Details

Time bar (total: 5.3s)

analyze0.0ms (0%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
99.9%0%0.1%1
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.8s (34.7%)

Results
827.0ms2054×body1024valid
612.0ms4959×body256valid
256.0ms1016×body512valid
125.0ms227×body2048valid

preprocess68.0ms (1.3%)

Algorithm
2×egg-herbie
Rules
868×unswap-sqr_binary64
382×associate-*l*_binary64
378×fma-def_binary64
314×associate-/l/_binary64
290×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01630
12930
24130
35830
410330
522630
659930
7190130
8496930
9639430
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) 1)
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) y))) -1)
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify55.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
981×times-frac_binary64
942×fma-neg_binary64
434×unswap-sqr_binary64
363×associate-*l/_binary64
344×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
11915
22515
33415
45915
512415
632515
7100015
8258215
9419615
10716515
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)

eval1.0ms (0%)

Compiler

Compiled 22 to 20 computations (9.1% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
27.8b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶27.8b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Compiler

Compiled 12 to 11 computations (8.3% saved)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (exp.f64 (*.f64 -2 x)))
✓1.5b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Compiler

Compiled 37 to 31 computations (16.2% saved)

series5.0ms (0.1%)

Counts
2 → 16
Calls

6 calls:

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

rewrite65.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
426×log-prod_binary64
329×exp-prod_binary64
259×prod-diff_binary64
252×pow2_binary64
245×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01024
121724
2272024
Stop Event
1×node limit
Counts
2 → 100
Calls
Call 1
Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 1 (exp.f64 (*.f64 -2 x)))
Outputs
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x) -2) (expm1.f64 (*.f64 -2 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 -2 x)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (pow.f64 (exp.f64 x) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 -2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (+.f64 (pow.f64 (exp.f64 x) -4) (-.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (-.f64 1 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 -2 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 (+.f64 x x) -2)) (expm1.f64 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 -2 x)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (pow.f64 (exp.f64 x) -4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (exp.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) -2) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (pow.f64 (exp.f64 x) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (cbrt.f64 (pow.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) -1) 1)))))

simplify54.0ms (1%)

Algorithm
1×egg-herbie
Rules
1031×fma-def_binary64
610×associate-*l/_binary64
549×associate-*r/_binary64
495×associate-/l/_binary64
451×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036209
197205
2224203
3614197
41493194
52588194
64126194
Stop Event
1×node limit
Counts
116 → 116
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
2
(+.f64 2 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 x -2))
(fma.f64 x -2 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 2 (*.f64 x -2)))
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 2))
(fma.f64 x (*.f64 x 2) (fma.f64 x -2 2))
(fma.f64 x (fma.f64 x 2 -2) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (+.f64 2 (fma.f64 -2 x (*.f64 (pow.f64 x 3) -4/3))))
(+.f64 (fma.f64 x -2 (*.f64 (pow.f64 x 3) -4/3)) (fma.f64 2 (*.f64 x x) 2))
(fma.f64 x (*.f64 x 2) (fma.f64 (pow.f64 x 3) -4/3 (fma.f64 x -2 2)))
(fma.f64 x (*.f64 x (fma.f64 x -4/3 2)) (fma.f64 x -2 2))
(fma.f64 x (fma.f64 x (fma.f64 x -4/3 2) -2) 2)

eval45.0ms (0.9%)

Compiler

Compiled 1894 to 1546 computations (18.4% saved)

prune23.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1106116
Fresh000
Picked011
Done000
Total1107117
Error
0b
Counts
117 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶27.8b
(/.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
▶34.3b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
▶27.8b
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
32.8b
x
▶43.5b
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
▶27.8b
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
✓27.8b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Compiler

Compiled 149 to 131 computations (12.1% saved)

localize29.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (exp.f64 x) -2)
✓0.0b
(+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
✓0.0b
(+.f64 1 (pow.f64 (exp.f64 x) -2))
✓1.5b
(fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)
Compiler

Compiled 79 to 61 computations (22.8% saved)

series12.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
3.0ms
x
@inf
(fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)
2.0ms
x
@-inf
(fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)
1.0ms
x
@0
(fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)
1.0ms
x
@inf
(+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))

rewrite80.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
535×log-prod_binary64
342×prod-diff_binary64
338×pow2_binary64
337×fma-def_binary64
227×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01446
129546
2350746
Stop Event
1×node limit
Counts
4 → 137
Calls
Call 1
Inputs
(fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (exp.f64 x) -2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) 2) (cbrt.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) (sqrt.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)) 3) -1) (+.f64 (pow.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)) 2) (-.f64 1 (*.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)) 2) 1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (+.f64 (log1p.f64 3) (*.f64 -2 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) 1))))))
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-2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 x) -2)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 x) -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (pow.f64 (exp.f64 x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (cbrt.f64 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) -2) (pow.f64 (cbrt.f64 (exp.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) -2) (pow.f64 (sqrt.f64 (exp.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 x) -6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 x -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) (hypot.f64 1 (exp.f64 (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (/.f64 1 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))

simplify66.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
727×fma-def_binary64
705×distribute-rgt-out_binary64
364×times-frac_binary64
351×*-commutative_binary64
330×distribute-lft-out_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
058651
1153640
2358602
31003525
42851525
56463516
Stop Event
1×node limit
Counts
185 → 173
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 -2/3 (pow.f64 x 3)) (pow.f64 x 2)))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -2/3 (pow.f64 x 3)) (pow.f64 x 2))))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
2
(+.f64 2 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(+.f64 2 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))) 1)
(+.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))) 1)
(+.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))) 1)
(+.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))) 1)
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1)
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1)
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1)
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1)
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
Outputs
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 -2/3 (pow.f64 x 3)) (pow.f64 x 2)))
(fma.f64 2 x (fma.f64 -2/3 (pow.f64 x 3) (*.f64 x x)))
(fma.f64 x (+.f64 2 x) (*.f64 -2/3 (pow.f64 x 3)))
(*.f64 x (+.f64 2 (*.f64 (fma.f64 x -2/3 1) x)))
(*.f64 x (+.f64 2 (*.f64 x (fma.f64 x -2/3 1))))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -2/3 (pow.f64 x 3)) (pow.f64 x 2))))
(fma.f64 -2/3 (pow.f64 x 4) (fma.f64 2 x (fma.f64 -2/3 (pow.f64 x 3) (*.f64 x x))))
(fma.f64 -2/3 (pow.f64 x 4) (fma.f64 x (+.f64 2 x) (*.f64 -2/3 (pow.f64 x 3))))
(fma.f64 x (+.f64 2 x) (*.f64 -2/3 (+.f64 (pow.f64 x 4) (pow.f64 x 3))))
(fma.f64 x (+.f64 2 x) (*.f64 (pow.f64 x 3) (+.f64 -2/3 (*.f64 x -2/3))))
(+.f64 x (*.f64 (+.f64 x 1) (+.f64 x (*.f64 -2/3 (pow.f64 x 3)))))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) -1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) -1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) -1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) -1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) -1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) -1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) -1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) -1)
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 x -2))
(fma.f64 x -2 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 2 (*.f64 x -2)))
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 2))
(fma.f64 x (fma.f64 2 x -2) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (+.f64 2 (fma.f64 -2 x (*.f64 (pow.f64 x 3) -4/3))))
(+.f64 (fma.f64 2 (*.f64 x x) (fma.f64 x -2 2)) (*.f64 (pow.f64 x 3) -4/3))
(fma.f64 2 (*.f64 x x) (fma.f64 (pow.f64 x 3) -4/3 (fma.f64 x -2 2)))
(fma.f64 x (fma.f64 2 x -2) (fma.f64 (pow.f64 x 3) -4/3 2))
(+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(+.f64 2 (fma.f64 -1/3 (pow.f64 x 3) x))
(+.f64 2 (fma.f64 (pow.f64 x 3) -1/3 x))
(fma.f64 (pow.f64 x 3) -1/3 (+.f64 2 x))
(+.f64 2 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 2 (fma.f64 -1/3 (pow.f64 x 3) (+.f64 x (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 2 (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x)))
(+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/3 2))
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/3 (+.f64 2 x)))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))) 1)
(+.f64 1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))
(+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))) 1)
(+.f64 1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))
(+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))) 1)
(+.f64 1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))
(+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))) 1)
(+.f64 1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))
(+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1)
(+.f64 1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))
(+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1)
(+.f64 1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))
(+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1)
(+.f64 1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))
(+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1)
(+.f64 1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))
(+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (*.f64 x -2))
(fma.f64 x -2 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 x -2)))
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 1))
(fma.f64 x (+.f64 x x) (fma.f64 x -2 1))
(fma.f64 x (fma.f64 2 x -2) 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (+.f64 1 (fma.f64 -2 x (*.f64 (pow.f64 x 3) -4/3))))
(+.f64 (fma.f64 x -2 (*.f64 (pow.f64 x 3) -4/3)) (fma.f64 2 (*.f64 x x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 (pow.f64 x 3) -4/3 (fma.f64 x -2 1)))
(fma.f64 x (fma.f64 2 x -2) (fma.f64 (pow.f64 x 3) -4/3 1))
(fma.f64 x (*.f64 x (fma.f64 x -4/3 2)) (fma.f64 x -2 1))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 -2) x)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 -2) x)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 -2) x)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 -2) x)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 -2) x)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 -2) x)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 -2) x)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 -2) x)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 2 (+.f64 2 (*.f64 -2 x)))
✓1.5b
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
Compiler

Compiled 30 to 25 computations (16.7% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite68.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
590×unpow-prod-down_binary64
401×log-prod_binary64
306×exp-prod_binary64
301×prod-diff_binary64
238×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
120219
2255519
Stop Event
1×node limit
Counts
2 → 124
Calls
Call 1
Inputs
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
(/.f64 2 (+.f64 2 (*.f64 -2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 2 (fma.f64 -2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1) 2)))))) (#(struct:change 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(fma.f64 -2 x 2)) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (fma.f64 -2 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 (neg.f64 (fma.f64 -2 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (fma.f64 -2 x 2)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 (fma.f64 -2 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 2) (*.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) (*.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 -2 x 2)) 2 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (fma.f64 -8 (pow.f64 x 3) 8)) (fma.f64 (*.f64 -2 x) (fma.f64 -2 x -2) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (-.f64 4 (*.f64 4 (*.f64 x x)))) (+.f64 2 (*.f64 2 x)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (fma.f64 -2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (fma.f64 -2 x 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (fma.f64 -2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (fma.f64 -2 x 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (fma.f64 -2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (fma.f64 -2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 (/.f64 1 (neg.f64 (fma.f64 -2 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (fma.f64 -2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 2) (*.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 2) (pow.f64 (*.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) (*.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) (pow.f64 (*.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -2 x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fma.f64 -8 (pow.f64 x 3) 8)) (fma.f64 (*.f64 -2 x) (fma.f64 -2 x -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 4 (*.f64 4 (*.f64 x x)))) (+.f64 2 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 2 (fma.f64 -2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 2 (fma.f64 -8 (pow.f64 x 3) 8)) 1) (fma.f64 (*.f64 -2 x) (fma.f64 -2 x -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 2 (-.f64 4 (*.f64 4 (*.f64 x x)))) 1) (+.f64 2 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 2) 3) (/.f64 1 (fma.f64 -2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2)))) 2) 3) (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 1 (fma.f64 -2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 8 1/3) (/.f64 1 (fma.f64 -2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 4 (pow.f64 (fma.f64 -2 x 2) -2)) 2) 1/3) (cbrt.f64 (/.f64 1 (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 2 (fma.f64 -2 x 2)) (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 2 (fma.f64 -2 x 2)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -2 x 2) 1/2)) 2) -1) (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 2 (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (fma.f64 -2 x 2) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8 (pow.f64 (fma.f64 -2 x 2) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -2 x 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 -2 x 2) 1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2))))) (sqrt.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (fma.f64 -2 x 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 -2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8 (pow.f64 (fma.f64 -2 x 2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8 (pow.f64 (fma.f64 -2 x 2) -3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -2 x 2) 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)) -1)))))

simplify46.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
774×fma-neg_binary64
535×associate-*l*_binary64
445×fma-def_binary64
443×associate-*r*_binary64
425×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038333
1112299
2345290
31021289
42833289
Stop Event
1×node limit
Counts
148 → 152
Calls
Call 1
Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (pow.f64 x 2) x))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.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)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.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
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 (fma.f64 x x x) (pow.f64 x 3))
(fma.f64 x (fma.f64 x x x) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (*.f64 x x) (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)))
(+.f64 (+.f64 (fma.f64 x x x) (pow.f64 x 3)) (pow.f64 x 4))
(*.f64 (fma.f64 x x 1) (fma.f64 x x x))
(*.f64 (fma.f64 x x x) (fma.f64 x x 1))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(-.f64 -1 (/.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (-.f64 -1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.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 (+.f64 (-.f64 -1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 -1 (/.f64 (/.f64 -1 x) x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(-.f64 -1 (/.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (-.f64 -1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.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 (+.f64 (-.f64 -1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 -1 (/.f64 (/.f64 -1 x) x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) x))
(+.f64 (+.f64 x (*.f64 x x)) 1)
(+.f64 (fma.f64 x x x) 1)
(+.f64 x (fma.f64 x x 1))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)))
(+.f64 (+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3))) 1)
(+.f64 (+.f64 (fma.f64 x x x) (pow.f64 x 3)) 1)
(+.f64 (fma.f64 x (fma.f64 x x x) x) 1)
(*.f64 (+.f64 x 1) (fma.f64 x x 1))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 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 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 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 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 -1/3 (pow.f64 x 3))
Compiler

Compiled 20 to 15 computations (25% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite41.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
505×pow1_binary64
498×add-sqr-sqrt_binary64
476×add-log-exp_binary64
476×log1p-expm1-u_binary64
476×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11297
213247
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 -1/3 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))))))

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
11 → 11
Calls
Call 1
Inputs
Outputs

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (exp.f64 x) -2)
0.0b
(+.f64 1 (pow.f64 (exp.f64 x) -2))
✓1.5b
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
Compiler

Compiled 37 to 27 computations (27% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite63.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
437×log-prod_binary64
346×exp-prod_binary64
276×pow2_binary64
243×prod-diff_binary64
239×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
123415
2283215
Stop Event
1×node limit
Counts
1 → 51
Calls
Call 1
Inputs
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (/.f64 1 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 1) (-.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (+.f64 1 (-.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)) (neg.f64 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) (neg.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (-.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (sqrt.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 2 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -6 x)))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 x) -2)) -1)))))

simplify63.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
866×unswap-sqr_binary64
793×fma-def_binary64
693×associate-/l*_binary64
557×associate-/l/_binary64
335×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031190
178190
2152182
3348166
4703166
51626166
62712166
75541166
87544166
Stop Event
1×node limit
Counts
63 → 61
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1)
Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))) 1)
(+.f64 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))) 1)
(+.f64 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))) 1)
(+.f64 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))) 1)
(+.f64 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
0.0b
(pow.f64 (exp.f64 x) -2)
✓0.2b
(log1p.f64 (pow.f64 (exp.f64 x) -2))
✓1.5b
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
Compiler

Compiled 35 to 25 computations (28.6% saved)

series71.0ms (1.3%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
49.0ms
x
@inf
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
18.0ms
x
@-inf
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
1.0ms
x
@0
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
1.0ms
x
@0
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
0.0ms
x
@inf
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))

rewrite73.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
923×pow1_binary64
857×add-log-exp_binary64
856×expm1-log1p-u_binary64
854×log1p-expm1-u_binary64
836×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
120136
2235536
Stop Event
1×node limit
Counts
3 → 68
Calls
Call 1
Inputs
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1 (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (/.f64 1 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) (neg.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (*.f64 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (-.f64 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3) 1) (+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (+.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))))

simplify69.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
685×fma-def_binary64
598×distribute-rgt-neg-in_binary64
524×unswap-sqr_binary64
468×associate-*l*_binary64
361×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061501
1154496
2345470
3974418
43511418
56904418
Stop Event
1×node limit
Counts
104 → 97
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/45 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/12 (pow.f64 x 4) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/45 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/45 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 -1/45 (pow.f64 x 6) x)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 1/12) -1/2) (fma.f64 -1/45 (pow.f64 x 6) x))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 x))
(+.f64 (log.f64 2) (neg.f64 x))
(-.f64 (log.f64 2) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 -1 x)))
(fma.f64 1/2 (*.f64 x x) (+.f64 (log.f64 2) (neg.f64 x)))
(-.f64 (fma.f64 (*.f64 x x) 1/2 (log.f64 2)) x)
(-.f64 (fma.f64 x (*.f64 x 1/2) (log.f64 2)) x)
(fma.f64 x (fma.f64 x 1/2 -1) (log.f64 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(fma.f64 1/2 (*.f64 x x) (+.f64 (log.f64 2) (fma.f64 -1 x (*.f64 (pow.f64 x 4) -1/12))))
(+.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/12) x) (fma.f64 (*.f64 x x) 1/2 (log.f64 2)))
(fma.f64 x (*.f64 x 1/2) (-.f64 (fma.f64 (pow.f64 x 4) -1/12 (log.f64 2)) x))
(fma.f64 (pow.f64 x 4) -1/12 (fma.f64 x (fma.f64 x 1/2 -1) (log.f64 2)))
(fma.f64 x (fma.f64 x 1/2 -1) (fma.f64 (pow.f64 x 4) -1/12 (log.f64 2)))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 -2 x)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 -2 x)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 -2 x)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 -2 x)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 -2 x)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 -2 x)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 -2 x)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 -2 x)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))

eval439.0ms (8.3%)

Compiler

Compiled 13863 to 11456 computations (17.4% saved)

prune100.0ms (1.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New6944698
Fresh011
Picked101
Done235
Total6978705
Error
0b
Counts
705 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓27.8b
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
32.8b
x
▶27.8b
(/.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)) 1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
43.8b
-1
✓27.8b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶60.5b
(-.f64 (+.f64 x 1) 1)
▶27.8b
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
✓34.3b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
Compiler

Compiled 82 to 72 computations (12.2% saved)

localize23.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
✓0.2b
(log1p.f64 (exp.f64 (*.f64 x -2)))
✓1.5b
(-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))
Compiler

Compiled 36 to 30 computations (16.7% saved)

series56.0ms (1.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
39.0ms
x
@inf
(-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))
15.0ms
x
@-inf
(-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))
1.0ms
x
@0
(-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))
0.0ms
x
@0
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
0.0ms
x
@inf
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))

rewrite77.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
918×pow1_binary64
851×add-log-exp_binary64
851×expm1-log1p-u_binary64
849×log1p-expm1-u_binary64
832×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
119736
2231736
Stop Event
1×node limit
Counts
3 → 68
Calls
Call 1
Inputs
(-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2)) (/.f64 1 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2))) (neg.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (*.f64 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (-.f64 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3) 1) (+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (+.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))))))

simplify65.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
685×fma-def_binary64
585×distribute-rgt-neg-in_binary64
508×unswap-sqr_binary64
463×associate-*l*_binary64
358×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056429
1144424
2334422
3961418
43465418
56755418
Stop Event
1×node limit
Counts
104 → 94
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/45 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/12 (pow.f64 x 4) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/45 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/45 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 -1/45 (pow.f64 x 6) x)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 1/12) -1/2) (fma.f64 -1/45 (pow.f64 x 6) x))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 x))
(+.f64 (log.f64 2) (neg.f64 x))
(-.f64 (log.f64 2) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 -1 x)))
(fma.f64 1/2 (*.f64 x x) (+.f64 (log.f64 2) (neg.f64 x)))
(-.f64 (fma.f64 (*.f64 x x) 1/2 (log.f64 2)) x)
(-.f64 (fma.f64 x (*.f64 x 1/2) (log.f64 2)) x)
(fma.f64 x (fma.f64 x 1/2 -1) (log.f64 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(fma.f64 1/2 (*.f64 x x) (+.f64 (log.f64 2) (fma.f64 -1 x (*.f64 (pow.f64 x 4) -1/12))))
(+.f64 (fma.f64 (pow.f64 x 4) -1/12 (neg.f64 x)) (fma.f64 (*.f64 x x) 1/2 (log.f64 2)))
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) -1/12 (-.f64 (log.f64 2) x)))
(fma.f64 (pow.f64 x 4) -1/12 (fma.f64 x (fma.f64 x 1/2 -1) (log.f64 2)))
(fma.f64 x (fma.f64 x 1/2 -1) (fma.f64 (pow.f64 x 4) -1/12 (log.f64 2)))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.5b
(-.f64 (+.f64 x 1) 1)
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite43.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
054
11161
216231
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(-.f64 (+.f64 x 1) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 x 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 x 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) 0) (+.f64 (*.f64 x x) (-.f64 0 (*.f64 x 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) -1)))))

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
53 → 42
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x

localize35.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)
0.0b
(+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
0.0b
(+.f64 1 (pow.f64 (exp.f64 x) -2))
✓1.5b
(-.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)) 1)
Compiler

Compiled 90 to 70 computations (22.2% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)) 1)
1.0ms
x
@-inf
(-.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)) 1)
1.0ms
x
@0
(-.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)) 1)
0.0ms
x
@0
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)
0.0ms
x
@inf
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)

rewrite69.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
464×log-prod_binary64
290×pow2_binary64
289×prod-diff_binary64
268×pow-prod-down_binary64
241×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01230
126328
2311826
Stop Event
1×node limit
Counts
2 → 102
Calls
Call 1
Inputs
(-.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)) 1)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4) -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 8))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (*.f64 (pow.f64 (exp.f64 x) -2) (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 8))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) (pow.f64 (exp.f64 x) -2)))))))

simplify69.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
576×distribute-rgt-out_binary64
466×fma-def_binary64
356×times-frac_binary64
320×distribute-lft-out_binary64
311×associate-/r/_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
039378
1102375
2236355
3658316
42137316
55338299
67299299
Stop Event
1×node limit
Counts
126 → 122
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 -2/3 (pow.f64 x 3)) (pow.f64 x 2)))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -2/3 (pow.f64 x 3)) (pow.f64 x 2))))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
4
(+.f64 (*.f64 -8 x) 4)
(+.f64 (*.f64 -8 x) (+.f64 4 (*.f64 12 (pow.f64 x 2))))
(+.f64 (*.f64 -8 x) (+.f64 4 (+.f64 (*.f64 -40/3 (pow.f64 x 3)) (*.f64 12 (pow.f64 x 2)))))
(pow.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) 2)
(pow.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) 2)
(pow.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) 2)
(pow.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) 2)
(pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)
Outputs
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 -2/3 (pow.f64 x 3)) (pow.f64 x 2)))
(fma.f64 2 x (fma.f64 -2/3 (pow.f64 x 3) (*.f64 x x)))
(fma.f64 2 x (fma.f64 x x (*.f64 -2/3 (pow.f64 x 3))))
(fma.f64 x (+.f64 2 x) (*.f64 -2/3 (pow.f64 x 3)))
(*.f64 x (+.f64 2 (*.f64 x (fma.f64 x -2/3 1))))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -2/3 (pow.f64 x 3)) (pow.f64 x 2))))
(fma.f64 -2/3 (pow.f64 x 4) (fma.f64 2 x (fma.f64 -2/3 (pow.f64 x 3) (*.f64 x x))))
(fma.f64 -2/3 (pow.f64 x 4) (fma.f64 2 x (fma.f64 x x (*.f64 -2/3 (pow.f64 x 3)))))
(fma.f64 -2/3 (pow.f64 x 4) (fma.f64 x (+.f64 2 x) (*.f64 -2/3 (pow.f64 x 3))))
(fma.f64 x (+.f64 2 x) (*.f64 -2/3 (+.f64 (pow.f64 x 4) (pow.f64 x 3))))
(fma.f64 x (+.f64 2 x) (*.f64 -2/3 (+.f64 (pow.f64 x 3) (pow.f64 x 4))))
(+.f64 x (*.f64 (+.f64 x 1) (+.f64 x (*.f64 -2/3 (pow.f64 x 3)))))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) -1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) -1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) -1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) -1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) -1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) -1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) -1)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1)
(+.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) -1)
4
(+.f64 (*.f64 -8 x) 4)
(fma.f64 -8 x 4)
(fma.f64 x -8 4)
(+.f64 (*.f64 -8 x) (+.f64 4 (*.f64 12 (pow.f64 x 2))))
(+.f64 (fma.f64 -8 x 4) (*.f64 (*.f64 x x) 12))
(fma.f64 x -8 (fma.f64 (*.f64 x x) 12 4))
(fma.f64 x -8 (fma.f64 x (*.f64 x 12) 4))
(fma.f64 x (fma.f64 x 12 -8) 4)
(+.f64 (*.f64 -8 x) (+.f64 4 (+.f64 (*.f64 -40/3 (pow.f64 x 3)) (*.f64 12 (pow.f64 x 2)))))
(+.f64 (fma.f64 -8 x 4) (fma.f64 -40/3 (pow.f64 x 3) (*.f64 (*.f64 x x) 12)))
(+.f64 (fma.f64 x -8 4) (fma.f64 (*.f64 x x) 12 (*.f64 (pow.f64 x 3) -40/3)))
(fma.f64 x -8 (fma.f64 x (*.f64 x 12) (fma.f64 (pow.f64 x 3) -40/3 4)))
(fma.f64 (pow.f64 x 3) -40/3 (fma.f64 x (fma.f64 x 12 -8) 4))
(fma.f64 x -8 (fma.f64 (*.f64 x x) (fma.f64 x -40/3 12) 4))
(pow.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) 2)
(pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)
(pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)
(pow.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) 2)
(pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)
(pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)
(pow.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) 2)
(pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)
(pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)
(pow.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) 2)
(pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)
(pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)
(pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)
(pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)
(pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)
(pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)
(pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)
(pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)
(pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)
(pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)

eval220.0ms (4.2%)

Compiler

Compiled 9741 to 7921 computations (18.7% saved)

prune60.0ms (1.1%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New4022404
Fresh022
Picked011
Done055
Total40210412
Error
0b
Counts
412 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓27.8b
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
32.8b
x
✓27.8b
(/.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)) 1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
43.8b
-1
✓27.8b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶33.6b
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓60.5b
(-.f64 (+.f64 x 1) 1)
▶33.5b
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
✓27.8b
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
✓34.3b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
Compiler

Compiled 108 to 92 computations (14.8% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓18.9b
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite52.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
880×pow1_binary64
823×add-log-exp_binary64
822×log1p-expm1-u_binary64
822×expm1-log1p-u_binary64
808×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
117513
2227513
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 x 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (+.f64 x 2))) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x 2)) 1) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (/.f64 x (+.f64 x 2))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -4) (/.f64 x (+.f64 x 2))) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x (+.f64 x 2))) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 x 2)) -1) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x 2)) (/.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (+.f64 x 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (/.f64 1 (+.f64 x 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3) (pow.f64 (*.f64 x (+.f64 x 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))))))))

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
40 → 29
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓18.9b
(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
Compiler

Compiled 33 to 23 computations (30.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite66.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
882×pow1_binary64
830×add-log-exp_binary64
829×log1p-expm1-u_binary64
829×expm1-log1p-u_binary64
814×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0829
11805
225665
Stop Event
1×node limit
Counts
2 → 81
Calls
Call 1
Inputs
(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 2) (/.f64 (pow.f64 x -1) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1)) (pow.f64 (cbrt.f64 (pow.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1)) 2) (cbrt.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (*.f64 (cbrt.f64 (+.f64 x 2)) (/.f64 (pow.f64 x -1) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 (pow.f64 x -1) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (neg.f64 x)) (/.f64 1 (*.f64 x (+.f64 -2 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1) (+.f64 x 2)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) (/.f64 (+.f64 x 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 2)) (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) 1) (/.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (+.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) x) (/.f64 (cbrt.f64 (+.f64 x 2)) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) x) (/.f64 (sqrt.f64 (+.f64 x 2)) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (+.f64 x 2)) (/.f64 (cbrt.f64 (+.f64 x 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (cbrt.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) (cbrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 2)))) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))) (/.f64 (cbrt.f64 (+.f64 x 2)) (sqrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 -2 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (*.f64 x (+.f64 x 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (/.f64 (pow.f64 x -1) (+.f64 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (pow.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -1) (pow.f64 (/.f64 1 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (*.f64 x (+.f64 x 2)) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))) (/.f64 x (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) 1) (/.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 1) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (+.f64 x 2) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (sqrt.f64 (+.f64 x 2))) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -2 (neg.f64 x))) (*.f64 x (+.f64 -2 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 x 2)) (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x x -4)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) 1) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (cbrt.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (sqrt.f64 (*.f64 x (+.f64 x 2)))) (sqrt.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (+.f64 x 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))))

simplify8.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0460
1660
Stop Event
1×saturated
Counts
105 → 83
Calls
Call 1
Inputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x

eval34.0ms (0.6%)

Compiler

Compiled 1395 to 1049 computations (24.8% saved)

prune22.0ms (0.4%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New1084112
Fresh022
Picked101
Done077
Total10913122
Error
0b
Counts
122 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓34.3b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
33.6b
(/.f64 1 (*.f64 (+.f64 -2 (neg.f64 x)) (/.f64 1 (*.f64 x (+.f64 -2 (neg.f64 x))))))
✓27.8b
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
32.8b
x
✓27.8b
(/.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)) 1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
43.8b
-1
✓27.8b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
32.8b
(*.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x 2)) x)
34.4b
(/.f64 1 (-.f64 (+.f64 1 (pow.f64 x -1)) 1))
32.8b
(/.f64 1 (/.f64 1 x))
✓60.5b
(-.f64 (+.f64 x 1) 1)
✓33.5b
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
✓27.8b
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
Compiler

Compiled 143 to 121 computations (15.4% saved)

regimes191.0ms (3.6%)

Counts
17 → 3
Calls
Call 1
Inputs
-1
x
(/.f64 1 (/.f64 1 x))
(-.f64 (+.f64 x 1) 1)
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
(*.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x 2)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (*.f64 (+.f64 -2 (neg.f64 x)) (/.f64 1 (*.f64 x (+.f64 -2 (neg.f64 x))))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(/.f64 1 (-.f64 (+.f64 1 (pow.f64 x -1)) 1))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)) 1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
Outputs
(/.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)) 1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
-1
Calls

12 calls:

60.0ms
y
26.0ms
(*.f64 -2 x)
26.0ms
(*.f64 -2 x)
26.0ms
x
6.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Results
ErrorSegmentsBranch
0b3x
21.5b6y
0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0b3(exp.f64 (*.f64 -2 x))
0b3(exp.f64 (*.f64 -2 x))
0b3(*.f64 -2 x)
0b3(*.f64 -2 x)
Compiler

Compiled 258 to 213 computations (17.4% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.8165956516769333e-5
915265.8663400422
0.0ms
-0.2158780541450202
-7.882555972261155e-19
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes175.0ms (3.3%)

Counts
15 → 3
Calls
Call 1
Inputs
-1
x
(/.f64 1 (/.f64 1 x))
(-.f64 (+.f64 x 1) 1)
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
(*.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x 2)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (*.f64 (+.f64 -2 (neg.f64 x)) (/.f64 1 (*.f64 x (+.f64 -2 (neg.f64 x))))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(/.f64 1 (-.f64 (+.f64 1 (pow.f64 x -1)) 1))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
Outputs
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
-1
Calls

12 calls:

53.0ms
y
24.0ms
(*.f64 -2 x)
24.0ms
(*.f64 -2 x)
23.0ms
x
6.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Results
ErrorSegmentsBranch
0.0b3x
21.5b6y
0.0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b3(exp.f64 (*.f64 -2 x))
0.0b3(exp.f64 (*.f64 -2 x))
0.0b3(*.f64 -2 x)
0.0b3(*.f64 -2 x)
Compiler

Compiled 213 to 176 computations (17.4% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.8165956516769333e-5
915265.8663400422
0.0ms
-0.2158780541450202
-7.882555972261155e-19
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes169.0ms (3.2%)

Counts
13 → 3
Calls
Call 1
Inputs
-1
x
(/.f64 1 (/.f64 1 x))
(-.f64 (+.f64 x 1) 1)
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
(*.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x 2)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (*.f64 (+.f64 -2 (neg.f64 x)) (/.f64 1 (*.f64 x (+.f64 -2 (neg.f64 x))))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(/.f64 1 (-.f64 (+.f64 1 (pow.f64 x -1)) 1))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
Outputs
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
-1
Calls

12 calls:

49.0ms
y
27.0ms
(*.f64 -2 x)
22.0ms
(*.f64 -2 x)
22.0ms
x
6.0ms
(exp.f64 (*.f64 -2 x))
Results
ErrorSegmentsBranch
0.0b3x
21.5b6y
0.0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b3(exp.f64 (*.f64 -2 x))
0.0b3(exp.f64 (*.f64 -2 x))
0.0b3(*.f64 -2 x)
0.0b3(*.f64 -2 x)
Compiler

Compiled 195 to 161 computations (17.4% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.8165956516769333e-5
915265.8663400422
0.0ms
-0.2158780541450202
-7.882555972261155e-19
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes155.0ms (2.9%)

Counts
12 → 3
Calls
Call 1
Inputs
-1
x
(/.f64 1 (/.f64 1 x))
(-.f64 (+.f64 x 1) 1)
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
(*.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x 2)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (*.f64 (+.f64 -2 (neg.f64 x)) (/.f64 1 (*.f64 x (+.f64 -2 (neg.f64 x))))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(/.f64 1 (-.f64 (+.f64 1 (pow.f64 x -1)) 1))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
-1
Calls

12 calls:

46.0ms
y
21.0ms
(*.f64 -2 x)
20.0ms
x
20.0ms
(*.f64 -2 x)
6.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Results
ErrorSegmentsBranch
0.0b3x
21.5b6y
0.0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b3(exp.f64 (*.f64 -2 x))
0.0b3(exp.f64 (*.f64 -2 x))
0.0b3(*.f64 -2 x)
0.0b3(*.f64 -2 x)
Compiler

Compiled 185 to 152 computations (17.8% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.8165956516769333e-5
915265.8663400422
0.0ms
-0.2158780541450202
-7.882555972261155e-19
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes83.0ms (1.6%)

Accuracy

Total -48.1b remaining (-321.4%)

Threshold costs -48.1b (-321.4%)

Counts
11 → 2
Calls
Call 1
Inputs
-1
x
(/.f64 1 (/.f64 1 x))
(-.f64 (+.f64 x 1) 1)
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
(*.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x 2)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (*.f64 (+.f64 -2 (neg.f64 x)) (/.f64 1 (*.f64 x (+.f64 -2 (neg.f64 x))))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(/.f64 1 (-.f64 (+.f64 1 (pow.f64 x -1)) 1))
Outputs
x
-1
Calls

4 calls:

41.0ms
y
13.0ms
(*.f64 -2 x)
13.0ms
x
12.0ms
(*.f64 -2 x)
Results
ErrorSegmentsBranch
15.0b2x
29.3b7y
15.0b2(*.f64 -2 x)
15.0b2(*.f64 -2 x)
Compiler

Compiled 103 to 79 computations (23.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.8165956516769333e-5
915265.8663400422
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify11.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
9×+-commutative_binary64
4×sub-neg_binary64
3×*-commutative_binary64
1×neg-sub0_binary64
1×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044208
158208
263208
365208
466208
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 -2 x) -3689348814741910528/18446744073709551616) (/.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)) 1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) -1))
(if (<=.f64 (*.f64 -2 x) -3689348814741910528/18446744073709551616) (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))) (if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) -1))
(if (<=.f64 (*.f64 -2 x) -3689348814741910528/18446744073709551616) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) (if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) -1))
(if (<=.f64 (*.f64 -2 x) -3689348814741910528/18446744073709551616) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) -1))
(if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) x -1)
-1
Outputs
(if (<=.f64 (*.f64 -2 x) -3689348814741910528/18446744073709551616) (/.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)) 1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) -1))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/18014398509481984) (/.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)) -1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) -1))
(if (<=.f64 (*.f64 -2 x) -3689348814741910528/18446744073709551616) (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))) (if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) -1))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/18014398509481984) (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x))))) (if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) -1))
(if (<=.f64 (*.f64 -2 x) -3689348814741910528/18446744073709551616) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) (if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) -1))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/18014398509481984) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) (if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) -1))
(if (<=.f64 (*.f64 -2 x) -3689348814741910528/18446744073709551616) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) -1))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/18014398509481984) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1) (if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) -1))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/18014398509481984) (+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) (if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) -1))
(if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) x -1)
-1
Compiler

Compiled 153 to 129 computations (15.7% saved)

soundness0.0ms (0%)

end87.0ms (1.7%)

Compiler

Compiled 143 to 118 computations (17.5% saved)

Profiling

Loading profile data...