Details

Time bar (total: 1.4s)

analyze4.0ms (0.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
50%12.5%37.5%5
50%6.2%43.8%6
50%3.1%46.9%7
50%1.6%48.5%8
50%0.8%49.2%9
50%0.4%49.6%10
50.2%0.2%49.6%11
50.2%0.1%49.7%12
50.2%0%49.8%13
50.2%0%49.8%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample840.0ms (58.1%)

Results
826.0ms8256×body128valid
0.0ms1×body128invalid
Compiler

Compiled 18 to 14 computations (22.2% saved)

preprocess29.0ms (2%)

Algorithm
2×egg-herbie
Rules
417×times-frac_binary64
412×associate-/l*_binary64
360×associate-/r*_binary64
350×associate-*l*_binary64
200×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1199
2509
31117
42367
55317
616137
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
Outputs
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify19.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
417×times-frac_binary64
412×associate-/l*_binary64
360×associate-/r*_binary64
350×associate-*l*_binary64
200×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0711
1199
2509
31117
42367
55317
616137
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
Outputs
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))

prune2.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(exp.f64 (fma.f64 x x -1))
Compiler

Compiled 25 to 17 computations (32% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(exp.f64 (fma.f64 x x -1))

series2.0ms (0.1%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(exp.f64 (fma.f64 x x -1))
0.0ms
x
@inf
(exp.f64 (fma.f64 x x -1))
0.0ms
x
@-inf
(exp.f64 (fma.f64 x x -1))

rewrite29.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
394×pow1_binary64
361×add-log-exp_binary64
361×log1p-expm1-u_binary64
361×expm1-log1p-u_binary64
353×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1907
29717
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(exp.f64 (fma.f64 x x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) (sqrt.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 x x)) (exp.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (fma.f64 x x -1))))))))

simplify32.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
724×distribute-lft-out_binary64
385×*-commutative_binary64
380×fma-def_binary64
341×distribute-rgt-out_binary64
340×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02281
15579
213663
344856
4182856
5357856
6458356
Stop Event
1×node limit
Counts
24 → 27
Calls
Call 1
Inputs
(exp.f64 -1)
(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (pow.f64 x 2)))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))) (*.f64 (exp.f64 -1) (pow.f64 x 2))))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))) (*.f64 (exp.f64 -1) (pow.f64 x 2)))))
Outputs
(exp.f64 -1)
(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (pow.f64 x 2)))
(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (*.f64 x x)))
(*.f64 (+.f64 (*.f64 x x) 1) (exp.f64 -1))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))) (*.f64 (exp.f64 -1) (pow.f64 x 2))))
(+.f64 (exp.f64 -1) (fma.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (*.f64 (exp.f64 -1) (*.f64 x x))))
(+.f64 (exp.f64 -1) (fma.f64 (exp.f64 -1) (*.f64 x x) (*.f64 (exp.f64 -1) (*.f64 (pow.f64 x 4) 1/2))))
(*.f64 (exp.f64 -1) (+.f64 (*.f64 1/2 (pow.f64 x 4)) (fma.f64 x x 1)))
(*.f64 (exp.f64 -1) (fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1)))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))) (*.f64 (exp.f64 -1) (pow.f64 x 2)))))
(+.f64 (exp.f64 -1) (fma.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6)) (fma.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (*.f64 (exp.f64 -1) (*.f64 x x)))))
(+.f64 (exp.f64 -1) (fma.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6)) (fma.f64 (exp.f64 -1) (*.f64 x x) (*.f64 (exp.f64 -1) (*.f64 (pow.f64 x 4) 1/2)))))
(fma.f64 (exp.f64 -1) (*.f64 1/6 (pow.f64 x 6)) (*.f64 (exp.f64 -1) (+.f64 (*.f64 1/2 (pow.f64 x 4)) (fma.f64 x x 1))))
(*.f64 (exp.f64 -1) (+.f64 (*.f64 1/6 (pow.f64 x 6)) (fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1))))
(*.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (fma.f64 1/6 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 4)))))

prune18.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New25227
Fresh000
Picked011
Done000
Total25328
Error
0.0b
Counts
28 → 3
Alt Table
StatusErrorProgram
✓0.0b
(exp.f64 (fma.f64 x x -1))
2.0b
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 3)
▶0.0b
(*.f64 (exp.f64 (*.f64 x x)) (exp.f64 -1))
Compiler

Compiled 316 to 241 computations (23.7% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (exp.f64 (*.f64 x x)) (exp.f64 -1))
✓0.0b
(exp.f64 (*.f64 x x))

series6.0ms (0.4%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(*.f64 (exp.f64 (*.f64 x x)) (exp.f64 -1))
2.0ms
x
@inf
(*.f64 (exp.f64 (*.f64 x x)) (exp.f64 -1))
1.0ms
x
@0
(*.f64 (exp.f64 (*.f64 x x)) (exp.f64 -1))
1.0ms
x
@0
(exp.f64 (*.f64 x x))
0.0ms
x
@inf
(exp.f64 (*.f64 x x))

rewrite38.0ms (2.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0715
112913
2142913
Stop Event
1×node limit
Counts
2 → 34
Calls
Call 1
Inputs
(exp.f64 (*.f64 x x))
(*.f64 (exp.f64 (*.f64 x x)) (exp.f64 -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (exp.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (pow.f64 (exp.f64 -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 (pow.f64 (exp.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 x x -1))))))

simplify33.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
512×fma-def_binary64
437×distribute-rgt-out_binary64
423×*-commutative_binary64
417×associate-*l*_binary64
349×distribute-lft-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032244
184216
2208200
3592195
42283195
54511195
Stop Event
1×node limit
Counts
58 → 50
Calls
Call 1
Inputs
1
(+.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 x 6)) (pow.f64 x 2))))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 -1)
(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (pow.f64 x 2)))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))) (*.f64 (exp.f64 -1) (pow.f64 x 2))))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))) (*.f64 (exp.f64 -1) (pow.f64 x 2)))))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
Outputs
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 (*.f64 1/2 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 4) (+.f64 1 (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1))
(+.f64 (*.f64 1/2 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 1/2 (pow.f64 x 4) (+.f64 1 (fma.f64 1/6 (pow.f64 x 6) (*.f64 x x))))
(+.f64 (fma.f64 x x (*.f64 1/6 (pow.f64 x 6))) (fma.f64 1/2 (pow.f64 x 4) 1))
(fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x (fma.f64 1/6 (pow.f64 x 6) 1)))
(fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 6) 1)))
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 -1)
(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (pow.f64 x 2)))
(+.f64 (exp.f64 -1) (*.f64 (*.f64 x x) (exp.f64 -1)))
(*.f64 (fma.f64 x x 1) (exp.f64 -1))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))) (*.f64 (exp.f64 -1) (pow.f64 x 2))))
(+.f64 (exp.f64 -1) (fma.f64 1/2 (*.f64 (pow.f64 x 4) (exp.f64 -1)) (*.f64 (*.f64 x x) (exp.f64 -1))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (fma.f64 x x 1) (exp.f64 -1)))
(*.f64 (exp.f64 -1) (fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1)))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))) (*.f64 (exp.f64 -1) (pow.f64 x 2)))))
(+.f64 (exp.f64 -1) (fma.f64 1/6 (*.f64 (pow.f64 x 6) (exp.f64 -1)) (fma.f64 1/2 (*.f64 (pow.f64 x 4) (exp.f64 -1)) (*.f64 (*.f64 x x) (exp.f64 -1)))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 x 6) (exp.f64 -1)) (*.f64 1/2 (*.f64 (pow.f64 x 4) (exp.f64 -1)))) (*.f64 (fma.f64 x x 1) (exp.f64 -1)))
(fma.f64 1/6 (*.f64 (pow.f64 x 6) (exp.f64 -1)) (*.f64 (exp.f64 -1) (fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1))))
(*.f64 (exp.f64 -1) (fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 6) 1))))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))

prune36.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New48250
Fresh101
Picked101
Done011
Total50353
Error
0b
Counts
53 → 3
Alt Table
StatusErrorProgram
0.0b
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2) (exp.f64 -1))
▶0.0b
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓0.0b
(exp.f64 (fma.f64 x x -1))
Compiler

Compiled 564 to 394 computations (30.1% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))

series5.0ms (0.4%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
2.0ms
x
@-inf
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
2.0ms
x
@inf
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))

rewrite30.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
575×pow1_binary64
528×add-log-exp_binary64
528×log1p-expm1-u_binary64
528×expm1-log1p-u_binary64
514×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0711
11309
214689
Stop Event
1×node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (+.f64 -1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 -1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 -1 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 -1 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 x x)) 3) (pow.f64 (exp.f64 -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 (exp.f64 (*.f64 x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 -1 (*.f64 x x)))))))

simplify28.0ms (2%)

Algorithm
1×egg-herbie
Rules
710×distribute-lft-out_binary64
400×*-commutative_binary64
386×fma-def_binary64
338×associate-*l*_binary64
337×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
024153
160135
2150119
3475112
41914112
53878112
Stop Event
1×node limit
Counts
25 → 22
Calls
Call 1
Inputs
(exp.f64 -1)
(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (pow.f64 x 2)))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))) (*.f64 (exp.f64 -1) (pow.f64 x 2))))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))) (*.f64 (exp.f64 -1) (pow.f64 x 2)))))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
Outputs
(exp.f64 -1)
(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (pow.f64 x 2)))
(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (*.f64 x x)))
(*.f64 (+.f64 (*.f64 x x) 1) (exp.f64 -1))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))) (*.f64 (exp.f64 -1) (pow.f64 x 2))))
(+.f64 (exp.f64 -1) (fma.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (*.f64 (exp.f64 -1) (*.f64 x x))))
(+.f64 (exp.f64 -1) (fma.f64 (exp.f64 -1) (*.f64 x x) (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(*.f64 (exp.f64 -1) (+.f64 (*.f64 1/2 (pow.f64 x 4)) (fma.f64 x x 1)))
(*.f64 (exp.f64 -1) (fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1)))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))) (*.f64 (exp.f64 -1) (pow.f64 x 2)))))
(+.f64 (exp.f64 -1) (fma.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6)) (fma.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (*.f64 (exp.f64 -1) (*.f64 x x)))))
(+.f64 (exp.f64 -1) (fma.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6)) (fma.f64 (exp.f64 -1) (*.f64 x x) (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))))
(fma.f64 (exp.f64 -1) (*.f64 1/6 (pow.f64 x 6)) (*.f64 (exp.f64 -1) (+.f64 (*.f64 1/2 (pow.f64 x 4)) (fma.f64 x x 1))))
(*.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (fma.f64 1/2 (pow.f64 x 4) (*.f64 1/6 (pow.f64 x 6)))))
(*.f64 (exp.f64 -1) (+.f64 (*.f64 1/6 (pow.f64 x 6)) (fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1))))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))

prune15.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New22022
Fresh011
Picked011
Done011
Total22325
Error
0b
Counts
25 → 3
Alt Table
StatusErrorProgram
▶0.0b
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2) (exp.f64 -1))
✓0.0b
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓0.0b
(exp.f64 (fma.f64 x x -1))
Compiler

Compiled 260 to 195 computations (25% saved)

localize8.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (pow.f64 (exp.f64 x) x))
✓0.0b
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2)
✓0.0b
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2) (exp.f64 -1))

series17.0ms (1.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2)
3.0ms
x
@inf
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2)
3.0ms
x
@inf
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2) (exp.f64 -1))
2.0ms
x
@-inf
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2) (exp.f64 -1))
2.0ms
x
@inf
(sqrt.f64 (pow.f64 (exp.f64 x) x))

rewrite44.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
715×pow1_binary64
659×add-log-exp_binary64
659×log1p-expm1-u_binary64
659×expm1-log1p-u_binary64
81×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01025
119423
2186623
Stop Event
1×node limit
Counts
3 → 60
Calls
Call 1
Inputs
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2) (exp.f64 -1))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2)
(sqrt.f64 (pow.f64 (exp.f64 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 -1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 -1 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 -1 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (pow.f64 (exp.f64 -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 (pow.f64 (exp.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 -1 (*.f64 x x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (sqrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4) (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (pow.f64 (exp.f64 x) x) 1/4)) (pow.f64 (pow.f64 (exp.f64 x) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 x) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 x x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (cbrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4) (pow.f64 (pow.f64 (exp.f64 x) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (/.f64 x 2)) (sqrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (/.f64 x 2)) (pow.f64 (cbrt.f64 (exp.f64 x)) (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (/.f64 x 2)) (pow.f64 (sqrt.f64 (exp.f64 x)) (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (/.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (*.f64 (/.f64 x 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 x (/.f64 x 2)))))))

simplify31.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
714×fma-def_binary64
554×associate-*l*_binary64
524×distribute-rgt-out_binary64
515×distribute-lft-out_binary64
374×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043360
1111328
2278310
3797305
43124305
Stop Event
1×node limit
Counts
96 → 86
Calls
Call 1
Inputs
(exp.f64 -1)
(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (pow.f64 x 2)))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))) (*.f64 (exp.f64 -1) (pow.f64 x 2))))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))) (*.f64 (exp.f64 -1) (pow.f64 x 2)))))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 x 6)) (pow.f64 x 2))))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 1/48 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
Outputs
(exp.f64 -1)
(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (pow.f64 x 2)))
(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (*.f64 x x)))
(*.f64 (fma.f64 x x 1) (exp.f64 -1))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))) (*.f64 (exp.f64 -1) (pow.f64 x 2))))
(+.f64 (exp.f64 -1) (fma.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (*.f64 (exp.f64 -1) (*.f64 x x))))
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))) (*.f64 (fma.f64 x x 1) (exp.f64 -1)))
(*.f64 (exp.f64 -1) (fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) 1)))
(*.f64 (exp.f64 -1) (fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1)))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))) (*.f64 (exp.f64 -1) (pow.f64 x 2)))))
(+.f64 (exp.f64 -1) (fma.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6)) (fma.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (*.f64 (exp.f64 -1) (*.f64 x x)))))
(+.f64 (fma.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6)) (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))) (*.f64 (fma.f64 x x 1) (exp.f64 -1)))
(fma.f64 (exp.f64 -1) (*.f64 1/6 (pow.f64 x 6)) (*.f64 (exp.f64 -1) (fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) 1))))
(*.f64 (exp.f64 -1) (fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x (fma.f64 1/6 (pow.f64 x 6) 1))))
(*.f64 (exp.f64 -1) (fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 6) 1))))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 x x) 1)
(fma.f64 x x 1)
(+.f64 (*.f64 1/2 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 4) (+.f64 (*.f64 x x) 1))
(fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1))
(fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) 1))
(+.f64 (*.f64 1/2 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 1/2 (pow.f64 x 4) (+.f64 1 (fma.f64 1/6 (pow.f64 x 6) (*.f64 x x))))
(+.f64 (fma.f64 x x (*.f64 1/6 (pow.f64 x 6))) (fma.f64 1/2 (pow.f64 x 4) 1))
(fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x (fma.f64 1/6 (pow.f64 x 6) 1)))
(fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 6) 1)))
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) 1/2))
(fma.f64 (*.f64 x x) 1/2 1)
(fma.f64 x (*.f64 x 1/2) 1)
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 1/8 (pow.f64 x 4) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
(fma.f64 (pow.f64 x 4) 1/8 (fma.f64 (*.f64 x x) 1/2 1))
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) 1/8 1))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 1/48 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
(fma.f64 1/8 (pow.f64 x 4) (+.f64 1 (fma.f64 1/48 (pow.f64 x 6) (*.f64 (*.f64 x x) 1/2))))
(+.f64 (fma.f64 (*.f64 x x) 1/2 (*.f64 (pow.f64 x 6) 1/48)) (fma.f64 (pow.f64 x 4) 1/8 1))
(fma.f64 (pow.f64 x 4) 1/8 (fma.f64 (pow.f64 x 6) 1/48 (fma.f64 (*.f64 x x) 1/2 1)))
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) 1/8 (fma.f64 (pow.f64 x 6) 1/48 1)))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (*.f64 x x)))
(sqrt.f64 (pow.f64 (exp.f64 x) x))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (*.f64 x x)))
(sqrt.f64 (pow.f64 (exp.f64 x) x))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (*.f64 x x)))
(sqrt.f64 (pow.f64 (exp.f64 x) x))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (*.f64 x x)))
(sqrt.f64 (pow.f64 (exp.f64 x) x))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (*.f64 x x)))
(sqrt.f64 (pow.f64 (exp.f64 x) x))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (*.f64 x x)))
(sqrt.f64 (pow.f64 (exp.f64 x) x))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (*.f64 x x)))
(sqrt.f64 (pow.f64 (exp.f64 x) x))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (*.f64 x x)))
(sqrt.f64 (pow.f64 (exp.f64 x) x))

prune54.0ms (3.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New86086
Fresh000
Picked011
Done022
Total86389
Error
0b
Counts
89 → 3
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2) (exp.f64 -1))
✓0.0b
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓0.0b
(exp.f64 (fma.f64 x x -1))
Compiler

Compiled 1117 to 704 computations (37% saved)

regimes61.0ms (4.2%)

Accuracy

Total 0.0b remaining (55.1%)

Threshold costs 0.0b (55.1%)

Counts
12 → 1
Compiler

Compiled 671 to 507 computations (24.4% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1811
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
Outputs
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))

end50.0ms (3.5%)

Stop Event
1×done
Compiler

Compiled 41 to 31 computations (24.4% saved)

Profiling

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