Details

Time bar (total: 2.9s)

analyze5.0ms (0.2%)

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)

sample1.4s (50.7%)

Results
632.0ms2089×body1024valid
417.0ms4451×body128valid
227.0ms1009×body512valid
81.0ms221×body2048valid
78.0ms486×body256valid
Compiler

Compiled 30 to 22 computations (26.7% saved)

preprocess70.0ms (2.5%)

Algorithm
2×egg-herbie
Rules
859×fma-neg_binary64
764×fma-def_binary64
321×div-sub_binary64
169×associate-/l*_binary64
149×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11619
22219
33419
46019
510019
620519
737719
895119
9212719
10275119
11306219
12387919
13417319
14421519
15421719
16421919
17422919
18422919
011
Stop Event
1×saturated
1×saturated
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)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify64.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
859×fma-neg_binary64
764×fma-def_binary64
321×div-sub_binary64
169×associate-/l*_binary64
149×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11619
22219
33419
46019
510019
620519
737719
895119
9212719
10275119
11306219
12387919
13417319
14421519
15421719
16421919
17422919
18422919
Stop Event
1×saturated
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)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x)))

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
27.9b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶27.9b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 55 to 39 computations (29.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 x (+.f64 x 1))
✓0.0b
(/.f64 (+.f64 x 1) (-.f64 x 1))
✓2.7b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))

series6.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

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

rewrite83.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
470×fma-def_binary64
286×fma-neg_binary64
267×log-div_binary64
174×expm1-udef_binary64
174×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
119536
2322236
Stop Event
1×node limit
Counts
3 → 210
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(/.f64 (+.f64 x 1) (-.f64 x 1))
(/.f64 x (+.f64 x 1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1))))))))

simplify33.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
405×fma-neg_binary64
344×cancel-sign-sub-inv_binary64
288×fma-def_binary64
287×associate-*l*_binary64
233×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064475
1204443
2627430
31940428
Stop Event
1×node limit
Counts
246 → 250
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))))))
-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))))))
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))))
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)))
(+.f64 1 (*.f64 x (+.f64 3 x)))
(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 1 (+.f64 (*.f64 x x) (*.f64 3 (+.f64 x (pow.f64 x 3)))))
(+.f64 1 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (*.f64 x x)))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x 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))))
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
(+.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 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))))
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x 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 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (/.f64 -3 x) (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.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))))
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
(+.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 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))))
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x 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 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (/.f64 -3 x) (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 x)))
(+.f64 -1 (neg.f64 (*.f64 x 2)))
(+.f64 -1 (*.f64 x -2))
(fma.f64 x -2 -1)
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))))
(+.f64 -1 (neg.f64 (*.f64 2 (+.f64 (*.f64 x x) x))))
(+.f64 -1 (*.f64 -2 (fma.f64 x x x)))
(fma.f64 -2 (fma.f64 x x x) -1)
(fma.f64 (fma.f64 x x x) -2 -1)
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 x (pow.f64 x 3))))))
(-.f64 -1 (*.f64 2 (+.f64 (fma.f64 x x x) (pow.f64 x 3))))
(+.f64 -1 (*.f64 -2 (+.f64 (pow.f64 x 3) (fma.f64 x x x))))
(fma.f64 -2 (+.f64 x (*.f64 x (fma.f64 x x x))) -1)
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 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 (/.f64 2 x) x))
(+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 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 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)) (/.f64 2 (pow.f64 x 3))))
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 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 (/.f64 2 x) x))
(+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 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 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)) (/.f64 2 (pow.f64 x 3))))
x
(-.f64 x (pow.f64 x 2))
(-.f64 x (*.f64 x x))
(-.f64 (+.f64 (pow.f64 x 3) x) (pow.f64 x 2))
(+.f64 (pow.f64 x 3) (-.f64 x (*.f64 x x)))
(-.f64 (+.f64 x (pow.f64 x 3)) (*.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 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x))
(+.f64 x (-.f64 (pow.f64 x 3) (fma.f64 x x (pow.f64 x 4))))
(*.f64 (fma.f64 x x 1) (-.f64 x (*.f64 x x)))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x)))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -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 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x)))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -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 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))

prune195.0ms (6.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2473250
Fresh000
Picked011
Done000
Total2474251
Error
0.0b
Counts
251 → 4
Alt Table
StatusErrorProgram
▶27.9b
(/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) (*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1))))
33.2b
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))))
✓27.9b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
30.8b
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
Compiler

Compiled 6124 to 4505 computations (26.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x -1) (+.f64 x 1))
✓0.0b
(/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) (*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1))))
✓0.0b
(*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1)))
✓2.7b
(fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))

series8.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

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

rewrite67.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
390×prod-diff_binary64
188×expm1-udef_binary64
188×log1p-udef_binary64
125×add-sqr-sqrt_binary64
122×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01180
124456
2371756
Stop Event
1×node limit
Counts
4 → 156
Calls
Call 1
Inputs
(fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))
(*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1)))
(/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 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 (*.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1))) (fma.f64 -1 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 x -1) (*.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1))) 1) (fma.f64 -1 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1))) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))) 2) (cbrt.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))) (sqrt.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1))) 3) (pow.f64 (fma.f64 -1 x -1) 3)) (+.f64 (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1))) (*.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)))) (-.f64 (pow.f64 (fma.f64 -1 x -1) 2) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1))) (fma.f64 -1 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1))) (*.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)))) (pow.f64 (fma.f64 -1 x -1) 2)) (-.f64 (*.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1))) (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))))))))
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((#(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 x -1) (exp.f64 (neg.f64 (log1p.f64 x))))))) (#(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 (+.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)) (exp.f64 (neg.f64 (log1p.f64 x)))))))) (#(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)) (exp.f64 (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (+.f64 x -1) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 x -1) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x -1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) 1) (/.f64 (sqrt.f64 (+.f64 x -1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 (+.f64 x -1)) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (fma.f64 x x -1)) (+.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 1 x)))))) (#(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 pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x -1) (fma.f64 -1 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 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 log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 x -1)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 x -1)) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))))))))

simplify31.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
479×fma-neg_binary64
360×cancel-sign-sub-inv_binary64
223×associate-*l*_binary64
215×fma-def_binary64
214×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059517
1193490
2588479
31794466
Stop Event
1×node limit
Counts
204 → 197
Calls
Call 1
Inputs
-1
(neg.f64 (+.f64 1 (*.f64 2 x)))
(-.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 2 x)))
(-.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3)))))
-3
(-.f64 (*.f64 2 (/.f64 1 x)) 3)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-3
(-.f64 (*.f64 2 (/.f64 1 x)) 3)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 x 1)
(-.f64 x 1)
(-.f64 x 1)
x
(-.f64 x 1)
(-.f64 x 1)
(-.f64 x 1)
x
(-.f64 x 1)
(-.f64 x 1)
(-.f64 x 1)
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
(-.f64 (*.f64 2 x) 1)
(-.f64 (*.f64 2 x) (+.f64 1 (*.f64 2 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))) (+.f64 1 (*.f64 2 (pow.f64 x 2))))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
Outputs
-1
(neg.f64 (+.f64 1 (*.f64 2 x)))
(+.f64 -1 (neg.f64 (*.f64 2 x)))
(+.f64 -1 (*.f64 x -2))
(fma.f64 x -2 -1)
(-.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 -1 (neg.f64 (*.f64 2 x))))
(+.f64 (fma.f64 2 (*.f64 x x) -1) (*.f64 x -2))
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 -1))
(fma.f64 x (fma.f64 2 x -2) -1)
(-.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3)))))
(-.f64 (*.f64 2 (*.f64 x x)) (+.f64 1 (*.f64 2 (+.f64 x (pow.f64 x 3)))))
(-.f64 (*.f64 2 (*.f64 x x)) (fma.f64 2 (+.f64 x (pow.f64 x 3)) 1))
(+.f64 (*.f64 2 (-.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3)))) -1)
(fma.f64 2 (*.f64 x (-.f64 x (fma.f64 x x 1))) -1)
-3
(-.f64 (*.f64 2 (/.f64 1 x)) 3)
(+.f64 (/.f64 2 x) -3)
(+.f64 -3 (/.f64 2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) -3) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (-.f64 -3 (/.f64 2 (*.f64 x x))))
(+.f64 -3 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 3 (/.f64 2 (*.f64 x x)))))
(+.f64 -3 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -3 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))))
-3
(-.f64 (*.f64 2 (/.f64 1 x)) 3)
(+.f64 (/.f64 2 x) -3)
(+.f64 -3 (/.f64 2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) -3) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (-.f64 -3 (/.f64 2 (*.f64 x x))))
(+.f64 -3 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 3 (/.f64 2 (*.f64 x x)))))
(+.f64 -3 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -3 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))))
-1
(-.f64 x 1)
(+.f64 x -1)
(-.f64 x 1)
(+.f64 x -1)
(-.f64 x 1)
(+.f64 x -1)
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 x 1)
(+.f64 x -1)
(-.f64 x 1)
(+.f64 x -1)
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 x 1)
(+.f64 x -1)
(-.f64 x 1)
(+.f64 x -1)
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)))
(+.f64 1 (*.f64 x (+.f64 x 3)))
(fma.f64 x (+.f64 x 3) 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (*.f64 x x) (*.f64 3 (+.f64 x (pow.f64 x 3)))))
(+.f64 1 (fma.f64 x x (*.f64 3 (+.f64 x (pow.f64 x 3)))))
(fma.f64 x (+.f64 x 3) (fma.f64 3 (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 (/.f64 -3 x) (/.f64 -1 (*.f64 x x)))
(-.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 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))))
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 x) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x 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 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (/.f64 -3 x) (-.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 (-.f64 (/.f64 -3 x) (/.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 (/.f64 -3 x) (/.f64 -1 (*.f64 x x)))
(-.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 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))))
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 x) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x 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 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (/.f64 -3 x) (-.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))
-1
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(-.f64 (*.f64 2 x) (+.f64 1 (*.f64 2 (pow.f64 x 2))))
(-.f64 (fma.f64 2 x -1) (*.f64 2 (*.f64 x x)))
(+.f64 (fma.f64 2 x -1) (*.f64 -2 (*.f64 x x)))
(+.f64 -1 (*.f64 2 (-.f64 x (*.f64 x x))))
(fma.f64 2 (-.f64 x (*.f64 x x)) -1)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))) (+.f64 1 (*.f64 2 (pow.f64 x 2))))
(-.f64 (*.f64 2 (+.f64 x (pow.f64 x 3))) (+.f64 1 (*.f64 2 (*.f64 x x))))
(fma.f64 2 (+.f64 x (pow.f64 x 3)) (neg.f64 (fma.f64 2 (*.f64 x x) 1)))
(+.f64 (*.f64 2 (-.f64 (+.f64 x (pow.f64 x 3)) (*.f64 x x))) -1)
(fma.f64 2 (*.f64 x (-.f64 (fma.f64 x x 1) x)) -1)
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 1 (/.f64 2 x)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 1 (+.f64 (/.f64 2 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 1 (/.f64 -2 x))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 1 (/.f64 2 x)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 1 (+.f64 (/.f64 2 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)))))

prune199.0ms (7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2422244
Fresh022
Picked101
Done011
Total2435248
Error
0.0b
Counts
248 → 5
Alt Table
StatusErrorProgram
61.8b
(/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) (pow.f64 (pow.f64 (+.f64 x -1) 3) 1/3))
33.2b
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))))
33.0b
(/.f64 (+.f64 -3 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))) (*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1))))
✓27.9b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
▶30.8b
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
Compiler

Compiled 6839 to 5032 computations (26.4% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓8.3b
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
1.0ms
x
@inf
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
1.0ms
x
@0
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))

rewrite40.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
814×pow1_binary64
760×log1p-expm1-u_binary64
760×expm1-log1p-u_binary64
81×add-sqr-sqrt_binary64
76×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
117115
2206315
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x 1) (*.f64 3 (+.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (+.f64 x (pow.f64 x 3))) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 (+.f64 x (pow.f64 x 3))) 1) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 3 (+.f64 x (pow.f64 x 3))) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))) 2) (cbrt.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))) (sqrt.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3 (+.f64 x (pow.f64 x 3))) 3) (pow.f64 (fma.f64 x x 1) 3)) (+.f64 (*.f64 (*.f64 3 (+.f64 x (pow.f64 x 3))) (*.f64 3 (+.f64 x (pow.f64 x 3)))) (-.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (*.f64 3 (+.f64 x (pow.f64 x 3))) (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 3 (+.f64 x (pow.f64 x 3))) (*.f64 3 (+.f64 x (pow.f64 x 3)))) (pow.f64 (fma.f64 x x 1) 2)) (-.f64 (*.f64 3 (+.f64 x (pow.f64 x 3))) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))))))))

simplify47.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
536×unswap-sqr_binary64
501×fma-def_binary64
394×associate-*l*_binary64
351×*-commutative_binary64
286×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
016150
145131
2110123
3284123
4725110
52178110
63912110
74180110
84506110
Stop Event
1×node limit
Counts
36 → 36
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 (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (*.f64 3 (pow.f64 x 3)))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3)))))
(*.f64 3 (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (*.f64 3 (pow.f64 x 3)))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3)))))
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)))
(+.f64 1 (*.f64 x (+.f64 3 x)))
(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 1 (*.f64 x x)) (*.f64 3 (+.f64 x (pow.f64 x 3))))
(+.f64 1 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (*.f64 x x)))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(fma.f64 3 (pow.f64 x 3) (fma.f64 x (+.f64 3 x) 1))
(*.f64 (fma.f64 3 x 1) (fma.f64 x x 1))
(*.f64 3 (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (*.f64 3 (pow.f64 x 3)))
(+.f64 (*.f64 x x) (*.f64 3 (pow.f64 x 3)))
(fma.f64 3 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (*.f64 3 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 3 x 1))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))
(+.f64 (*.f64 x x) (*.f64 3 (+.f64 x (pow.f64 x 3))))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (*.f64 x x))
(fma.f64 x x (*.f64 3 (+.f64 x (pow.f64 x 3))))
(*.f64 x (fma.f64 3 (fma.f64 x x 1) x))
(*.f64 x (fma.f64 (fma.f64 3 x 1) x 3))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (*.f64 x x)) (*.f64 3 (+.f64 x (pow.f64 x 3))))
(+.f64 1 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (*.f64 x x)))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(fma.f64 3 (pow.f64 x 3) (fma.f64 x (+.f64 3 x) 1))
(*.f64 (fma.f64 3 x 1) (fma.f64 x x 1))
(*.f64 3 (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (*.f64 3 (pow.f64 x 3)))
(+.f64 (*.f64 x x) (*.f64 3 (pow.f64 x 3)))
(fma.f64 3 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (*.f64 3 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 3 x 1))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))
(+.f64 (*.f64 x x) (*.f64 3 (+.f64 x (pow.f64 x 3))))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (*.f64 x x))
(fma.f64 x x (*.f64 3 (+.f64 x (pow.f64 x 3))))
(*.f64 x (fma.f64 3 (fma.f64 x x 1) x))
(*.f64 x (fma.f64 (fma.f64 3 x 1) x 3))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (*.f64 x x)) (*.f64 3 (+.f64 x (pow.f64 x 3))))
(+.f64 1 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (*.f64 x x)))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(fma.f64 3 (pow.f64 x 3) (fma.f64 x (+.f64 3 x) 1))
(*.f64 (fma.f64 3 x 1) (fma.f64 x x 1))

prune31.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New36036
Fresh033
Picked011
Done011
Total36541
Error
0.0b
Counts
41 → 5
Alt Table
StatusErrorProgram
61.8b
(/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) (pow.f64 (pow.f64 (+.f64 x -1) 3) 1/3))
33.2b
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))))
▶33.0b
(/.f64 (+.f64 -3 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))) (*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1))))
✓27.9b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
✓30.8b
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
Compiler

Compiled 692 to 501 computations (27.6% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1)))
✓0.1b
(/.f64 2 (pow.f64 x 3))
✓0.4b
(/.f64 -2 (*.f64 x x))
✓6.4b
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))

series10.0ms (0.3%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 -2 (*.f64 x x))
1.0ms
x
@0
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))
1.0ms
x
@inf
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))
1.0ms
x
@-inf
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))
1.0ms
x
@0
(/.f64 2 (pow.f64 x 3))

rewrite54.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
945×prod-diff_binary64
114×add-sqr-sqrt_binary64
108×add-log-exp_binary64
108×pow1_binary64
108×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01030
123628
2316528
Stop Event
1×node limit
Counts
3 → 109
Calls
Call 1
Inputs
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))
(/.f64 -2 (*.f64 x x))
(/.f64 2 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -3) (*.f64 -2 (pow.f64 x -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 4 (pow.f64 x 6)) (-.f64 (*.f64 2 (pow.f64 x -3)) (*.f64 -2 (pow.f64 x -2)))) (/.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 (*.f64 2 (pow.f64 x -3)) (*.f64 -2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (pow.f64 x -3) (*.f64 -2 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 (pow.f64 x -3) (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -3) (*.f64 -2 (pow.f64 x -2)))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -3) (*.f64 -2 (pow.f64 x -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -3) (*.f64 -2 (pow.f64 x -2)))) 2) (cbrt.f64 (fma.f64 2 (pow.f64 x -3) (*.f64 -2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -3) (*.f64 -2 (pow.f64 x -2)))) (sqrt.f64 (fma.f64 2 (pow.f64 x -3) (*.f64 -2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (*.f64 x x) (*.f64 (pow.f64 x 3) -2)) (/.f64 1 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 8 (pow.f64 (pow.f64 x -3) 3)) (/.f64 -8 (pow.f64 x 6))) (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 6)) (-.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 -4 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 4 (pow.f64 x 6)) (/.f64 4 (pow.f64 x 4))) (/.f64 1 (-.f64 (*.f64 2 (pow.f64 x -3)) (*.f64 -2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 x 5) (fma.f64 2 (*.f64 x x) (*.f64 (pow.f64 x 3) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 4 (pow.f64 x 6)) (-.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 -4 (pow.f64 x 5)))) (+.f64 (*.f64 8 (pow.f64 (pow.f64 x -3) 3)) (/.f64 -8 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 2 (pow.f64 x -3)) (*.f64 -2 (pow.f64 x -2))) (-.f64 (/.f64 4 (pow.f64 x 6)) (/.f64 4 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2 (*.f64 x x) (*.f64 (pow.f64 x 3) -2)) (pow.f64 x 5))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 (pow.f64 x -3) 3)) (/.f64 -8 (pow.f64 x 6))) (+.f64 (/.f64 4 (pow.f64 x 6)) (-.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 -4 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 (pow.f64 x -3) 3)) (/.f64 -8 (pow.f64 x 6))) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 (/.f64 4 (pow.f64 x 6)) (/.f64 -4 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 (pow.f64 x 6)) (/.f64 4 (pow.f64 x 4))) (-.f64 (*.f64 2 (pow.f64 x -3)) (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 2 (*.f64 x x) (*.f64 (pow.f64 x 3) -2))) (neg.f64 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 (pow.f64 x -3) 3)) (/.f64 -8 (pow.f64 x 6)))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 6)) (-.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 -4 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 4 (pow.f64 x 6)) (/.f64 4 (pow.f64 x 4)))) (neg.f64 (-.f64 (*.f64 2 (pow.f64 x -3)) (*.f64 -2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 x (neg.f64 x))) (*.f64 (pow.f64 x 3) 2)) (*.f64 (pow.f64 x 3) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -2 (*.f64 x (neg.f64 x))) (*.f64 (neg.f64 (pow.f64 x 3)) 2)) (*.f64 (neg.f64 (pow.f64 x 3)) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x (neg.f64 x)) (*.f64 (*.f64 (pow.f64 x 3) 1/2) 2)) (*.f64 (*.f64 (pow.f64 x 3) 1/2) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -2 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -8 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -8 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) x) (cbrt.f64 (/.f64 4 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 6))) (/.f64 (cbrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 2) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8 (pow.f64 (pow.f64 x -3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8 (pow.f64 (pow.f64 x -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -3))))))))

simplify27.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
626×associate-/r/_binary64
536×unswap-sqr_binary64
406×distribute-neg-frac_binary64
266×associate-/r*_binary64
237×associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015249
140249
280249
3177249
4511249
52339249
Stop Event
1×node limit
Counts
133 → 114
Calls
Call 1
Inputs
(/.f64 2 (pow.f64 x 3))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(/.f64 -2 (pow.f64 x 2))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(/.f64 -2 (pow.f64 x 2))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
Outputs
(/.f64 2 (pow.f64 x 3))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 2 x) -2))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 2 x) -2))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 2 x) -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 2 x) -2))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 2 x) -2))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 2 x) -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 2 x) -2))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 2 x) -2))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 2 x) -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))

prune130.0ms (4.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1680168
Fresh022
Picked011
Done022
Total1685173
Error
0.0b
Counts
173 → 5
Alt Table
StatusErrorProgram
61.8b
(/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) (pow.f64 (pow.f64 (+.f64 x -1) 3) 1/3))
33.2b
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))))
✓33.0b
(/.f64 (+.f64 -3 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))) (*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1))))
✓27.9b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
✓30.8b
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
Compiler

Compiled 5646 to 4248 computations (24.8% saved)

regimes112.0ms (3.9%)

Accuracy

Total 0.0b remaining (34.1%)

Threshold costs 0.0b (34.1%)

Counts
41 → 3
Compiler

Compiled 1536 to 1178 computations (23.3% saved)

bsearch31.0ms (1.1%)

Algorithm
2×binary-search
Calls

2 calls:

16.0ms
x
14.0ms
x
Steps
ItersPointRange
3200.0
∈ [
1718.5819577199807
, 
95104.838347185
]
-2900.0
∈ [
-5702.1335663344025
, 
-0.01160161066368913
]
Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
7×+-commutative_binary64
2×*-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041108
152108
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -2900) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4))))) (if (<=.f64 x 3200) (/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) (+.f64 x -1)) (/.f64 (+.f64 -3 (+.f64 (/.f64 2 x) (fma.f64 -2 (pow.f64 x -2) (*.f64 2 (pow.f64 x -3))))) (*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1))))))
Outputs
(if (<=.f64 x -2900) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4))))) (if (<=.f64 x 3200) (/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) (+.f64 x -1)) (/.f64 (+.f64 -3 (+.f64 (/.f64 2 x) (fma.f64 -2 (pow.f64 x -2) (*.f64 2 (pow.f64 x -3))))) (*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1))))))

end127.0ms (4.4%)

Stop Event
1×fuel
Compiler

Compiled 250 to 189 computations (24.4% saved)

Profiling

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