Details

Time bar (total: 4.4s)

analyze4.0ms (0.1%)

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
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.3s (30.2%)

Results
659.0ms5690×body256valid
357.0ms2111×body512valid
293.0ms455×body1024valid

preprocess23.0ms (0.5%)

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
712816
817416
921016
1023616
1123816
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 13 to 11 computations (15.4% saved)

simplify13.0ms (0.3%)

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
712816
817416
921016
1023616
1123816
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)))

eval1.0ms (0%)

Compiler

Compiled 23 to 19 computations (17.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
17.5b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶17.5b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (-.f64 x 1))
✓0.0b
(/.f64 1 (+.f64 x 1))
✓4.6b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 30 to 23 computations (23.3% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite93.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
867×prod-diff_binary64
424×log-prod_binary64
364×fma-def_binary64
239×pow2_binary64
225×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
119230
2298530
Stop Event
1×node limit
Counts
3 → 212
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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simplify54.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
604×fma-neg_binary64
493×associate-/r*_binary64
460×associate-*l*_binary64
421×times-frac_binary64
363×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060581
1177552
2560540
32048537
Stop Event
1×node limit
Counts
248 → 254
Calls
Call 1
Inputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(/.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 6))) (+.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.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 6))) (+.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.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 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
Outputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(fma.f64 2 (*.f64 x x) 2)
(*.f64 2 (fma.f64 x x 1))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4)))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 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 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 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 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.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)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 x (*.f64 x x)))
(+.f64 (*.f64 x x) (-.f64 1 x))
(fma.f64 x x (-.f64 1 x))
(-.f64 (fma.f64 x x 1) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x))))
(-.f64 (+.f64 (*.f64 x x) (-.f64 1 x)) (pow.f64 x 3))
(-.f64 (fma.f64 x x (-.f64 1 x)) (pow.f64 x 3))
(+.f64 1 (*.f64 x (-.f64 x (fma.f64 x x 1))))
(/.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 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.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 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))))
(/.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 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.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 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -1))
(fma.f64 -1 (fma.f64 x x x) -1)
(-.f64 -1 (fma.f64 x x x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 -1 (+.f64 (*.f64 x x) x))) -1)
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (fma.f64 x x x) -1))
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3))
(*.f64 (fma.f64 x x 1) (-.f64 -1 x))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.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 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.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 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))

eval151.0ms (3.4%)

Compiler

Compiled 5841 to 4737 computations (18.9% saved)

prune67.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2495254
Fresh000
Picked011
Done000
Total2496255
Error
0.2b
Counts
255 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶33.5b
(-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))
▶30.7b
(/.f64 -2 (*.f64 x x))
▶33.6b
(-.f64 1 (/.f64 1 (-.f64 x 1)))
✓17.5b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
▶16.8b
(/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1))
33.4b
2
Compiler

Compiled 54 to 43 computations (20.4% saved)

localize17.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 18 to 14 computations (22.2% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite82.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
726×pow1_binary64
680×add-log-exp_binary64
679×log1p-expm1-u_binary64
679×expm1-log1p-u_binary64
667×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
113810
2189910
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(-.f64 1 (/.f64 1 (-.f64 x 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 -1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 -1 (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 -1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 -1 (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 (+.f64 x -1)))) (sqrt.f64 (+.f64 1 (/.f64 -1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 1 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))) (-.f64 1 (pow.f64 (+.f64 x -1) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) (-.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 (+.f64 1 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x -1) -2)) (+.f64 1 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -1) -3))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -1) -2))) (neg.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 -1 (+.f64 x -1)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 -1 (+.f64 x -1))) (/.f64 -1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 -1 (+.f64 x -1)))) (-.f64 1 (/.f64 -1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 -1 (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 -1 (+.f64 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 (+.f64 x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 -1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 -1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 -1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 -1 (+.f64 x -1))))))))

simplify60.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
612×associate-/l*_binary64
538×fma-neg_binary64
536×unswap-sqr_binary64
509×fma-def_binary64
400×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
022129
159125
2147123
3374123
41132123
53479119
Stop Event
1×node limit
Counts
40 → 41
Calls
Call 1
Inputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (pow.f64 x 2) x))
(+.f64 2 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
Outputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (pow.f64 x 2) x))
(+.f64 2 (+.f64 x (*.f64 x x)))
(+.f64 2 (fma.f64 x x x))
(+.f64 x (fma.f64 x x 2))
(+.f64 2 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)))
(+.f64 2 (+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3))))
(+.f64 2 (+.f64 x (*.f64 x (fma.f64 x x x))))
(fma.f64 x (fma.f64 x x x) (+.f64 2 x))
(+.f64 2 (fma.f64 x (fma.f64 x x x) x))
(fma.f64 x (+.f64 x (fma.f64 x x 1)) 2)
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (-.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 -1 x))
(+.f64 1 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)))
(+.f64 (/.f64 -1 x) (+.f64 1 (/.f64 (/.f64 -1 x) x)))
(-.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (-.f64 1 (/.f64 1 x)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 x) (+.f64 1 (/.f64 (/.f64 -1 x) x))) (/.f64 -1 (pow.f64 x 3)))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) -1) (+.f64 1 (/.f64 -1 x)))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (-.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 -1 x))
(+.f64 1 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)))
(+.f64 (/.f64 -1 x) (+.f64 1 (/.f64 (/.f64 -1 x) x)))
(-.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (-.f64 1 (/.f64 1 x)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 x) (+.f64 1 (/.f64 (/.f64 -1 x) x))) (/.f64 -1 (pow.f64 x 3)))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) -1) (+.f64 1 (/.f64 -1 x)))

localize23.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiled 23 to 17 computations (26.1% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite181.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
953×prod-diff_binary64
620×unpow-prod-down_binary64
371×log-prod_binary64
352×fma-def_binary64
218×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
117013
2264313
Stop Event
1×node limit
Counts
1 → 187
Calls
Call 1
Inputs
(-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))
Outputs
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(+.f64 (+.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (+.f64 x -1) -2)) (/.f64 (+.f64 x -1) (+.f64 x -1)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (+.f64 x -1) -2)) (/.f64 (+.f64 x -1) (+.f64 x -1)))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (fma.f64 x x x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 (+.f64 x -1) (/.f64 1 (+.f64 x -1)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 (+.f64 x -1) (/.f64 1 (+.f64 x -1)))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (+.f64 x -1) -1/2)) (-.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (+.f64 x -1) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (+.f64 x -1) -1/2)) (-.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (+.f64 x -1) -1/2)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2))) (cbrt.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x) (+.f64 x -1))))))

simplify84.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
865×fma-def_binary64
625×distribute-rgt-out_binary64
514×associate-*l*_binary64
454×distribute-lft-out_binary64
429×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
023124
162106
2165102
3436102
41501100
54922100
Stop Event
1×node limit
Counts
199 → 202
Calls
Call 1
Inputs
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(+.f64 2 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (pow.f64 x 3))))
(*.f64 -1 x)
(+.f64 1 (*.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(*.f64 -1 x)
(+.f64 1 (*.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
Outputs
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (*.f64 x x))
(fma.f64 x x 2)
(+.f64 2 (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(+.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 3)))
(+.f64 2 (fma.f64 x x (pow.f64 x 3)))
(fma.f64 x (fma.f64 x x x) 2)
(+.f64 2 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (pow.f64 x 3))))
(+.f64 2 (+.f64 (*.f64 x x) (+.f64 (pow.f64 x 3) (pow.f64 x 4))))
(+.f64 (+.f64 (fma.f64 x x 2) (pow.f64 x 4)) (pow.f64 x 3))
(+.f64 2 (fma.f64 x (fma.f64 x x x) (pow.f64 x 4)))
(fma.f64 x (fma.f64 x (fma.f64 x x x) x) 2)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1 (*.f64 -1 x))
(+.f64 (neg.f64 x) 1)
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 1 x)))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(+.f64 1 (-.f64 (/.f64 -1 x) x))
(-.f64 1 (+.f64 x (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 1 (-.f64 (neg.f64 x) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 (-.f64 1 x) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (-.f64 1 x) (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(+.f64 1 (+.f64 (-.f64 (/.f64 -1 x) x) (/.f64 (/.f64 -1 x) x)))
(+.f64 1 (+.f64 (-.f64 (/.f64 -1 x) x) (/.f64 -1 (*.f64 x x))))
(-.f64 1 (-.f64 x (*.f64 (/.f64 1 x) (-.f64 (/.f64 -1 x) 1))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1 (*.f64 -1 x))
(+.f64 (neg.f64 x) 1)
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 1 x)))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(+.f64 1 (-.f64 (/.f64 -1 x) x))
(-.f64 1 (+.f64 x (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 1 (-.f64 (neg.f64 x) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 (-.f64 1 x) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (-.f64 1 x) (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(+.f64 1 (+.f64 (-.f64 (/.f64 -1 x) x) (/.f64 (/.f64 -1 x) x)))
(+.f64 1 (+.f64 (-.f64 (/.f64 -1 x) x) (/.f64 -1 (*.f64 x x))))
(-.f64 1 (-.f64 x (*.f64 (/.f64 1 x) (-.f64 (/.f64 -1 x) 1))))

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 -2 (*.f64 x x))
Compiler

Compiled 11 to 5 computations (54.5% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 -2 (*.f64 x x))
1.0ms
x
@inf
(/.f64 -2 (*.f64 x x))
0.0ms
x
@-inf
(/.f64 -2 (*.f64 x x))

rewrite53.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
491×pow1_binary64
480×add-sqr-sqrt_binary64
459×add-log-exp_binary64
459×log1p-expm1-u_binary64
459×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11087
212997
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(/.f64 -2 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))))))

simplify159.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
1140×associate-/r*_binary64
1082×sqr-pow_binary64
560×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11184
22084
33584
47584
522484
683484
7204384
8220984
9239384
10260184
11289884
12329184
13377284
14434084
15502884
16586384
17625584
18654384
19681984
20689184
21692784
Stop Event
1×node limit
Counts
33 → 23
Calls
Call 1
Inputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
Outputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 -1 (+.f64 1 x))
✓0.0b
(/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x))
✓0.0b
(/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1))
✓3.9b
(+.f64 x (-.f64 -1 (+.f64 1 x)))
Compiler

Compiled 48 to 35 computations (27.1% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite128.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
596×log-prod_binary64
495×fma-def_binary64
291×log-div_binary64
277×fma-neg_binary64
223×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01043
124243
2397238
Stop Event
1×node limit
Counts
4 → 244
Calls
Call 1
Inputs
(+.f64 x (-.f64 -1 (+.f64 1 x)))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1))
(/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x))
(-.f64 -1 (+.f64 1 x))
Outputs
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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 pow.f64 (/.f64 (fma.f64 (+.f64 x 1) x 1) (-.f64 -1 (pow.f64 (+.f64 x 1) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 1) 2))) -1)))) (#(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 log1p.f64 (expm1.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 fma.f64 -1 (+.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x -1 -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) -1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (neg.f64 (cbrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 x -1 -1)) (cbrt.f64 (fma.f64 x -1 -1))) (cbrt.f64 (fma.f64 x -1 -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x -1 -1)) (sqrt.f64 (fma.f64 x -1 -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) -1)))))

simplify64.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
843×times-frac_binary64
498×associate-*l*_binary64
472×associate-/r*_binary64
455×fma-neg_binary64
372×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057471
1171451
2519437
31812430
Stop Event
1×node limit
Counts
292 → 277
Calls
Call 1
Inputs
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(/.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 6))) (+.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.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 6))) (+.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
-2
(-.f64 (*.f64 2 x) 2)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2)
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
-2
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
Outputs
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(fma.f64 2 (*.f64 x x) 2)
(*.f64 2 (fma.f64 x x 1))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4)))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 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 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 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))
(/.f64 (/.f64 -2 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 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.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 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x)) (/.f64 -2 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6))) (/.f64 -2 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8))))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 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 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.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 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x)) (/.f64 -2 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6))) (/.f64 -2 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8))))
-2
(-.f64 (*.f64 2 x) 2)
(fma.f64 2 x -2)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 2)
(+.f64 (fma.f64 2 x (*.f64 -2 (*.f64 x x))) -2)
(fma.f64 2 x (fma.f64 -2 (*.f64 x x) -2))
(fma.f64 -2 (*.f64 x x) (fma.f64 2 x -2))
(fma.f64 x (+.f64 2 (*.f64 -2 x)) -2)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2)
(+.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (*.f64 -2 (*.f64 x x)))) -2)
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (fma.f64 -2 (*.f64 x x) -2)))
(+.f64 (fma.f64 2 x -2) (*.f64 (*.f64 x x) (fma.f64 2 x -2)))
(*.f64 (fma.f64 x x 1) (fma.f64 2 x -2))
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 2 x) 2)))
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 2 x) 2)))
-2
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)

eval459.0ms (10.5%)

Compiler

Compiled 13097 to 10202 computations (22.1% saved)

prune152.0ms (3.5%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New6267633
Fresh011
Picked101
Done134
Total62811639
Error
0b
Counts
639 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
57.4b
1
✓17.5b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
▶57.5b
(-.f64 1 x)
▶62.1b
(neg.f64 x)
▶30.6b
(/.f64 (/.f64 -2 x) x)
✓30.7b
(/.f64 -2 (*.f64 x x))
✓33.6b
(-.f64 1 (/.f64 1 (-.f64 x 1)))
30.5b
(*.f64 (pow.f64 x -2) -2)
▶0.1b
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
33.4b
2
▶33.7b
(+.f64 2 x)
Compiler

Compiled 96 to 75 computations (21.9% saved)

localize23.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 -2 (+.f64 1 x))
✓0.1b
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
Compiler

Compiled 25 to 19 computations (24% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite120.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
618×unpow-prod-down_binary64
439×log-prod_binary64
278×pow-prod-down_binary64
249×pow2_binary64
196×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0920
120220
2282615
Stop Event
1×node limit
Counts
2 → 123
Calls
Call 1
Inputs
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
(/.f64 -2 (+.f64 1 x))
Outputs
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1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (+.f64 1 x) -1/2) (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x -1) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (/.f64 -2 (fma.f64 x x -1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) (-.f64 1 x)))))) (#(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 cbrt.f64 (/.f64 (pow.f64 (/.f64 -2 (+.f64 1 x)) 3) (pow.f64 (+.f64 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 log1p.f64 (expm1.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 +.f64 0 (/.f64 -2 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -2 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2) (cbrt.f64 (/.f64 -2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (sqrt.f64 (/.f64 -2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 (/.f64 1 (+.f64 -1 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 -2 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -2 (+.f64 1 (pow.f64 x 3))) 1) (fma.f64 x (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -2 (-.f64 1 (*.f64 x x))) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -2 (+.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -2 (+.f64 1 x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 4 (pow.f64 (+.f64 1 x) 2)) -2) 1/3) (cbrt.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 -2 (+.f64 1 x)) (cbrt.f64 (/.f64 -2 (+.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 4 (pow.f64 (+.f64 1 x) 2)) (sqrt.f64 (/.f64 -2 (+.f64 1 x)))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 -2) 3) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x)))) 2) 3) (cbrt.f64 (/.f64 -2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 -2) 2) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 x) -1/2)) 2) -1) (cbrt.f64 (/.f64 -2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (pow.f64 (+.f64 1 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2 (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 x) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 1 x) -1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (+.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 -3) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 -3) (log1p.f64 x)) 1))))))

simplify62.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
843×times-frac_binary64
484×associate-*l*_binary64
468×associate-/r*_binary64
448×fma-neg_binary64
374×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054407
1165387
2510382
31785375
Stop Event
1×node limit
Counts
147 → 152
Calls
Call 1
Inputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(/.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 6))) (+.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.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 6))) (+.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
-2
(-.f64 (*.f64 2 x) 2)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2)
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
Outputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(fma.f64 2 (*.f64 x x) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4)))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 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 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 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 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.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 (pow.f64 x 6)) (/.f64 -2 (*.f64 x x))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.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 (*.f64 x x)) (+.f64 (/.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)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.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 (pow.f64 x 6)) (/.f64 -2 (*.f64 x x))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.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 (*.f64 x x)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8)))))
-2
(-.f64 (*.f64 2 x) 2)
(fma.f64 2 x -2)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 2)
(+.f64 (fma.f64 2 x (*.f64 (*.f64 x x) -2)) -2)
(fma.f64 2 x (fma.f64 (*.f64 x x) -2 -2))
(fma.f64 x (+.f64 2 (*.f64 x -2)) -2)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2)
(+.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (*.f64 (*.f64 x x) -2))) -2)
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (fma.f64 (*.f64 x x) -2 -2)))
(+.f64 -2 (fma.f64 2 x (*.f64 (*.f64 x x) (fma.f64 2 x -2))))
(*.f64 (fma.f64 x x 1) (fma.f64 2 x -2))
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 2 (/.f64 2 x)))))
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 2 (/.f64 2 x)))))

localize4.0ms (0.1%)

Compiler

Compiled 4 to 2 computations (50% saved)

localize5.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize6.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 -2 x) x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (/.f64 -2 x) x)
0.0ms
x
@inf
(/.f64 (/.f64 -2 x) x)
0.0ms
x
@-inf
(/.f64 (/.f64 -2 x) x)

rewrite62.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
581×pow1_binary64
545×add-log-exp_binary64
545×log1p-expm1-u_binary64
545×expm1-log1p-u_binary64
535×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11127
214777
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (/.f64 -2 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 2) (cbrt.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (*.f64 (cbrt.f64 (/.f64 -2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 x)) 1) (/.f64 (sqrt.f64 (/.f64 -2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -2 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -2 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -2 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 -2 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -2 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2 (*.f64 x x))))))))

simplify168.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
1140×associate-/r*_binary64
1082×sqr-pow_binary64
560×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11184
22084
33584
47584
522484
683484
7204384
8220984
9239384
10260184
11289884
12329184
13377284
14434084
15502884
16586384
17625584
18654384
19681984
20689184
21692784
Stop Event
1×node limit
Counts
47 → 37
Calls
Call 1
Inputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
Outputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))

eval96.0ms (2.2%)

Compiler

Compiled 2805 to 2238 computations (20.2% saved)

prune26.0ms (0.6%)

Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New1881189
Fresh123
Picked011
Done077
Total18911200
Error
0b
Counts
200 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.5b
(*.f64 (pow.f64 x -2) -2)
33.4b
2
57.4b
1
✓17.5b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
✓57.5b
(-.f64 1 x)
✓62.1b
(neg.f64 x)
✓30.6b
(/.f64 (/.f64 -2 x) x)
✓30.7b
(/.f64 -2 (*.f64 x x))
✓33.6b
(-.f64 1 (/.f64 1 (-.f64 x 1)))
✓0.1b
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
✓33.7b
(+.f64 2 x)
Compiler

Compiled 63 to 50 computations (20.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (pow.f64 x -2) -2)
Compiler

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite46.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
452×pow1_binary64
442×add-sqr-sqrt_binary64
430×*-un-lft-identity_binary64
421×add-log-exp_binary64
420×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11067
211787
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (pow.f64 x -2) -2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -2) (/.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))))))

simplify156.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
1140×associate-/r*_binary64
1082×sqr-pow_binary64
560×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11184
22084
33584
47584
522484
683484
7204384
8220984
9239384
10260184
11289884
12329184
13377284
14434084
15502884
16586384
17625584
18654384
19681984
20689184
21692784
Stop Event
1×node limit
Counts
23 → 13
Calls
Call 1
Inputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
Outputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))

eval3.0ms (0.1%)

Compiler

Compiled 94 to 80 computations (14.9% saved)

prune6.0ms (0.1%)

Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New13013
Fresh022
Picked011
Done088
Total131124
Error
0b
Counts
24 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
✓30.5b
(*.f64 (pow.f64 x -2) -2)
33.4b
2
57.4b
1
✓17.5b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
✓57.5b
(-.f64 1 x)
✓62.1b
(neg.f64 x)
✓30.6b
(/.f64 (/.f64 -2 x) x)
✓30.7b
(/.f64 -2 (*.f64 x x))
✓33.6b
(-.f64 1 (/.f64 1 (-.f64 x 1)))
✓0.1b
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
✓33.7b
(+.f64 2 x)
Compiler

Compiled 63 to 50 computations (20.6% saved)

regimes18.0ms (0.4%)

Counts
14 → 1
Calls
Call 1
Inputs
2
1
2
(neg.f64 x)
(-.f64 1 x)
(+.f64 2 x)
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(-.f64 1 (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
(-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1))
(*.f64 (pow.f64 x -2) -2)
Outputs
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
Calls

3 calls:

9.0ms
x
3.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
3.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
0.1b1(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 104 to 80 computations (23.1% saved)

regimes22.0ms (0.5%)

Counts
9 → 3
Calls
Call 1
Inputs
2
1
2
(neg.f64 x)
(-.f64 1 x)
(+.f64 2 x)
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(-.f64 1 (/.f64 1 (-.f64 x 1)))
Outputs
(/.f64 (/.f64 -2 x) x)
2
(/.f64 (/.f64 -2 x) x)
Calls

1 calls:

20.0ms
x
Results
ErrorSegmentsBranch
1.0b3x
Compiler

Compiled 31 to 22 computations (29% saved)

bsearch102.0ms (2.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
80.0ms
0.7110513630128149
336844.11763890623
21.0ms
-1.7057874896594105
-1.3493702618982426e-19
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes12.0ms (0.3%)

Accuracy

Total -28.9b remaining (-86.5%)

Threshold costs -28.9b (-86.5%)

Counts
6 → 1
Calls
Call 1
Inputs
2
1
2
(neg.f64 x)
(-.f64 1 x)
(+.f64 2 x)
Outputs
2
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
33.4b1x
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify8.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01941
12341
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
(if (<=.f64 x -7682183902803375/4503599627370496) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 13116582516759742464/18446744073709551616) 2 (/.f64 (/.f64 -2 x) x)))
2
Outputs
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
(if (<=.f64 x -7682183902803375/4503599627370496) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 13116582516759742464/18446744073709551616) 2 (/.f64 (/.f64 -2 x) x)))
(if (<=.f64 x -7682183902803375/4503599627370496) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 6404581307011593/9007199254740992) 2 (/.f64 (/.f64 -2 x) x)))
2
Compiler

Compiled 32 to 24 computations (25% saved)

soundness0.0ms (0%)

end164.0ms (3.7%)

Compiler

Compiled 30 to 22 computations (26.7% saved)

Profiling

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