Details

Time bar (total: 1.3min)

analyze3.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%74.6%25.4%0%0%0%0
0%0%74.6%25.4%0%0%0%1
50%37.3%37.3%25.4%0%0%0%2
66.7%37.3%18.7%25.4%18.7%0%0%3
83.3%46.7%9.3%25.4%18.7%0%0%4
90.9%46.7%4.7%25.4%23.3%0%0%5
95.5%49%2.3%25.4%23.3%0%0%6
97.7%49%1.2%25.4%24.5%0%0%7
98.8%49.6%0.6%25.4%24.5%0%0%8
99.4%49.9%0.3%25.4%24.5%0%0%9
99.7%49.9%0.1%25.4%24.6%0%0%10
99.9%49.9%0.1%25.4%24.7%0%0%11
99.9%49.9%0%25.4%24.7%0%0%12
Compiler

Compiled 8 to 6 computations (25% saved)

sample6.7s (8.8%)

Results
4.1s4184×body1024valid
1.5s2095×body512valid
581.0ms435×body2048valid
539.0ms1542×body256valid
1.0msbody256infinite
Bogosity

preprocess9.0ms (0%)

Algorithm
egg-herbie
Rules
rational_best-simplify-3
rational_best-simplify-18
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1911
21011
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (exp.f64 x) 1)
Outputs
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify192.0ms (0.3%)

Algorithm
egg-herbie
Rules
rational_best-simplify-3
rational_best-simplify-18
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1911
21011
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) 1)
Outputs
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)

eval1.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
58.7b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
58.7b
(-.f64 (exp.f64 x) 1)
Compiler

Compiled 5 to 4 computations (20% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
6.0b
(-.f64 (exp.f64 x) 1)
Compiler

Compiled 9 to 5 computations (44.4% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (exp.f64 x) 1)
0.0ms
x
@inf
(-.f64 (exp.f64 x) 1)
0.0ms
x
@-inf
(-.f64 (exp.f64 x) 1)

rewrite269.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1048×rational_best-4
1048×rational_best-2
1048×rational_best-3
1048×rational_best-1
1048×exponential-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
14511
28611
321011
460811
5263411
Stop Event
node limit
Counts
1 → 52
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 x) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 x) 1/2) (+.f64 -1 (*.f64 (exp.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 (exp.f64 x) 1/2)) (*.f64 (exp.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (+.f64 (exp.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (+.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) (+.f64 (/.f64 (exp.f64 x) 4) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (/.f64 (*.f64 (*.f64 (-.f64 1 (exp.f64 x)) -3) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (/.f64 (*.f64 (-.f64 1 (exp.f64 x)) -3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (+.f64 1/2 (/.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (exp.f64 x) 4) (-.f64 (/.f64 (exp.f64 x) 4) (-.f64 1 (*.f64 (exp.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 x) -1/2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) (+.f64 (/.f64 (exp.f64 x) 4) -1/4)) (+.f64 (/.f64 (exp.f64 x) 4) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (exp.f64 x) -2) 4) (/.f64 (-.f64 (*.f64 (exp.f64 x) 3) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -1 (*.f64 (exp.f64 x) 2)) 4) (/.f64 (+.f64 -1 (+.f64 (*.f64 (exp.f64 x) 2) -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 (-.f64 1 (exp.f64 x)) -3) 1/2) 2) (+.f64 (/.f64 (exp.f64 x) 4) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (-.f64 1 (exp.f64 x)) -3) 4) (+.f64 (/.f64 (exp.f64 x) 4) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -1 (+.f64 (*.f64 (exp.f64 x) 2) -2)) 4) (/.f64 (+.f64 -1 (*.f64 (exp.f64 x) 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) 3) 2) 4) (/.f64 (+.f64 (exp.f64 x) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (+.f64 1/2 (/.f64 (exp.f64 x) -2))) (+.f64 (/.f64 (exp.f64 x) 4) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (exp.f64 x) 4) (+.f64 1/2 (/.f64 (exp.f64 x) -2))) (-.f64 (/.f64 (exp.f64 x) 4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (exp.f64 x) 4) 1) (-.f64 (/.f64 (exp.f64 x) 4) (/.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) 1/2) (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (/.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (/.f64 (exp.f64 x) -2)) (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (neg.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4))) (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (neg.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (exp.f64 x) 4) (-.f64 1 (*.f64 (exp.f64 x) 1/2))) (/.f64 (exp.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (exp.f64 x) 4) (-.f64 1 (/.f64 (exp.f64 x) 4))) (-.f64 (/.f64 (exp.f64 x) 4) (neg.f64 (/.f64 (exp.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (exp.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (exp.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 (exp.f64 x) -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (+.f64 1/2 (/.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (exp.f64 x) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -1) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (exp.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -1) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 1 (exp.f64 x)))))))

simplify442.0ms (0.6%)

Algorithm
egg-herbie
Rules
854×rational_best-simplify-1
832×rational_best-simplify-3
708×rational_best-simplify-65
682×rational_best-simplify-62
660×rational_best-simplify-50
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0133814
1278800
2614794
31825794
46567778
Stop Event
node limit
Counts
56 → 70
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) 0)
(+.f64 0 (+.f64 (exp.f64 x) -1))
(+.f64 -1 (exp.f64 x))
(+.f64 (*.f64 (exp.f64 x) 1/2) (+.f64 -1 (*.f64 (exp.f64 x) 1/2)))
(+.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2))
(+.f64 (+.f64 -1 (*.f64 (exp.f64 x) 1/2)) (*.f64 (exp.f64 x) 1/2))
(+.f64 -1/2 (+.f64 (exp.f64 x) -1/2))
(+.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (+.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) (+.f64 (/.f64 (exp.f64 x) 4) -1/4)))
(+.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (/.f64 (*.f64 (*.f64 (-.f64 1 (exp.f64 x)) -3) 1/2) 2))
(+.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (/.f64 (*.f64 (-.f64 1 (exp.f64 x)) -3) 4))
(+.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (+.f64 1/2 (/.f64 (exp.f64 x) -2))))
(+.f64 (/.f64 (exp.f64 x) 4) (-.f64 (/.f64 (exp.f64 x) 4) (-.f64 1 (*.f64 (exp.f64 x) 1/2))))
(+.f64 (+.f64 (exp.f64 x) -1/2) -1/2)
(+.f64 (+.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) (+.f64 (/.f64 (exp.f64 x) 4) -1/4)) (+.f64 (/.f64 (exp.f64 x) 4) -1/4))
(+.f64 (/.f64 (+.f64 (exp.f64 x) -2) 4) (/.f64 (-.f64 (*.f64 (exp.f64 x) 3) 2) 4))
(+.f64 (/.f64 (+.f64 -1 (*.f64 (exp.f64 x) 2)) 4) (/.f64 (+.f64 -1 (+.f64 (*.f64 (exp.f64 x) 2) -2)) 4))
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 1 (exp.f64 x)) -3) 1/2) 2) (+.f64 (/.f64 (exp.f64 x) 4) -1/4))
(+.f64 (/.f64 (*.f64 (-.f64 1 (exp.f64 x)) -3) 4) (+.f64 (/.f64 (exp.f64 x) 4) -1/4))
(+.f64 (/.f64 (+.f64 -1 (+.f64 (*.f64 (exp.f64 x) 2) -2)) 4) (/.f64 (+.f64 -1 (*.f64 (exp.f64 x) 2)) 4))
(+.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) 3) 2) 4) (/.f64 (+.f64 (exp.f64 x) -2) 4))
(+.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (+.f64 1/2 (/.f64 (exp.f64 x) -2))) (+.f64 (/.f64 (exp.f64 x) 4) -1/4))
(+.f64 (-.f64 (/.f64 (exp.f64 x) 4) (+.f64 1/2 (/.f64 (exp.f64 x) -2))) (-.f64 (/.f64 (exp.f64 x) 4) 1/2))
(+.f64 (-.f64 (/.f64 (exp.f64 x) 4) 1) (-.f64 (/.f64 (exp.f64 x) 4) (/.f64 (exp.f64 x) -2)))
(+.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) 1/2) (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (/.f64 (exp.f64 x) -2)))
(+.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (/.f64 (exp.f64 x) -2)) (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) 1/2))
(+.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (neg.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4))) (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (neg.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4))))
(+.f64 (-.f64 (/.f64 (exp.f64 x) 4) (-.f64 1 (*.f64 (exp.f64 x) 1/2))) (/.f64 (exp.f64 x) 4))
(+.f64 (-.f64 (/.f64 (exp.f64 x) 4) (-.f64 1 (/.f64 (exp.f64 x) 4))) (-.f64 (/.f64 (exp.f64 x) 4) (neg.f64 (/.f64 (exp.f64 x) 4))))
(*.f64 1 (+.f64 (exp.f64 x) -1))
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(*.f64 2 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2))
(*.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 1/2)
(*.f64 1/2 (+.f64 (*.f64 (exp.f64 x) 2) -2))
(*.f64 (-.f64 1 (exp.f64 x)) -1)
(*.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 1/4)
(*.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) 2)
(*.f64 4 (*.f64 (+.f64 (exp.f64 x) -1) 1/4))
(*.f64 -2 (+.f64 1/2 (/.f64 (exp.f64 x) -2)))
(*.f64 1/4 (*.f64 (+.f64 (exp.f64 x) -1) 4))
(*.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -1) 4)) 1/8)
(*.f64 1/8 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -1) 4)))
(*.f64 (*.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4) 1/16)
(/.f64 (+.f64 (exp.f64 x) -1) 1)
(/.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 2)
(/.f64 (-.f64 1 (exp.f64 x)) -1)
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -1) 4)) 8)
(/.f64 (*.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4) 16)
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) -2)) 4)
(pow.f64 (+.f64 (exp.f64 x) -1) 1)
(neg.f64 (-.f64 1 (exp.f64 x)))
Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(+.f64 (+.f64 x (*.f64 1/24 (pow.f64 x 4))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 x (+.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) 0)
(+.f64 (exp.f64 x) -1)
(+.f64 0 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(+.f64 (exp.f64 x) -1)
(+.f64 (*.f64 (exp.f64 x) 1/2) (+.f64 -1 (*.f64 (exp.f64 x) 1/2)))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 -1 (*.f64 (exp.f64 x) 1/2)) (*.f64 (exp.f64 x) 1/2))
(+.f64 (exp.f64 x) -1)
(+.f64 -1/2 (+.f64 (exp.f64 x) -1/2))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (+.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) (+.f64 (/.f64 (exp.f64 x) 4) -1/4)))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (/.f64 (*.f64 (*.f64 (-.f64 1 (exp.f64 x)) -3) 1/2) 2))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (/.f64 (*.f64 (-.f64 1 (exp.f64 x)) -3) 4))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (+.f64 1/2 (/.f64 (exp.f64 x) -2))))
(+.f64 (exp.f64 x) -1)
(+.f64 (/.f64 (exp.f64 x) 4) (-.f64 (/.f64 (exp.f64 x) 4) (-.f64 1 (*.f64 (exp.f64 x) 1/2))))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1/2) -1/2)
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) (+.f64 (/.f64 (exp.f64 x) 4) -1/4)) (+.f64 (/.f64 (exp.f64 x) 4) -1/4))
(+.f64 (exp.f64 x) -1)
(+.f64 (/.f64 (+.f64 (exp.f64 x) -2) 4) (/.f64 (-.f64 (*.f64 (exp.f64 x) 3) 2) 4))
(+.f64 (exp.f64 x) -1)
(+.f64 (/.f64 (+.f64 -1 (*.f64 (exp.f64 x) 2)) 4) (/.f64 (+.f64 -1 (+.f64 (*.f64 (exp.f64 x) 2) -2)) 4))
(+.f64 (exp.f64 x) -1)
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 1 (exp.f64 x)) -3) 1/2) 2) (+.f64 (/.f64 (exp.f64 x) 4) -1/4))
(+.f64 (exp.f64 x) -1)
(+.f64 (/.f64 (*.f64 (-.f64 1 (exp.f64 x)) -3) 4) (+.f64 (/.f64 (exp.f64 x) 4) -1/4))
(+.f64 (exp.f64 x) -1)
(+.f64 (/.f64 (+.f64 -1 (+.f64 (*.f64 (exp.f64 x) 2) -2)) 4) (/.f64 (+.f64 -1 (*.f64 (exp.f64 x) 2)) 4))
(+.f64 (exp.f64 x) -1)
(+.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) 3) 2) 4) (/.f64 (+.f64 (exp.f64 x) -2) 4))
(+.f64 (exp.f64 x) -1)
(+.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (+.f64 1/2 (/.f64 (exp.f64 x) -2))) (+.f64 (/.f64 (exp.f64 x) 4) -1/4))
(+.f64 (exp.f64 x) -1)
(+.f64 (-.f64 (/.f64 (exp.f64 x) 4) (+.f64 1/2 (/.f64 (exp.f64 x) -2))) (-.f64 (/.f64 (exp.f64 x) 4) 1/2))
(+.f64 -1/2 (+.f64 (-.f64 (/.f64 (exp.f64 x) 4) (/.f64 (exp.f64 x) -2)) (-.f64 (/.f64 (exp.f64 x) 4) 1/2)))
(+.f64 -1/2 (+.f64 (-.f64 (/.f64 (exp.f64 x) 4) 1/2) (+.f64 (*.f64 1/2 (exp.f64 x)) (/.f64 (exp.f64 x) 4))))
(+.f64 -1/2 (+.f64 (-.f64 (/.f64 (exp.f64 x) 4) 1/2) (*.f64 (exp.f64 x) 3/4)))
(+.f64 (-.f64 (/.f64 (exp.f64 x) 4) 1) (-.f64 (/.f64 (exp.f64 x) 4) (/.f64 (exp.f64 x) -2)))
(+.f64 (exp.f64 x) -1)
(+.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) 1/2) (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (/.f64 (exp.f64 x) -2)))
(+.f64 (exp.f64 x) -1)
(+.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (/.f64 (exp.f64 x) -2)) (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) 1/2))
(+.f64 (exp.f64 x) -1)
(+.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (neg.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4))) (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (neg.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4))))
(+.f64 (exp.f64 x) -1)
(+.f64 (-.f64 (/.f64 (exp.f64 x) 4) (-.f64 1 (*.f64 (exp.f64 x) 1/2))) (/.f64 (exp.f64 x) 4))
(+.f64 (exp.f64 x) -1)
(+.f64 (-.f64 (/.f64 (exp.f64 x) 4) (-.f64 1 (/.f64 (exp.f64 x) 4))) (-.f64 (/.f64 (exp.f64 x) 4) (neg.f64 (/.f64 (exp.f64 x) 4))))
(+.f64 (-.f64 (/.f64 (exp.f64 x) 4) (-.f64 1 (/.f64 (exp.f64 x) 4))) (*.f64 -2 (/.f64 (exp.f64 x) -4)))
(+.f64 (*.f64 1/2 (exp.f64 x)) (-.f64 (/.f64 (exp.f64 x) 4) (-.f64 1 (/.f64 (exp.f64 x) 4))))
(*.f64 1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(*.f64 2 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2))
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 1/2)
(+.f64 (exp.f64 x) -1)
(*.f64 1/2 (+.f64 (*.f64 (exp.f64 x) 2) -2))
(+.f64 (exp.f64 x) -1)
(*.f64 (-.f64 1 (exp.f64 x)) -1)
(+.f64 (exp.f64 x) -1)
(*.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 1/4)
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) 2)
(+.f64 (exp.f64 x) -1)
(*.f64 4 (*.f64 (+.f64 (exp.f64 x) -1) 1/4))
(+.f64 (exp.f64 x) -1)
(*.f64 -2 (+.f64 1/2 (/.f64 (exp.f64 x) -2)))
(+.f64 (exp.f64 x) -1)
(*.f64 1/4 (*.f64 (+.f64 (exp.f64 x) -1) 4))
(+.f64 (exp.f64 x) -1)
(*.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -1) 4)) 1/8)
(+.f64 (exp.f64 x) -1)
(*.f64 1/8 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -1) 4)))
(+.f64 (exp.f64 x) -1)
(*.f64 (*.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4) 1/16)
(+.f64 (exp.f64 x) -1)
(/.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(/.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 2)
(+.f64 (exp.f64 x) -1)
(/.f64 (-.f64 1 (exp.f64 x)) -1)
(+.f64 (exp.f64 x) -1)
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4)
(+.f64 (exp.f64 x) -1)
(/.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -1) 4)) 8)
(+.f64 (exp.f64 x) -1)
(/.f64 (*.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4) 16)
(+.f64 (exp.f64 x) -1)
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) -2)) 4)
(/.f64 (-.f64 (*.f64 2 (+.f64 (exp.f64 x) -2)) (*.f64 (exp.f64 x) -2)) 4)
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 x) -2) 4) (*.f64 (exp.f64 x) -4)) 8)
(-.f64 (/.f64 (*.f64 4 (+.f64 (exp.f64 x) -2)) 8) (*.f64 (exp.f64 x) -1/2))
(pow.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(neg.f64 (-.f64 1 (exp.f64 x)))
(+.f64 (exp.f64 x) -1)

eval30.9s (40.4%)

Compiler

Compiled 879 to 629 computations (28.4% saved)

prune40.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New67370
Fresh000
Picked011
Done000
Total67471
Error
0.0b
Counts
71 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
58.7b
(-.f64 (exp.f64 x) 1)
1.0b
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
0.8b
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
1.4b
x
Compiler

Compiled 29 to 22 computations (24.1% saved)

localize111.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
0.0b
(*.f64 1/2 (pow.f64 x 2))
0.0b
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
0.1b
(*.f64 1/6 (pow.f64 x 3))
Compiler

Compiled 46 to 36 computations (21.7% saved)

series5.0ms (0%)

Counts
4 → 24
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
1.0ms
x
@0
(*.f64 1/6 (pow.f64 x 3))
1.0ms
x
@-inf
(*.f64 1/6 (pow.f64 x 3))
1.0ms
x
@inf
(*.f64 1/6 (pow.f64 x 3))
0.0ms
x
@inf
(*.f64 1/2 (pow.f64 x 2))

rewrite32.5s (42.6%)

Algorithm
batch-egg-rewrite
Rules
1296×rational_best-simplify-51
814×rational_best-simplify-75
808×rational_best-simplify-76
794×rational_best-simplify-63
784×rational_best-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01394
18994
217494
344194
4182594
Stop Event
node limit
Counts
4 → 206
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2) (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 x 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2) (/.f64 (*.f64 1/6 (pow.f64 x 3)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) -1/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 x 3) 2/3)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 x 3) 1/3)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x 3) 1/3)) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x 3) 2/3)) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 3) -1/6))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) (+.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) -4) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 4)))))) 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(pow.f64 x 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (pow.f64 x 2)) 2) (/.f64 (*.f64 1/6 (pow.f64 x 3)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 (pow.f64 x 2) -4)) (/.f64 (pow.f64 x 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 3 (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2)) (/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (neg.f64 (pow.f64 x 2))) (*.f64 1/6 (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 x 2) -1/2) (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2))) (-.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2) (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify776.0ms (1%)

Algorithm
egg-herbie
Rules
1052×rational_best-simplify-56
984×rational_best-simplify-64
900×rational_best-simplify-65
756×rational_best-simplify-59
642×rational_best-simplify-66
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04297468
111207468
234907328
Stop Event
node limit
Counts
230 → 255
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2) (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) 0)
(-.f64 0 (*.f64 (pow.f64 x 3) -1/6))
(-.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2) (/.f64 (*.f64 1/6 (pow.f64 x 3)) -2))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(/.f64 (*.f64 (pow.f64 x 3) -1/6) -1)
(/.f64 (*.f64 (pow.f64 x 3) 1/3) 2)
(/.f64 (*.f64 (pow.f64 x 3) 2/3) 4)
(/.f64 (neg.f64 (*.f64 (pow.f64 x 3) 2/3)) -4)
(/.f64 (neg.f64 (*.f64 (pow.f64 x 3) 1/3)) -2)
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 2/3)) 8)
(/.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x 3) 1/3)) -1) 2)
(/.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x 3) 2/3)) -1) 4)
(pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(neg.f64 (*.f64 (pow.f64 x 3) -1/6))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 2) -1/2))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 2) -1/2))))
(-.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) -1/6)))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) -1/6))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 1/3)))
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) 0)
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) (+.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) -4) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 4)))
(-.f64 0 (-.f64 (*.f64 (pow.f64 x 2) -1/2) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 2) -1/2)))
(-.f64 (/.f64 (pow.f64 x 2) 4) (-.f64 (*.f64 (pow.f64 x 3) -1/6) (/.f64 (pow.f64 x 2) 4)))
(-.f64 (/.f64 (pow.f64 x 2) 4) (-.f64 (/.f64 (pow.f64 x 2) -4) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (/.f64 (pow.f64 x 2) 4) (-.f64 0 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 (pow.f64 x 2) 4))))
(-.f64 (/.f64 (pow.f64 x 2) 4) (+.f64 (/.f64 (pow.f64 x 2) -4) (*.f64 (pow.f64 x 3) -1/6)))
(-.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 4) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) -4))
(-.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2) (/.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))) 2))
(-.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2) (-.f64 0 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2))))
(-.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2) (+.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) -2) (*.f64 (pow.f64 x 2) -1/2)))
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 2) -1/2)) (neg.f64 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 (pow.f64 x 2) 4)) (/.f64 (pow.f64 x 2) -4))
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2)) (/.f64 (*.f64 1/6 (pow.f64 x 3)) -2))
(-.f64 (neg.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 2) -1/2))) (neg.f64 (*.f64 (pow.f64 x 3) 1/3)))
(-.f64 (/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (pow.f64 x 2)) 2) (/.f64 (*.f64 1/6 (pow.f64 x 3)) -2))
(-.f64 (-.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 (pow.f64 x 2) -4)) (/.f64 (pow.f64 x 2) -4))
(-.f64 (*.f64 3 (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2)) (/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (neg.f64 (pow.f64 x 2))) (*.f64 1/6 (pow.f64 x 3))) 2))
(-.f64 (-.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 x 2) -1/2) (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2))) (-.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1/2 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)))
(*.f64 2 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) 1/2))
(*.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) 1)
(*.f64 1 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) (*.f64 1/6 (pow.f64 x 3))) -1)
(*.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 1/2)
(*.f64 1/4 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 2/3)))
(*.f64 1/4 (-.f64 (*.f64 (pow.f64 x 3) 2/3) (*.f64 (pow.f64 x 2) -2)))
(*.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 2/3)) 1/4)
(*.f64 (*.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 4) 1/8)
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(*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))) 1)
(*.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) (+.f64 x x)) 1/2)
(*.f64 1/4 (+.f64 (*.f64 x 4) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 2/3))))
(*.f64 (+.f64 (*.f64 x 4) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 2/3))) 1/4)
(*.f64 (*.f64 (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) (+.f64 x x)) 4) 1/8)
(/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))) 1)
(/.f64 (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) (+.f64 x x)) 2)
(/.f64 (+.f64 (*.f64 x 4) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 2/3))) 4)
(/.f64 (*.f64 (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) (+.f64 x x)) 4) 8)
(/.f64 (-.f64 (+.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/3))) (neg.f64 (pow.f64 x 2))) 2)
(/.f64 (-.f64 (*.f64 x 4) (neg.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 2/3)))) 4)
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/3) (-.f64 (*.f64 x -2) (pow.f64 x 2))) 2)
(/.f64 (-.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 2/3)) (neg.f64 (*.f64 x 4))) 4)
(/.f64 (-.f64 (+.f64 (pow.f64 x 2) (+.f64 x x)) (neg.f64 (*.f64 (pow.f64 x 3) 1/3))) 2)
(/.f64 (-.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 x 4)) (neg.f64 (*.f64 (pow.f64 x 3) 2/3))) 4)
(/.f64 (-.f64 (+.f64 (*.f64 x 4) (*.f64 (pow.f64 x 3) 2/3)) (*.f64 (pow.f64 x 2) -2)) 4)
(/.f64 (-.f64 (*.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) 4) (*.f64 (pow.f64 x 2) -2)) 4)
(pow.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))) 1)
(neg.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/6) (-.f64 (*.f64 (pow.f64 x 2) -1/2) x)))
Outputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) 0)
(*.f64 1/6 (pow.f64 x 3))
(+.f64 0 (*.f64 1/6 (pow.f64 x 3)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2) (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2))
(*.f64 1/6 (pow.f64 x 3))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) 0)
(*.f64 1/6 (pow.f64 x 3))
(-.f64 0 (*.f64 (pow.f64 x 3) -1/6))
(*.f64 1/6 (pow.f64 x 3))
(-.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2) (/.f64 (*.f64 1/6 (pow.f64 x 3)) -2))
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) -1/6) -1)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/3) 2)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 2/3) 4)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (neg.f64 (*.f64 (pow.f64 x 3) 2/3)) -4)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (neg.f64 (*.f64 (pow.f64 x 3) 1/3)) -2)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 2/3)) 8)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x 3) 1/3)) -1) 2)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x 3) 2/3)) -1) 4)
(*.f64 1/6 (pow.f64 x 3))
(pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(*.f64 1/6 (pow.f64 x 3))
(neg.f64 (*.f64 (pow.f64 x 3) -1/6))
(*.f64 1/6 (pow.f64 x 3))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 2) -1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 2) -1/2))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) -1/6))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 1/3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) 0)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) (+.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) -4) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 0 (-.f64 (*.f64 (pow.f64 x 2) -1/2) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 2) -1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (/.f64 (pow.f64 x 2) 4) (-.f64 (*.f64 (pow.f64 x 3) -1/6) (/.f64 (pow.f64 x 2) 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (/.f64 (pow.f64 x 2) 4) (-.f64 (/.f64 (pow.f64 x 2) -4) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (/.f64 (pow.f64 x 2) 4) (-.f64 0 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 (pow.f64 x 2) 4))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (/.f64 (pow.f64 x 2) 4) (+.f64 (/.f64 (pow.f64 x 2) -4) (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 4) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) -4))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2) (/.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))) 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2) (-.f64 0 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2) (+.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) -2) (*.f64 (pow.f64 x 2) -1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 2) -1/2)) (neg.f64 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 (pow.f64 x 2) 4)) (/.f64 (pow.f64 x 2) -4))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2)) (/.f64 (*.f64 1/6 (pow.f64 x 3)) -2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (neg.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 2) -1/2))) (neg.f64 (*.f64 (pow.f64 x 3) 1/3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (pow.f64 x 2)) 2) (/.f64 (*.f64 1/6 (pow.f64 x 3)) -2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (-.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 (pow.f64 x 2) -4)) (/.f64 (pow.f64 x 2) -4))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (*.f64 3 (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2)) (/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (neg.f64 (pow.f64 x 2))) (*.f64 1/6 (pow.f64 x 3))) 2))
(-.f64 (*.f64 (*.f64 1/6 (pow.f64 x 3)) 3/2) (/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (neg.f64 (pow.f64 x 2))) (*.f64 1/6 (pow.f64 x 3))) 2))
(-.f64 (*.f64 (pow.f64 x 3) 1/4) (*.f64 1/2 (-.f64 (*.f64 1/6 (pow.f64 x 3)) (pow.f64 x 2))))
(-.f64 (-.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 x 2) -1/2) (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2))) (-.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) 2) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(*.f64 1/2 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(*.f64 2 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(*.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) 1)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(*.f64 1 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) (*.f64 1/6 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(*.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 1/2)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(*.f64 1/4 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 2/3)))
(*.f64 1/4 (+.f64 (*.f64 (pow.f64 x 3) 2/3) (*.f64 2 (pow.f64 x 2))))
(*.f64 1/4 (-.f64 (*.f64 (pow.f64 x 3) 2/3) (*.f64 (pow.f64 x 2) -2)))
(*.f64 1/4 (+.f64 (/.f64 (pow.f64 x 2) 1/2) (*.f64 (pow.f64 x 3) 2/3)))
(*.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 2/3)) 1/4)
(*.f64 1/4 (+.f64 (*.f64 (pow.f64 x 3) 2/3) (*.f64 2 (pow.f64 x 2))))
(*.f64 (*.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 4) 1/8)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) 1)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) (*.f64 1/6 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 2)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 2/3)) 4)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 x 3) 1/3)) (pow.f64 x 2)) -2)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (neg.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 2/3))) -4)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 4) 8)
(/.f64 (*.f64 4 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3))) 8)
(/.f64 (*.f64 4 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) -1/3))) 8)
(/.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 x 3) 1/3)) (pow.f64 x 2)) -1) 2)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 2/3))) -1) 4)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 2/3) (*.f64 (pow.f64 x 2) -2)) 4)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (-.f64 (*.f64 2 (pow.f64 x 2)) (neg.f64 (*.f64 (pow.f64 x 3) 2/3))) 4)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(pow.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) 1)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(neg.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) 0)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 0 (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 4))
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(*.f64 1/2 (-.f64 (pow.f64 x 2) (neg.f64 (+.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/3))))))
(*.f64 2 (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))) 1/2))
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))) 1)
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) (+.f64 x x)) 1/2)
(*.f64 1/2 (+.f64 x (+.f64 x (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)))))
(*.f64 1/2 (+.f64 x (+.f64 x (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) -1/3)))))
(*.f64 1/4 (+.f64 (*.f64 x 4) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 2/3))))
(*.f64 1/4 (+.f64 (*.f64 (pow.f64 x 3) 2/3) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 x 4))))
(*.f64 (+.f64 (*.f64 x 4) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 2/3))) 1/4)
(*.f64 1/4 (+.f64 (*.f64 (pow.f64 x 3) 2/3) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 x 4))))
(*.f64 (*.f64 (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) (+.f64 x x)) 4) 1/8)
(*.f64 1/2 (+.f64 x (+.f64 x (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)))))
(*.f64 1/2 (+.f64 x (+.f64 x (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) -1/3)))))
(/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))) 1)
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(/.f64 (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) (+.f64 x x)) 2)
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(/.f64 (+.f64 (*.f64 x 4) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 2/3))) 4)
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 2/3) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 x 4))) 4)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 x 4)) 4))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (/.f64 (*.f64 x 4) 4)))
(/.f64 (*.f64 (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) (+.f64 x x)) 4) 8)
(/.f64 (*.f64 4 (+.f64 x (+.f64 x (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3))))) 8)
(/.f64 (*.f64 4 (+.f64 x (+.f64 x (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) -1/3))))) 8)
(/.f64 (-.f64 (+.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/3))) (neg.f64 (pow.f64 x 2))) 2)
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 x 4) (neg.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 2/3)))) 4)
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 2/3) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 x 4))) 4)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 x 4)) 4))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (/.f64 (*.f64 x 4) 4)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/3) (-.f64 (*.f64 x -2) (pow.f64 x 2))) 2)
(/.f64 (-.f64 (pow.f64 x 2) (-.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) 1/3))) 2)
(-.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 (-.f64 (*.f64 x -2) (pow.f64 x 2)) 2))
(/.f64 (-.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 2/3)) (neg.f64 (*.f64 x 4))) 4)
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 2/3) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 x 4))) 4)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 x 4)) 4))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (/.f64 (*.f64 x 4) 4)))
(/.f64 (-.f64 (+.f64 (pow.f64 x 2) (+.f64 x x)) (neg.f64 (*.f64 (pow.f64 x 3) 1/3))) 2)
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 x 4)) (neg.f64 (*.f64 (pow.f64 x 3) 2/3))) 4)
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 2/3) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 x 4))) 4)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 x 4)) 4))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (/.f64 (*.f64 x 4) 4)))
(/.f64 (-.f64 (+.f64 (*.f64 x 4) (*.f64 (pow.f64 x 3) 2/3)) (*.f64 (pow.f64 x 2) -2)) 4)
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 2/3) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 x 4))) 4)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 x 4)) 4))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (/.f64 (*.f64 x 4) 4)))
(/.f64 (-.f64 (*.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) 4) (*.f64 (pow.f64 x 2) -2)) 4)
(/.f64 (-.f64 (*.f64 4 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (pow.f64 x 2) -2)) 4)
(-.f64 (/.f64 (*.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) 8) 8) (*.f64 (pow.f64 x 2) -1/2))
(pow.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))) 1)
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/6) (-.f64 (*.f64 (pow.f64 x 2) -1/2) x)))
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))

localize50.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
0.0b
(*.f64 1/2 (pow.f64 x 2))
Compiler

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
0.0ms
x
@-inf
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
0.0ms
x
@0
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)

rewrite677.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1622×rational_best-4
1622×rational_best-2
1622×rational_best-3
1622×rational_best-1
1622×exponential-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
15219
29519
322519
470419
5427919
Stop Event
node limit
Counts
1 → 58
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (*.f64 (pow.f64 x 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (+.f64 (neg.f64 x) (-.f64 x (*.f64 1/2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (pow.f64 x 2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 x 2) -1/2) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (neg.f64 (pow.f64 x 2)) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (*.f64 x -2) (-.f64 x (*.f64 1/2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) (-.f64 x (*.f64 1/2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 x 2) (/.f64 (pow.f64 x 2) -4)) (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 2) 4) (-.f64 (/.f64 (pow.f64 x 2) -4) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 2) 4) (neg.f64 (-.f64 x (/.f64 (pow.f64 x 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x 2) (/.f64 (-.f64 (neg.f64 (pow.f64 x 2)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x 2) (neg.f64 (/.f64 (+.f64 x (pow.f64 x 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x 2) (/.f64 (-.f64 0 (+.f64 x (pow.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x (/.f64 x -2)) (+.f64 (/.f64 x -2) (-.f64 x (*.f64 1/2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2) (+.f64 (/.f64 (pow.f64 x 2) -4) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x (/.f64 (pow.f64 x 2) -4)) (/.f64 (pow.f64 x 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x (pow.f64 x 2)) 2) (/.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (/.f64 x 2) (/.f64 (pow.f64 x 2) -4)) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))) (-.f64 0 (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x 2) (/.f64 x 4)) (-.f64 (*.f64 (pow.f64 x 2) -1/2) (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 8)) (-.f64 (neg.f64 x) (/.f64 (pow.f64 x 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (*.f64 (pow.f64 x 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (/.f64 (pow.f64 x 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x (-.f64 x (*.f64 1/2 (pow.f64 x 2)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 x (*.f64 1/2 (pow.f64 x 2)))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (-.f64 x (/.f64 x -2)) (-.f64 x (*.f64 1/2 (pow.f64 x 2)))) (/.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (pow.f64 x 2) 4) (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4))) (/.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 x 2) (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4))) (/.f64 (pow.f64 x 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x (-.f64 (/.f64 x 2) (/.f64 (pow.f64 x 2) -4))) 2) (/.f64 (-.f64 (/.f64 x -2) (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (+.f64 x (pow.f64 x 2)) 2)) 2) (/.f64 (+.f64 (/.f64 x -2) (-.f64 (/.f64 (pow.f64 x 2) -4) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 3) 2) 2) (/.f64 (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 3) 4) (/.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 2))) (-.f64 (*.f64 (pow.f64 x 2) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x x) (-.f64 (*.f64 (pow.f64 x 2) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))) (-.f64 (/.f64 x -2) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x 2) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))) (-.f64 (/.f64 (pow.f64 x 2) -4) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x (+.f64 x (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 x 4) (*.f64 (pow.f64 x 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x 4) (*.f64 (pow.f64 x 2) -2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 4) (*.f64 (pow.f64 x 2) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 2 (*.f64 x 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4) (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x))))))

simplify687.0ms (0.9%)

Algorithm
egg-herbie
Rules
1198×rational_best-simplify-3
1072×rational_best-simplify-1
880×rational_best-simplify-108
730×rational_best-simplify-85
450×rational_best-simplify-63
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01611277
14191277
210321269
339531253
472601253
Stop Event
node limit
Counts
61 → 71
Calls
Call 1
Inputs
x
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(-.f64 x (+.f64 (neg.f64 x) (-.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 x 2) -1/2) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(-.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 0)
(-.f64 0 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x))
(-.f64 0 (+.f64 (neg.f64 (pow.f64 x 2)) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(-.f64 0 (+.f64 (*.f64 x -2) (-.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (+.f64 x x) (-.f64 x (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (-.f64 (/.f64 x 2) (/.f64 (pow.f64 x 2) -4)) (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4)))
(-.f64 (/.f64 (pow.f64 x 2) 4) (-.f64 (/.f64 (pow.f64 x 2) -4) x))
(-.f64 (/.f64 (pow.f64 x 2) 4) (neg.f64 (-.f64 x (/.f64 (pow.f64 x 2) -4))))
(-.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x) x) 2))
(-.f64 (/.f64 x 2) (/.f64 (-.f64 (neg.f64 (pow.f64 x 2)) x) 2))
(-.f64 (/.f64 x 2) (neg.f64 (/.f64 (+.f64 x (pow.f64 x 2)) 2)))
(-.f64 (/.f64 x 2) (/.f64 (-.f64 0 (+.f64 x (pow.f64 x 2))) 2))
(-.f64 (-.f64 x (/.f64 x -2)) (+.f64 (/.f64 x -2) (-.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2) (+.f64 (/.f64 (pow.f64 x 2) -4) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(-.f64 (-.f64 x (/.f64 (pow.f64 x 2) -4)) (/.f64 (pow.f64 x 2) -4))
(-.f64 (/.f64 (+.f64 x (pow.f64 x 2)) 2) (/.f64 x -2))
(-.f64 (+.f64 (-.f64 (/.f64 x 2) (/.f64 (pow.f64 x 2) -4)) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))) (-.f64 0 (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))))
(-.f64 (+.f64 (/.f64 x 2) (/.f64 x 4)) (-.f64 (*.f64 (pow.f64 x 2) -1/2) (/.f64 x 4)))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 8)) (-.f64 (neg.f64 x) (/.f64 (pow.f64 x 2) 8)))
(-.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (*.f64 (pow.f64 x 2) -1/2))
(-.f64 (-.f64 0 (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (neg.f64 (pow.f64 x 2)))
(-.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (/.f64 (pow.f64 x 2) -4))
(-.f64 (-.f64 x (-.f64 x (*.f64 1/2 (pow.f64 x 2)))) (neg.f64 x))
(-.f64 (-.f64 0 (-.f64 x (*.f64 1/2 (pow.f64 x 2)))) (*.f64 x -2))
(-.f64 (-.f64 (-.f64 x (/.f64 x -2)) (-.f64 x (*.f64 1/2 (pow.f64 x 2)))) (/.f64 x -2))
(-.f64 (-.f64 (/.f64 (pow.f64 x 2) 4) (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4))) (/.f64 x -2))
(-.f64 (-.f64 (/.f64 x 2) (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4))) (/.f64 (pow.f64 x 2) -4))
(-.f64 (/.f64 (+.f64 x (-.f64 (/.f64 x 2) (/.f64 (pow.f64 x 2) -4))) 2) (/.f64 (-.f64 (/.f64 x -2) (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2)) 2))
(-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (+.f64 x (pow.f64 x 2)) 2)) 2) (/.f64 (+.f64 (/.f64 x -2) (-.f64 (/.f64 (pow.f64 x 2) -4) x)) 2))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 3) 2) 2) (/.f64 (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4)) 2))
(-.f64 (/.f64 (*.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 3) 4) (/.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x) 4))
(-.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 2))) (-.f64 (*.f64 (pow.f64 x 2) -1/2) x))
(-.f64 (-.f64 x x) (-.f64 (*.f64 (pow.f64 x 2) -1/2) x))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))) (-.f64 (/.f64 x -2) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))))
(-.f64 (+.f64 (/.f64 x 2) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))) (-.f64 (/.f64 (pow.f64 x 2) -4) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))))
(*.f64 1/2 (+.f64 x (+.f64 x (pow.f64 x 2))))
(*.f64 2 (*.f64 1/2 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1)
(*.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 1/2)
(*.f64 1/4 (-.f64 (*.f64 x 4) (*.f64 (pow.f64 x 2) -2)))
(*.f64 (-.f64 (*.f64 x 4) (*.f64 (pow.f64 x 2) -2)) 1/4)
(*.f64 1/8 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4))
(*.f64 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4) 1/8)
(*.f64 (*.f64 1/2 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) 2)
(/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1)
(/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2)
(/.f64 (-.f64 (*.f64 x 4) (*.f64 (pow.f64 x 2) -2)) 4)
(/.f64 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4) 8)
(/.f64 (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 2 (*.f64 x 4))) 8)
(/.f64 (+.f64 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4) (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4)) 16)
(pow.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1)
(neg.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x))
Outputs
x
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 x (+.f64 (neg.f64 x) (-.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 x 2) -1/2) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 0)
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 0 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 0 (+.f64 (neg.f64 (pow.f64 x 2)) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 0 (+.f64 (*.f64 x -2) (-.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 x x) (-.f64 x (*.f64 1/2 (pow.f64 x 2))))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (-.f64 (/.f64 x 2) (/.f64 (pow.f64 x 2) -4)) (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4)))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (/.f64 (pow.f64 x 2) 4) (-.f64 (/.f64 (pow.f64 x 2) -4) x))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (/.f64 (pow.f64 x 2) 4) (neg.f64 (-.f64 x (/.f64 (pow.f64 x 2) -4))))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x) x) 2))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (/.f64 x 2) (/.f64 (-.f64 (neg.f64 (pow.f64 x 2)) x) 2))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (/.f64 x 2) (neg.f64 (/.f64 (+.f64 x (pow.f64 x 2)) 2)))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (/.f64 x 2) (/.f64 (-.f64 0 (+.f64 x (pow.f64 x 2))) 2))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (-.f64 x (/.f64 x -2)) (+.f64 (/.f64 x -2) (-.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2) (+.f64 (/.f64 (pow.f64 x 2) -4) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (-.f64 x (/.f64 (pow.f64 x 2) -4)) (/.f64 (pow.f64 x 2) -4))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (/.f64 (+.f64 x (pow.f64 x 2)) 2) (/.f64 x -2))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (-.f64 (/.f64 x 2) (/.f64 (pow.f64 x 2) -4)) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))) (-.f64 0 (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 x 2) (/.f64 x 4)) (-.f64 (*.f64 (pow.f64 x 2) -1/2) (/.f64 x 4)))
(-.f64 (/.f64 x 4) (-.f64 (*.f64 (pow.f64 x 2) -1/2) (+.f64 (/.f64 x 2) (/.f64 x 4))))
(-.f64 (/.f64 x 4) (+.f64 (*.f64 (+.f64 x (pow.f64 x 2)) -1/2) (/.f64 x -4)))
(+.f64 (/.f64 x 4) (-.f64 (/.f64 x 4) (*.f64 -1/2 (+.f64 x (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 8)) (-.f64 (neg.f64 x) (/.f64 (pow.f64 x 2) 8)))
(-.f64 (/.f64 (pow.f64 x 2) 8) (-.f64 (neg.f64 x) (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 8))))
(-.f64 x (-.f64 (neg.f64 (/.f64 (pow.f64 x 2) 8)) (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 8))))
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 4) (-.f64 (neg.f64 x) (/.f64 (pow.f64 x 2) 8)))
(-.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (*.f64 (pow.f64 x 2) -1/2))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (-.f64 0 (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (neg.f64 (pow.f64 x 2)))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (/.f64 (pow.f64 x 2) -4))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (-.f64 x (-.f64 x (*.f64 1/2 (pow.f64 x 2)))) (neg.f64 x))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (-.f64 0 (-.f64 x (*.f64 1/2 (pow.f64 x 2)))) (*.f64 x -2))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (-.f64 (-.f64 x (/.f64 x -2)) (-.f64 x (*.f64 1/2 (pow.f64 x 2)))) (/.f64 x -2))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (-.f64 (/.f64 (pow.f64 x 2) 4) (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4))) (/.f64 x -2))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (-.f64 (/.f64 x 2) (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4))) (/.f64 (pow.f64 x 2) -4))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (/.f64 (+.f64 x (-.f64 (/.f64 x 2) (/.f64 (pow.f64 x 2) -4))) 2) (/.f64 (-.f64 (/.f64 x -2) (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2)) 2))
(/.f64 (-.f64 (+.f64 x (-.f64 (/.f64 x 2) (/.f64 (pow.f64 x 2) -4))) (-.f64 (/.f64 x -2) (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2))) 2)
(-.f64 (/.f64 (+.f64 x (-.f64 (/.f64 x 2) (/.f64 (pow.f64 x 2) -4))) 2) (-.f64 (/.f64 x -4) (/.f64 (*.f64 (pow.f64 x 2) 3/2) 4)))
(-.f64 (+.f64 (/.f64 x 2) (/.f64 (+.f64 (pow.f64 x 2) (+.f64 x x)) 8)) (/.f64 (-.f64 (neg.f64 x) (*.f64 (pow.f64 x 2) 3/2)) 4))
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 4) (+.f64 (*.f64 (+.f64 (pow.f64 x 2) (+.f64 x x)) -1/8) (*.f64 3 (*.f64 x -1/4))))
(-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (+.f64 x (pow.f64 x 2)) 2)) 2) (/.f64 (+.f64 (/.f64 x -2) (-.f64 (/.f64 (pow.f64 x 2) -4) x)) 2))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 3) 2) 2) (/.f64 (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4)) 2))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (/.f64 (*.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 3) 4) (/.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x) 4))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 2))) (-.f64 (*.f64 (pow.f64 x 2) -1/2) x))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (-.f64 x x) (-.f64 (*.f64 (pow.f64 x 2) -1/2) x))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))) (-.f64 (/.f64 x -2) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 x 2) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))) (-.f64 (/.f64 (pow.f64 x 2) -4) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (+.f64 x (+.f64 x (pow.f64 x 2))))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(*.f64 2 (*.f64 1/2 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(*.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1)
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 1/2)
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/4 (-.f64 (*.f64 x 4) (*.f64 (pow.f64 x 2) -2)))
(*.f64 (-.f64 (*.f64 x 4) (*.f64 (pow.f64 x 2) -2)) 1/4)
(*.f64 1/4 (-.f64 (*.f64 x 4) (*.f64 (pow.f64 x 2) -2)))
(*.f64 1/8 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(*.f64 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4) 1/8)
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(*.f64 (*.f64 1/2 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) 2)
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1)
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2)
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 (-.f64 (*.f64 x 4) (*.f64 (pow.f64 x 2) -2)) 4)
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4) 8)
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 2 (*.f64 x 4))) 8)
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 (+.f64 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4) (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4)) 16)
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(pow.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1)
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(neg.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x))
(-.f64 x (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))

eval1.6s (2%)

Compiler

Compiled 6450 to 5108 computations (20.8% saved)

prune181.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3550355
Fresh011
Picked011
Done022
Total3554359
Error
0.0b
Counts
359 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
58.7b
(-.f64 (exp.f64 x) 1)
1.0b
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
0.8b
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
1.4b
x
Compiler

Compiled 29 to 22 computations (24.1% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Error
0.0b
Counts
4 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
58.7b
(-.f64 (exp.f64 x) 1)
1.0b
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
0.8b
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
1.4b
x
Compiler

Compiled 29 to 22 computations (24.1% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune19.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Error
0.0b
Counts
4 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
58.7b
(-.f64 (exp.f64 x) 1)
1.0b
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
0.8b
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
1.4b
x
Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes41.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
x
(-.f64 (exp.f64 x) 1)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
Outputs
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
Calls

3 calls:

31.0ms
x
4.0ms
(-.f64 (exp.f64 x) 1)
4.0ms
(exp.f64 x)
Results
ErrorSegmentsBranch
0.8b1x
0.8b1(-.f64 (exp.f64 x) 1)
0.8b1(exp.f64 x)
Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes272.0ms (0.4%)

Counts
3 → 1
Calls
Call 1
Inputs
x
(-.f64 (exp.f64 x) 1)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
Outputs
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
Calls

3 calls:

252.0ms
(exp.f64 x)
15.0ms
x
3.0ms
(-.f64 (exp.f64 x) 1)
Results
ErrorSegmentsBranch
1.0b1x
1.0b1(-.f64 (exp.f64 x) 1)
1.0b1(exp.f64 x)
Compiler

Compiled 23 to 16 computations (30.4% saved)

regimes37.0ms (0%)

Accuracy

Total -58.3b remaining (-4025.6%)

Threshold costs -58.3b (-4025.6%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(-.f64 (exp.f64 x) 1)
Outputs
x
Calls

3 calls:

27.0ms
(-.f64 (exp.f64 x) 1)
6.0ms
x
3.0ms
(exp.f64 x)
Results
ErrorSegmentsBranch
1.4b1x
1.4b1(-.f64 (exp.f64 x) 1)
1.4b1(exp.f64 x)
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify4.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01457
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
x
Outputs
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
x
Compiler

Compiled 24 to 18 computations (25% saved)

soundness734.0ms (1%)

Algorithm
egg-herbie
Rules
854×rational_best-simplify-1
832×rational_best-simplify-3
708×rational_best-simplify-65
682×rational_best-simplify-62
660×rational_best-simplify-50
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0133814
1278800
2614794
31825794
46567778
Stop Event
node limit
Compiler

Compiled 27 to 21 computations (22.2% saved)

end164.0ms (0.2%)

Compiler

Compiled 22 to 16 computations (27.3% saved)

Profiling

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