Details

Time bar (total: 2.5s)

analyze4.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%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 13 to 11 computations (15.4% saved)

sample1.2s (48.6%)

Results
457.0ms2053×body512valid
425.0ms4763×body128valid
163.0ms1051×body256valid
147.0ms389×body1024valid
Compiler

Compiled 26 to 22 computations (15.4% saved)

preprocess31.0ms (1.2%)

Algorithm
2×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
13×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11616
22116
32916
43916
55716
69416
712716
817016
920616
1023216
1123416
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Outputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify9.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
13×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11616
22116
32916
43916
55716
69416
712716
817016
920616
1023216
1123416
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Outputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
18.5b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶18.5b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 47 to 39 computations (17% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 x 1))
✓0.0b
(/.f64 1 (-.f64 x 1))
✓3.4b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

series7.0ms (0.3%)

Counts
3 → 36
Calls

9 calls:

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

rewrite74.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
867×prod-diff_binary64
162×expm1-udef_binary64
162×log1p-udef_binary64
130×egg-rr
101×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
119230
2296830
Stop Event
1×node limit
Counts
3 → 180
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
(/.f64 1 (-.f64 x 1))
(/.f64 1 (+.f64 x 1))
Outputs
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simplify30.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
429×associate-*l*_binary64
355×fma-neg_binary64
346×associate-/r*_binary64
286×cancel-sign-sub-inv_binary64
218×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
065575
1198543
2594540
31925537
Stop Event
1×node limit
Counts
216 → 221
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 2 (pow.f64 x 2)))
(+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 2 (*.f64 2 (pow.f64 x 2))))
(+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2)))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
-1
(neg.f64 (+.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) x)))
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 3)))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))))
1
(-.f64 1 x)
(-.f64 (+.f64 1 (pow.f64 x 2)) x)
(-.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 x (pow.f64 x 3)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
Outputs
2
(+.f64 2 (*.f64 2 (pow.f64 x 2)))
(+.f64 2 (*.f64 2 (*.f64 x x)))
(fma.f64 2 (*.f64 x x) 2)
(*.f64 2 (fma.f64 x x 1))
(+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 2 (*.f64 2 (pow.f64 x 2))))
(fma.f64 2 (pow.f64 x 4) (+.f64 2 (*.f64 2 (*.f64 x x))))
(fma.f64 2 (pow.f64 x 4) (fma.f64 2 (*.f64 x x) 2))
(*.f64 2 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(*.f64 2 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2)))))
(fma.f64 2 (pow.f64 x 4) (+.f64 2 (*.f64 2 (+.f64 (pow.f64 x 6) (*.f64 x x)))))
(fma.f64 2 (pow.f64 x 4) (fma.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 6)) 2))
(fma.f64 2 (pow.f64 x 4) (fma.f64 2 (fma.f64 x x (pow.f64 x 6)) 2))
(fma.f64 2 (fma.f64 x x (pow.f64 x 6)) (fma.f64 2 (pow.f64 x 4) 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 6))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8))))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8)))))
(-.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))) (/.f64 2 (pow.f64 x 8)))
(+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 8))))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 6))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8))))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8)))))
(-.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))) (/.f64 2 (pow.f64 x 8)))
(+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 8))))
-1
(neg.f64 (+.f64 1 x))
(+.f64 -1 (neg.f64 x))
(-.f64 -1 x)
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) x)))
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 x x))))
(-.f64 -1 (fma.f64 x x x))
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 3)))))
(+.f64 -1 (neg.f64 (+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (fma.f64 x x x) (pow.f64 x 3)))
(-.f64 -1 (*.f64 x (+.f64 x (fma.f64 x x 1))))
(*.f64 (fma.f64 x x 1) (-.f64 -1 x))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))))
1
(-.f64 1 x)
(-.f64 (+.f64 1 (pow.f64 x 2)) x)
(+.f64 1 (-.f64 (*.f64 x x) x))
(-.f64 (fma.f64 x x 1) x)
(-.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 x (pow.f64 x 3)))
(+.f64 1 (-.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3))))
(-.f64 (fma.f64 x x 1) (+.f64 x (pow.f64 x 3)))
(fma.f64 x (-.f64 x (*.f64 x x)) (-.f64 1 x))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))))

prune191.0ms (7.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2183221
Fresh000
Picked101
Done000
Total2193222
Error
0.3b
Counts
222 → 3
Alt Table
StatusErrorProgram
30.4b
(+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 8))))
17.9b
(/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1))
▶17.9b
(/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (fma.f64 x x -1))
Compiler

Compiled 5790 to 4673 computations (19.3% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 -1 (+.f64 1 x))
✓0.0b
(/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (fma.f64 x x -1))
✓2.9b
(+.f64 x (-.f64 -1 (+.f64 1 x)))

series6.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (fma.f64 x x -1))
1.0ms
x
@-inf
(/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (fma.f64 x x -1))
1.0ms
x
@0
(/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (fma.f64 x x -1))
0.0ms
x
@-inf
(-.f64 -1 (+.f64 1 x))
0.0ms
x
@inf
(-.f64 -1 (+.f64 1 x))

rewrite56.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
770×prod-diff_binary64
185×expm1-udef_binary64
185×log1p-udef_binary64
108×add-sqr-sqrt_binary64
104×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
120825
2307525
Stop Event
1×node limit
Counts
3 → 113
Calls
Call 1
Inputs
(+.f64 x (-.f64 -1 (+.f64 1 x)))
(/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (fma.f64 x x -1))
(-.f64 -1 (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x -1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 -2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 -2 x))) (/.f64 (pow.f64 (-.f64 -2 x) 2) (-.f64 x (-.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 x -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 x -1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x -2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (-.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 2) (cbrt.f64 (+.f64 x (-.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (sqrt.f64 (+.f64 x (-.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (/.f64 1 (-.f64 x (-.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (-.f64 -2 x)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 x x (*.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (+.f64 (pow.f64 (-.f64 -2 x) 2) (-.f64 (*.f64 x x) (*.f64 x (-.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (-.f64 x (-.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2))) (neg.f64 (-.f64 x (-.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x -1) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (pow.f64 (+.f64 x 1) 2)) (+.f64 (+.f64 x -1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 -2 x) 2) (*.f64 x x)) (-.f64 (-.f64 -2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (-.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (-.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (-.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (-.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 -2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (-.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 -2 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 x)) 2) (cbrt.f64 (-.f64 -2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 -2 x)) (sqrt.f64 (-.f64 -2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (-.f64 -2 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x -1) (fma.f64 x x -1)) (/.f64 (+.f64 x 1) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 -2 x)) (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (/.f64 1 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))) (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (*.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (/.f64 1 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x (-.f64 -2 x))) (/.f64 1 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x (-.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (/.f64 (+.f64 x (-.f64 -2 x)) (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x -1))) (/.f64 (+.f64 x (-.f64 -2 x)) (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 2) (sqrt.f64 (fma.f64 x x -1))) (/.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x -1) (+.f64 x (-.f64 -2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 3) (pow.f64 (fma.f64 x x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (+.f64 -1 (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 -2 x)) (pow.f64 (cbrt.f64 (-.f64 -2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -2 x)) 2) (cbrt.f64 (-.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -2 x)) (sqrt.f64 (-.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 0 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (+.f64 0 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 0 x))) (-.f64 -1 (pow.f64 (+.f64 x 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 0 x) (-.f64 1 (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 0 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (+.f64 0 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 0 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2))) (neg.f64 (+.f64 0 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -8 (pow.f64 x 3)) (+.f64 4 (+.f64 (*.f64 x x) (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 -1 (neg.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 -1 (neg.f64 x)) (+.f64 -1 (neg.f64 x))) (*.f64 -1 (+.f64 -1 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 x x)) (+.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 -1 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))) (-.f64 -1 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 -2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 -2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 -2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 -2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 -2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 -2 x)))))))

simplify34.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
678×fma-def_binary64
413×unswap-sqr_binary64
242×associate-*l*_binary64
240×associate-/r*_binary64
227×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042300
1126264
2357261
31157258
44559258
Stop Event
1×node limit
Counts
149 → 133
Calls
Call 1
Inputs
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
2
(+.f64 2 (*.f64 2 (pow.f64 x 2)))
(+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 2 (*.f64 2 (pow.f64 x 2))))
(+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2)))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
-2
(neg.f64 (+.f64 2 x))
(neg.f64 (+.f64 2 x))
(neg.f64 (+.f64 2 x))
(*.f64 -1 x)
(neg.f64 (+.f64 2 x))
(neg.f64 (+.f64 2 x))
(neg.f64 (+.f64 2 x))
(*.f64 -1 x)
(neg.f64 (+.f64 2 x))
(neg.f64 (+.f64 2 x))
(neg.f64 (+.f64 2 x))
Outputs
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
2
(+.f64 2 (*.f64 2 (pow.f64 x 2)))
(+.f64 2 (*.f64 2 (*.f64 x x)))
(fma.f64 2 (*.f64 x x) 2)
(*.f64 2 (fma.f64 x x 1))
(+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 2 (*.f64 2 (pow.f64 x 2))))
(fma.f64 2 (pow.f64 x 4) (+.f64 2 (*.f64 2 (*.f64 x x))))
(fma.f64 2 (pow.f64 x 4) (fma.f64 2 (*.f64 x x) 2))
(*.f64 2 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(fma.f64 2 (fma.f64 x x (pow.f64 x 4)) 2)
(+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2)))))
(fma.f64 2 (pow.f64 x 4) (+.f64 2 (*.f64 2 (+.f64 (pow.f64 x 6) (*.f64 x x)))))
(fma.f64 2 (pow.f64 x 4) (fma.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 6)) 2))
(fma.f64 2 (fma.f64 x x (pow.f64 x 6)) (fma.f64 2 (pow.f64 x 4) 2))
(fma.f64 2 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) 2)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 6))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8))))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 8)))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8)))))
(+.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (pow.f64 x 8))))
(+.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 4))))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 6))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8))))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 8)))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8)))))
(+.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (pow.f64 x 8))))
(+.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 4))))
-2
(neg.f64 (+.f64 2 x))
(+.f64 -2 (neg.f64 x))
(-.f64 -2 x)
(neg.f64 (+.f64 2 x))
(+.f64 -2 (neg.f64 x))
(-.f64 -2 x)
(neg.f64 (+.f64 2 x))
(+.f64 -2 (neg.f64 x))
(-.f64 -2 x)
(*.f64 -1 x)
(neg.f64 x)
(neg.f64 (+.f64 2 x))
(+.f64 -2 (neg.f64 x))
(-.f64 -2 x)
(neg.f64 (+.f64 2 x))
(+.f64 -2 (neg.f64 x))
(-.f64 -2 x)
(neg.f64 (+.f64 2 x))
(+.f64 -2 (neg.f64 x))
(-.f64 -2 x)
(*.f64 -1 x)
(neg.f64 x)
(neg.f64 (+.f64 2 x))
(+.f64 -2 (neg.f64 x))
(-.f64 -2 x)
(neg.f64 (+.f64 2 x))
(+.f64 -2 (neg.f64 x))
(-.f64 -2 x)
(neg.f64 (+.f64 2 x))
(+.f64 -2 (neg.f64 x))
(-.f64 -2 x)

prune78.0ms (3.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1312133
Fresh112
Picked101
Done000
Total1333136
Error
0.3b
Counts
136 → 3
Alt Table
StatusErrorProgram
17.9b
(/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1))
18.0b
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) 3))
▶0.3b
(/.f64 -2 (fma.f64 x x -1))
Compiler

Compiled 2230 to 1544 computations (30.8% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 -2 (fma.f64 x x -1))

series3.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 -2 (fma.f64 x x -1))
1.0ms
x
@-inf
(/.f64 -2 (fma.f64 x x -1))
1.0ms
x
@0
(/.f64 -2 (fma.f64 x x -1))

rewrite34.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
540×pow1_binary64
502×add-log-exp_binary64
502×log1p-expm1-u_binary64
502×expm1-log1p-u_binary64
493×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11228
213688
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(/.f64 -2 (fma.f64 x x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -1) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (fma.f64 x x -1))))))))

simplify32.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
662×fma-def_binary64
413×unswap-sqr_binary64
236×associate-*l*_binary64
235×associate-/r*_binary64
220×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038227
1116209
2340206
31122203
44483203
Stop Event
1×node limit
Counts
32 → 35
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 2 (pow.f64 x 2)))
(+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 2 (*.f64 2 (pow.f64 x 2))))
(+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2)))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
Outputs
2
(+.f64 2 (*.f64 2 (pow.f64 x 2)))
(+.f64 2 (*.f64 2 (*.f64 x x)))
(fma.f64 2 (*.f64 x x) 2)
(*.f64 2 (fma.f64 x x 1))
(+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 2 (*.f64 2 (pow.f64 x 2))))
(fma.f64 2 (pow.f64 x 4) (+.f64 2 (*.f64 2 (*.f64 x x))))
(fma.f64 2 (pow.f64 x 4) (fma.f64 2 (*.f64 x x) 2))
(*.f64 2 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(fma.f64 2 (fma.f64 x x (pow.f64 x 4)) 2)
(+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2)))))
(fma.f64 2 (pow.f64 x 4) (+.f64 2 (*.f64 2 (+.f64 (pow.f64 x 6) (*.f64 x x)))))
(fma.f64 2 (pow.f64 x 4) (fma.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 6)) 2))
(fma.f64 2 (fma.f64 x x (pow.f64 x 6)) (fma.f64 2 (pow.f64 x 4) 2))
(fma.f64 2 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) 2)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 6))))
(+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (pow.f64 x 6))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8))))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8)))))
(-.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8)))))
(+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 8))))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 6))))
(+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (pow.f64 x 6))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8))))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8)))))
(-.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8)))))
(+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 8))))

prune23.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New33235
Fresh112
Picked011
Done000
Total34438
Error
0.3b
Counts
38 → 4
Alt Table
StatusErrorProgram
▶1.4b
(*.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2))
17.9b
(/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1))
12.7b
(cbrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3))
✓0.3b
(/.f64 -2 (fma.f64 x x -1))
Compiler

Compiled 491 to 381 computations (22.4% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2))
✓0.2b
(pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2)
0.3b
(/.f64 -2 (fma.f64 x x -1))
✓13.1b
(cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))

series228.0ms (9.2%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
78.0ms
x
@0
(pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2)
41.0ms
x
@0
(cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))
30.0ms
x
@-inf
(pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2)
29.0ms
x
@inf
(pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2)
11.0ms
x
@inf
(*.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2))

rewrite43.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
731×pow1_binary64
680×log1p-expm1-u_binary64
680×expm1-log1p-u_binary64
85×add-sqr-sqrt_binary64
79×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
120431
2197031
Stop Event
1×node limit
Counts
3 → 76
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2)
(*.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -2) (cbrt.f64 (/.f64 1 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -2) (pow.f64 (/.f64 1 (fma.f64 x x -1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -2) (/.f64 1 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 1/6) (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))) 1/3) (pow.f64 (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 2) (cbrt.f64 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 -2) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 -2)) (neg.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (fma.f64 x x -1)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -2 (fma.f64 x x -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))) (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 1/6) (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 4) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) (cbrt.f64 -2)) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 4 (pow.f64 (fma.f64 x x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -2 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 (fma.f64 x x -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (neg.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (fma.f64 x x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (fma.f64 x x -1) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 -2) (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2)) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2) (cbrt.f64 -2)) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -1) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -2 (fma.f64 x x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (fma.f64 x x -1))))))))

simplify26.0ms (1%)

Algorithm
1×egg-herbie
Rules
479×times-frac_binary64
366×fma-def_binary64
303×associate-/l*_binary64
292×associate-/r*_binary64
279×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0101679
1311657
21084645
Stop Event
1×node limit
Counts
96 → 106
Calls
Call 1
Inputs
(*.f64 (cbrt.f64 -2) (cbrt.f64 -1))
(-.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 -1)) (*.f64 1/3 (/.f64 (*.f64 (cbrt.f64 -2) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))))
(-.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 -1)) (+.f64 (*.f64 2/9 (/.f64 (*.f64 (cbrt.f64 -2) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 1/3 (/.f64 (*.f64 (cbrt.f64 -2) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2)))))
(-.f64 (+.f64 (*.f64 1/81 (/.f64 (*.f64 (cbrt.f64 -2) (pow.f64 x 6)) (pow.f64 (cbrt.f64 -1) 8))) (*.f64 (cbrt.f64 -2) (cbrt.f64 -1))) (+.f64 (*.f64 5/27 (/.f64 (*.f64 (cbrt.f64 -2) (pow.f64 x 6)) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 2/9 (/.f64 (*.f64 (cbrt.f64 -2) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 1/3 (/.f64 (*.f64 (cbrt.f64 -2) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))))))
(*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 (cbrt.f64 -1) 2))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 2)) (cbrt.f64 -1))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 4))) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 4/9 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 4)) (cbrt.f64 -1))) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 2)) (cbrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 4))) (+.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 4/27 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 6)) (pow.f64 (cbrt.f64 -1) 4))) (*.f64 2/81 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 6)) (pow.f64 (cbrt.f64 -1) 7)))))) (+.f64 (*.f64 4/9 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 4)) (cbrt.f64 -1))) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 2)) (cbrt.f64 -1))) (*.f64 10/27 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 6)) (cbrt.f64 -1))))))
2
(+.f64 2 (*.f64 2 (pow.f64 x 2)))
(+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 2 (*.f64 2 (pow.f64 x 2))))
(+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2)))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
Outputs
(*.f64 (cbrt.f64 -2) (cbrt.f64 -1))
(-.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 -1)) (*.f64 1/3 (/.f64 (*.f64 (cbrt.f64 -2) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 -1)) (*.f64 -1/3 (/.f64 (cbrt.f64 -2) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 x x)))))
(fma.f64 (cbrt.f64 -2) (cbrt.f64 -1) (*.f64 (/.f64 (*.f64 x x) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 -2))) -1/3))
(fma.f64 (cbrt.f64 -2) (cbrt.f64 -1) (*.f64 (/.f64 x (/.f64 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 -2)) x)) -1/3))
(-.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 -1)) (+.f64 (*.f64 2/9 (/.f64 (*.f64 (cbrt.f64 -2) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 1/3 (/.f64 (*.f64 (cbrt.f64 -2) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2)))))
(-.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 -1)) (fma.f64 2/9 (/.f64 (cbrt.f64 -2) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 4))) (*.f64 1/3 (/.f64 (cbrt.f64 -2) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 x x))))))
(-.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 -1)) (fma.f64 1/3 (/.f64 (*.f64 x x) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 -2))) (*.f64 2/9 (/.f64 (cbrt.f64 -2) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 4))))))
(fma.f64 (cbrt.f64 -2) (cbrt.f64 -1) (fma.f64 (/.f64 x (/.f64 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 -2)) x)) -1/3 (*.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -2)) -2/9)))
(-.f64 (+.f64 (*.f64 1/81 (/.f64 (*.f64 (cbrt.f64 -2) (pow.f64 x 6)) (pow.f64 (cbrt.f64 -1) 8))) (*.f64 (cbrt.f64 -2) (cbrt.f64 -1))) (+.f64 (*.f64 5/27 (/.f64 (*.f64 (cbrt.f64 -2) (pow.f64 x 6)) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 2/9 (/.f64 (*.f64 (cbrt.f64 -2) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 1/3 (/.f64 (*.f64 (cbrt.f64 -2) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))))))
(-.f64 (fma.f64 1/81 (/.f64 (cbrt.f64 -2) (/.f64 (pow.f64 (cbrt.f64 -1) 8) (pow.f64 x 6))) (*.f64 (cbrt.f64 -2) (cbrt.f64 -1))) (fma.f64 5/27 (/.f64 (*.f64 (cbrt.f64 -2) (pow.f64 x 6)) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 2/9 (/.f64 (cbrt.f64 -2) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 4))) (*.f64 1/3 (/.f64 (cbrt.f64 -2) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 x x)))))))
(fma.f64 1/81 (/.f64 (cbrt.f64 -2) (/.f64 (pow.f64 (cbrt.f64 -1) 8) (pow.f64 x 6))) (-.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 -1)) (fma.f64 5/27 (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 -2))) (fma.f64 1/3 (/.f64 (*.f64 x x) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 -2))) (*.f64 2/9 (/.f64 (cbrt.f64 -2) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 4))))))))
(fma.f64 (cbrt.f64 -2) (cbrt.f64 -1) (-.f64 (fma.f64 1/81 (/.f64 (cbrt.f64 -2) (/.f64 (pow.f64 (cbrt.f64 -1) 8) (pow.f64 x 6))) (*.f64 (/.f64 (cbrt.f64 -2) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 6))) -5/27)) (fma.f64 1/3 (/.f64 x (/.f64 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 -2)) x)) (*.f64 2/9 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -2))))))
(*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -2) 2))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 2)) (cbrt.f64 -1))))
(+.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -2) 2)) (*.f64 -2/3 (/.f64 (pow.f64 (cbrt.f64 -2) 2) (/.f64 (cbrt.f64 -1) (*.f64 x x)))))
(fma.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -2) 2) (*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 -1)) (*.f64 x x)) -2/3))
(fma.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -2) 2) (*.f64 (*.f64 (/.f64 (*.f64 x x) (cbrt.f64 -1)) (pow.f64 (cbrt.f64 -2) 2)) -2/3))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 4))) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 4/9 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 4)) (cbrt.f64 -1))) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 2)) (cbrt.f64 -1)))))
(-.f64 (fma.f64 1/9 (/.f64 (*.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -2) 2)) (pow.f64 (cbrt.f64 -1) 4)) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -2) 2))) (fma.f64 4/9 (/.f64 (pow.f64 (cbrt.f64 -2) 2) (/.f64 (cbrt.f64 -1) (pow.f64 x 4))) (*.f64 2/3 (/.f64 (pow.f64 (cbrt.f64 -2) 2) (/.f64 (cbrt.f64 -1) (*.f64 x x))))))
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -2) 2) (*.f64 1/9 (/.f64 (*.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -2) 2)) (pow.f64 (cbrt.f64 -1) 4)))) (fma.f64 2/3 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 -1)) (*.f64 x x)) (*.f64 4/9 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 -1)) (pow.f64 x 4)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -2) 2) (*.f64 (*.f64 (/.f64 (pow.f64 x 4) (cbrt.f64 -1)) (pow.f64 (cbrt.f64 -2) 2)) -1/9)) (fma.f64 (*.f64 (/.f64 (*.f64 x x) (cbrt.f64 -1)) (pow.f64 (cbrt.f64 -2) 2)) -2/3 (/.f64 (*.f64 -4/9 (pow.f64 x 4)) (/.f64 (cbrt.f64 -1) (pow.f64 (cbrt.f64 -2) 2)))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 4))) (+.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 4/27 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 6)) (pow.f64 (cbrt.f64 -1) 4))) (*.f64 2/81 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 6)) (pow.f64 (cbrt.f64 -1) 7)))))) (+.f64 (*.f64 4/9 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 4)) (cbrt.f64 -1))) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 2)) (cbrt.f64 -1))) (*.f64 10/27 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 6)) (cbrt.f64 -1))))))
(-.f64 (fma.f64 1/9 (/.f64 (*.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -2) 2)) (pow.f64 (cbrt.f64 -1) 4)) (fma.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 (cbrt.f64 -1) 2) (fma.f64 4/27 (/.f64 (*.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -2) 2)) (pow.f64 (cbrt.f64 -1) 4)) (*.f64 2/81 (/.f64 (pow.f64 (cbrt.f64 -2) 2) (/.f64 (pow.f64 (cbrt.f64 -1) 7) (pow.f64 x 6))))))) (fma.f64 4/9 (/.f64 (pow.f64 (cbrt.f64 -2) 2) (/.f64 (cbrt.f64 -1) (pow.f64 x 4))) (fma.f64 2/3 (/.f64 (pow.f64 (cbrt.f64 -2) 2) (/.f64 (cbrt.f64 -1) (*.f64 x x))) (*.f64 10/27 (/.f64 (pow.f64 (cbrt.f64 -2) 2) (/.f64 (cbrt.f64 -1) (pow.f64 x 6)))))))
(-.f64 (fma.f64 1/9 (/.f64 (*.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -2) 2)) (pow.f64 (cbrt.f64 -1) 4)) (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -2) 2) (fma.f64 4/27 (/.f64 (*.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -2) 2)) (pow.f64 (cbrt.f64 -1) 4)) (*.f64 2/81 (/.f64 (pow.f64 (cbrt.f64 -2) 2) (/.f64 (pow.f64 (cbrt.f64 -1) 7) (pow.f64 x 6))))))) (fma.f64 4/9 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 -1)) (pow.f64 x 4)) (fma.f64 2/3 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 -1)) (*.f64 x x)) (*.f64 10/27 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 -1)) (pow.f64 x 6))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -2) 2) (*.f64 (*.f64 (/.f64 (pow.f64 x 4) (cbrt.f64 -1)) (pow.f64 (cbrt.f64 -2) 2)) -1/9)) (-.f64 (fma.f64 2/81 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 (cbrt.f64 -1) 7)) (pow.f64 x 6)) (*.f64 (*.f64 (/.f64 (pow.f64 x 6) (cbrt.f64 -1)) (pow.f64 (cbrt.f64 -2) 2)) -4/27)) (fma.f64 2/3 (*.f64 (/.f64 (*.f64 x x) (cbrt.f64 -1)) (pow.f64 (cbrt.f64 -2) 2)) (fma.f64 4/9 (*.f64 (/.f64 (pow.f64 x 4) (cbrt.f64 -1)) (pow.f64 (cbrt.f64 -2) 2)) (*.f64 10/27 (*.f64 (/.f64 (pow.f64 x 6) (cbrt.f64 -1)) (pow.f64 (cbrt.f64 -2) 2)))))))
2
(+.f64 2 (*.f64 2 (pow.f64 x 2)))
(+.f64 2 (*.f64 2 (*.f64 x x)))
(fma.f64 2 (*.f64 x x) 2)
(fma.f64 (*.f64 2 x) x 2)
(+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 2 (*.f64 2 (pow.f64 x 2))))
(fma.f64 2 (pow.f64 x 4) (+.f64 2 (*.f64 2 (*.f64 x x))))
(fma.f64 2 (pow.f64 x 4) (fma.f64 2 (*.f64 x x) 2))
(*.f64 2 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2)))))
(fma.f64 2 (pow.f64 x 4) (+.f64 2 (*.f64 2 (+.f64 (pow.f64 x 6) (*.f64 x x)))))
(fma.f64 2 (pow.f64 x 4) (fma.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 6)) 2))
(fma.f64 2 (pow.f64 x 4) (fma.f64 2 (fma.f64 x x (pow.f64 x 6)) 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8))))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8)))))
(-.f64 (+.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 6))) (/.f64 2 (pow.f64 x 8)))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8))))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8)))))
(-.f64 (+.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 6))) (/.f64 2 (pow.f64 x 8)))

prune172.0ms (6.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2113214
Fresh112
Picked101
Done011
Total2135218
Error
0.3b
Counts
218 → 5
Alt Table
StatusErrorProgram
1.4b
(*.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) (pow.f64 (*.f64 (cbrt.f64 -2) (/.f64 1 (cbrt.f64 (fma.f64 x x -1)))) 2))
17.9b
(/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1))
30.3b
(/.f64 (/.f64 -2 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
1.3b
(*.f64 (/.f64 (cbrt.f64 -2) (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2))
✓0.3b
(/.f64 -2 (fma.f64 x x -1))
Compiler

Compiled 4879 to 3967 computations (18.7% saved)

regimes90.0ms (3.6%)

Accuracy

Total 0.1b remaining (16.2%)

Threshold costs 0.1b (16.2%)

Counts
51 → 1
Compiler

Compiled 1636 to 1304 computations (20.3% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 -2 (fma.f64 x x -1))
Outputs
(/.f64 -2 (fma.f64 x x -1))

end75.0ms (3%)

Stop Event
1×fuel
Compiler

Compiled 91 to 69 computations (24.2% saved)

Profiling

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