.f64 x 3))) (neg.f64 (/.f64 3 (pow.f64 x 5))))
(/.f64 1 (pow.f64 x 4))
(pow.f64 x -4)
(+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 3 (pow.f64 x 3)) (pow.f64 x -4))
(*.f64 (pow.f64 x -4) (fma.f64 x 3 1))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 3)) (pow.f64 x -4)))
(*.f64 (pow.f64 x -4) (fma.f64 x 3 (fma.f64 x x 1)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 3)) (pow.f64 x -4)))
(*.f64 (pow.f64 x -4) (fma.f64 x 3 (fma.f64 x x 1)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(/.f64 x (pow.f64 x 3))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))
(/.f64 (+.f64 x 3) (pow.f64 x 3))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 3)) (pow.f64 x -4)))
(*.f64 (pow.f64 x -4) (fma.f64 x 3 (fma.f64 x x 1)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 3)) (pow.f64 x -4)))
(*.f64 (pow.f64 x -4) (fma.f64 x 3 (fma.f64 x x 1)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(/.f64 x (pow.f64 x 3))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))
(/.f64 (+.f64 x 3) (pow.f64 x 3))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 3)) (pow.f64 x -4)))
(*.f64 (pow.f64 x -4) (fma.f64 x 3 (fma.f64 x x 1)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 3)) (pow.f64 x -4)))
(*.f64 (pow.f64 x -4) (fma.f64 x 3 (fma.f64 x x 1)))
(-.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) 1)
(expm1.f64 (neg.f64 (*.f64 (log.f64 x) 4)))
(expm1.f64 (*.f64 -4 (log.f64 x)))
(+.f64 (pow.f64 x -4) -1)
(-.f64 (+.f64 (*.f64 3 (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) x)) (exp.f64 (neg.f64 (*.f64 4 (log.f64 x))))) 1)
(+.f64 (fma.f64 3 (*.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 x) 4)))) (exp.f64 (neg.f64 (*.f64 (log.f64 x) 4)))) -1)
(+.f64 (*.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 x 3) 1)) -1)
(fma.f64 (pow.f64 x -4) (fma.f64 x 3 1) -1)
(-.f64 (+.f64 (*.f64 3 (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) x)) (+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) (pow.f64 x 2)) (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))))) 1)
(+.f64 (fma.f64 3 (*.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 x) 4)))) (fma.f64 (exp.f64 (neg.f64 (*.f64 (log.f64 x) 4))) (*.f64 x x) (exp.f64 (neg.f64 (*.f64 (log.f64 x) 4))))) -1)
(+.f64 (fma.f64 x (/.f64 3 (pow.f64 x 4)) (*.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 x x) 1))) -1)
(fma.f64 (pow.f64 x -4) (fma.f64 x 3 (fma.f64 x x 1)) -1)
(-.f64 (+.f64 (*.f64 3 (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) x)) (+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) (pow.f64 x 2)) (+.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) (pow.f64 x 4))))) 1)
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 3)) (pow.f64 x -4)))
(*.f64 (pow.f64 x -4) (fma.f64 x 3 (fma.f64 x x 1)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(/.f64 x (pow.f64 x 3))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))
(/.f64 (+.f64 x 3) (pow.f64 x 3))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 3)) (pow.f64 x -4)))
(*.f64 (pow.f64 x -4) (fma.f64 x 3 (fma.f64 x x 1)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 3)) (pow.f64 x -4)))
(*.f64 (pow.f64 x -4) (fma.f64 x 3 (fma.f64 x x 1)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(/.f64 x (pow.f64 x 3))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))
(/.f64 (+.f64 x 3) (pow.f64 x 3))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 3)) (pow.f64 x -4)))
(*.f64 (pow.f64 x -4) (fma.f64 x 3 (fma.f64 x x 1)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 3)) (pow.f64 x -4)))
(*.f64 (pow.f64 x -4) (fma.f64 x 3 (fma.f64 x x 1)))
(exp.f64 (neg.f64 (*.f64 4 (log.f64 x))))
(/.f64 1 (pow.f64 x 4))
(pow.f64 x -4)
(+.f64 (*.f64 3 (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) x)) (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 3 (pow.f64 x 3)) (pow.f64 x -4))
(*.f64 (pow.f64 x -4) (fma.f64 x 3 1))
(+.f64 (*.f64 3 (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) x)) (+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) (pow.f64 x 2)) (exp.f64 (neg.f64 (*.f64 4 (log.f64 x))))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 3)) (pow.f64 x -4)))
(*.f64 (pow.f64 x -4) (fma.f64 x 3 (fma.f64 x x 1)))
(+.f64 (*.f64 3 (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) x)) (+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) (pow.f64 x 2)) (+.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) (*.f64 (exp.f64 (neg.f64 (*.f64 4 (log.f64 x)))) (pow.f64 x 4)))))
(fma.f64 3 (*.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 x) 4)))) (+.f64 (*.f64 (pow.f64 x 4) (exp.f64 (neg.f64 (*.f64 (log.f64 x) 4)))) (fma.f64 (exp.f64 (neg.f64 (*.f64 (log.f64 x) 4))) (*.f64 x x) (exp.f64 (neg.f64 (*.f64 (log.f64 x) 4))))))
(fma.f64 x (/.f64 3 (pow.f64 x 4)) (*.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(+.f64 1 (*.f64 (pow.f64 x -4) (fma.f64 x 3 (fma.f64 x x 1))))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (/.f64 1 (*.f64 x x)))
(+.f64 1 (/.f64 (/.f64 1 x) x))
(/.f64 (+.f64 (/.f64 1 x) x) x)
(+.f64 1 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 3 (pow.f64 x 3))))
(+.f64 1 (/.f64 (+.f64 x 3) (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(fma.f64 3 (*.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 x) 4)))) (+.f64 (*.f64 (pow.f64 x 4) (exp.f64 (neg.f64 (*.f64 (log.f64 x) 4)))) (fma.f64 (exp.f64 (neg.f64 (*.f64 (log.f64 x) 4))) (*.f64 x x) (exp.f64 (neg.f64 (*.f64 (log.f64 x) 4))))))
(fma.f64 x (/.f64 3 (pow.f64 x 4)) (*.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(+.f64 1 (*.f64 (pow.f64 x -4) (fma.f64 x 3 (fma.f64 x x 1))))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (/.f64 1 (*.f64 x x)))
(+.f64 1 (/.f64 (/.f64 1 x) x))
(/.f64 (+.f64 (/.f64 1 x) x) x)
(+.f64 1 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 3 (pow.f64 x 3))))
(+.f64 1 (/.f64 (+.f64 x 3) (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(fma.f64 3 (*.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 x) 4)))) (+.f64 (*.f64 (pow.f64 x 4) (exp.f64 (neg.f64 (*.f64 (log.f64 x) 4)))) (fma.f64 (exp.f64 (neg.f64 (*.f64 (log.f64 x) 4))) (*.f64 x x) (exp.f64 (neg.f64 (*.f64 (log.f64 x) 4))))))
(fma.f64 x (/.f64 3 (pow.f64 x 4)) (*.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(+.f64 1 (*.f64 (pow.f64 x -4) (fma.f64 x 3 (fma.f64 x x 1))))

prune333.0ms (5.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1990199
Fresh011
Picked011
Done022
Total1994203
Error
0.0b
Counts
203 → 4
Alt Table
StatusErrorProgram
✓27.4b
(/.f64 (-.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (+.f64 x 1))
✓34.1b
(-.f64 (neg.f64 (/.f64 3 x)) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4)))) -1))
✓34.0b
(-.f64 (neg.f64 (/.f64 3 x)) (fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 3 x) (/.f64 1 (pow.f64 x 4))))
45.7b
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (*.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (pow.f64 (/.f64 x (+.f64 x 1)) 2))
Compiler

Compiled 5648 to 4535 computations (19.7% saved)

regimes725.0ms (12.8%)

Accuracy

Total 0.1b remaining (79.5%)

Threshold costs 0.1b (79.5%)

Counts
156 → 2
Compiler

Compiled 5094 to 3916 computations (23.1% saved)

bsearch2.0ms (0%)

Algorithm
1×left-value
Calls

1 calls:

0.0ms
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Steps
ItersPointRange
0.001
∈ [
0.0005607590164119491
, 
0.002140026897525682
]
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03075
13175
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) 1152921504606847/1152921504606846976) (-.f64 (neg.f64 (/.f64 3 x)) (fma.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4)) 1 0)) (/.f64 (-.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (+.f64 x 1)))
Outputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) 1152921504606847/1152921504606846976) (-.f64 (neg.f64 (/.f64 3 x)) (fma.f64 (fma.f64 (pow.f64 x -3) (-.f64 x -3) (pow.f64 x -4)) 1 0)) (/.f64 (-.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (+.f64 x 1)))

end204.0ms (3.6%)

Stop Event
1×fuel
Compiler

Compiled 194 to 147 computations (24.2% saved)

Profiling

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