Details

Time bar (total: 1.2s)

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)

sample773.0ms (66.4%)

Results
760.0ms8256×body128valid
0.0ms3×body128invalid
Compiler

Compiled 18 to 14 computations (22.2% saved)

preprocess27.0ms (2.3%)

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)

simplify18.0ms (1.6%)

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)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series1.0ms (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 (2.5%)

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 log1p.f64 (expm1.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))))))

simplify36.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
705×distribute-lft-out_binary64
385×*-commutative_binary64
343×associate-*l*_binary64
341×distribute-rgt-out_binary64
338×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02179
15175
212863
343056
4178656
5352556
6453356
Stop Event
1×node limit
Counts
24 → 27
Calls
Call 1
Inputs
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))))
Outputs
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1))
(*.f64 (+.f64 (*.f64 x x) 1) (exp.f64 -1))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1)) (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))
(fma.f64 (exp.f64 -1) (*.f64 x x) (fma.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (exp.f64 -1)))
(*.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 (*.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))))
(fma.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6)) (+.f64 (fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1)) (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6)) (fma.f64 (exp.f64 -1) (*.f64 x x) (fma.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (exp.f64 -1))))
(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 1/2 (pow.f64 x 4)) (fma.f64 1/6 (pow.f64 x 6) (fma.f64 x x 1))))
(*.f64 (exp.f64 -1) (+.f64 (fma.f64 1/2 (pow.f64 x 4) 1) (fma.f64 1/6 (pow.f64 x 6) (*.f64 x x))))

prune16.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New26127
Fresh000
Picked011
Done000
Total26228
Error
0.0b
Counts
28 → 2
Alt Table
StatusErrorProgram
▶0.0b
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
✓0.0b
(exp.f64 (fma.f64 x x -1))
Compiler

Compiled 298 to 226 computations (24.2% saved)

localize8.0ms (0.7%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (fma.f64 x x -1))
✓1.0b
(log1p.f64 (exp.f64 (fma.f64 x x -1)))
✓1.0b
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))

series59.0ms (5.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
28.0ms
x
@inf
(log1p.f64 (exp.f64 (fma.f64 x x -1)))
27.0ms
x
@-inf
(log1p.f64 (exp.f64 (fma.f64 x x -1)))
2.0ms
x
@0
(log1p.f64 (exp.f64 (fma.f64 x x -1)))
0.0ms
x
@0
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
0.0ms
x
@inf
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))

rewrite34.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
475×pow1_binary64
435×add-log-exp_binary64
435×expm1-log1p-u_binary64
434×log1p-expm1-u_binary64
425×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
110916
2117716
Stop Event
1×node limit
Counts
2 → 38
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
(log1p.f64 (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 (exp.f64 (fma.f64 x x -1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (fma.f64 x x -1)) 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 /.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 x x -1)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (exp.f64 (fma.f64 x x -1)) 1) (+.f64 (exp.f64 (fma.f64 x x -1)) 1)) (+.f64 1 (*.f64 (+.f64 (exp.f64 (fma.f64 x x -1)) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (exp.f64 (fma.f64 x x -1)) 1) (+.f64 (exp.f64 (fma.f64 x x -1)) 1)) 1) (+.f64 (+.f64 (exp.f64 (fma.f64 x x -1)) 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 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 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 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 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))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (exp.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1)))) (sqrt.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 (fma.f64 x x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1)))))))))

simplify28.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
722×associate-/l*_binary64
591×associate-/r*_binary64
264×distribute-rgt-in_binary64
256×distribute-lft-in_binary64
210×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060437
1154420
2464397
32182393
Stop Event
1×node limit
Counts
62 → 55
Calls
Call 1
Inputs
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(log.f64 (+.f64 1 (exp.f64 -1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 -1))) (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 1 (exp.f64 -1))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 -1))) (+.f64 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 1 (exp.f64 -1))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -12 (/.f64 (pow.f64 (exp.f64 -1) 2) (pow.f64 (+.f64 1 (exp.f64 -1)) 2))) (*.f64 12 (/.f64 (exp.f64 -1) (+.f64 1 (exp.f64 -1))))) (pow.f64 x 4)))))
(+.f64 (*.f64 1/720 (*.f64 (+.f64 (*.f64 -360 (/.f64 (pow.f64 (exp.f64 -1) 2) (pow.f64 (+.f64 1 (exp.f64 -1)) 2))) (+.f64 (*.f64 120 (/.f64 (exp.f64 -1) (+.f64 1 (exp.f64 -1)))) (*.f64 240 (/.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 (+.f64 1 (exp.f64 -1)) 3))))) (pow.f64 x 6))) (+.f64 (log.f64 (+.f64 1 (exp.f64 -1))) (+.f64 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 1 (exp.f64 -1))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -12 (/.f64 (pow.f64 (exp.f64 -1) 2) (pow.f64 (+.f64 1 (exp.f64 -1)) 2))) (*.f64 12 (/.f64 (exp.f64 -1) (+.f64 1 (exp.f64 -1))))) (pow.f64 x 4))))))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
Outputs
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1))
(*.f64 (+.f64 (*.f64 x x) 1) (exp.f64 -1))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1)) (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))
(fma.f64 (exp.f64 -1) (*.f64 x x) (fma.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (exp.f64 -1)))
(*.f64 (exp.f64 -1) (+.f64 (*.f64 1/2 (pow.f64 x 4)) (fma.f64 x x 1)))
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))))
(fma.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6)) (+.f64 (fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1)) (*.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6)) (fma.f64 (exp.f64 -1) (*.f64 x x) (fma.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (exp.f64 -1))))
(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 (*.f64 1/2 (pow.f64 x 4)) (fma.f64 x x 1)) (*.f64 1/6 (pow.f64 x 6))))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(log.f64 (+.f64 1 (exp.f64 -1)))
(log1p.f64 (exp.f64 -1))
(+.f64 (log.f64 (+.f64 1 (exp.f64 -1))) (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 1 (exp.f64 -1))))
(+.f64 (log1p.f64 (exp.f64 -1)) (/.f64 (*.f64 (exp.f64 -1) (*.f64 x x)) (+.f64 (exp.f64 -1) 1)))
(fma.f64 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)) (*.f64 x x) (log1p.f64 (exp.f64 -1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 -1))) (+.f64 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 1 (exp.f64 -1))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -12 (/.f64 (pow.f64 (exp.f64 -1) 2) (pow.f64 (+.f64 1 (exp.f64 -1)) 2))) (*.f64 12 (/.f64 (exp.f64 -1) (+.f64 1 (exp.f64 -1))))) (pow.f64 x 4)))))
(+.f64 (log1p.f64 (exp.f64 -1)) (+.f64 (/.f64 (*.f64 (exp.f64 -1) (*.f64 x x)) (+.f64 (exp.f64 -1) 1)) (*.f64 1/24 (*.f64 (pow.f64 x 4) (fma.f64 -12 (/.f64 (pow.f64 (exp.f64 -1) 2) (pow.f64 (+.f64 (exp.f64 -1) 1) 2)) (*.f64 12 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1))))))))
(+.f64 (log1p.f64 (exp.f64 -1)) (fma.f64 1/24 (*.f64 (pow.f64 x 4) (fma.f64 -12 (/.f64 (exp.f64 -2) (pow.f64 (+.f64 (exp.f64 -1) 1) 2)) (*.f64 12 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1))))) (/.f64 (*.f64 (exp.f64 -1) (*.f64 x x)) (+.f64 (exp.f64 -1) 1))))
(fma.f64 (pow.f64 x 4) (+.f64 (*.f64 (/.f64 (exp.f64 -2) (pow.f64 (+.f64 (exp.f64 -1) 1) 2)) -1/2) (*.f64 1/2 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)))) (fma.f64 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)) (*.f64 x x) (log1p.f64 (exp.f64 -1))))
(+.f64 (*.f64 1/720 (*.f64 (+.f64 (*.f64 -360 (/.f64 (pow.f64 (exp.f64 -1) 2) (pow.f64 (+.f64 1 (exp.f64 -1)) 2))) (+.f64 (*.f64 120 (/.f64 (exp.f64 -1) (+.f64 1 (exp.f64 -1)))) (*.f64 240 (/.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 (+.f64 1 (exp.f64 -1)) 3))))) (pow.f64 x 6))) (+.f64 (log.f64 (+.f64 1 (exp.f64 -1))) (+.f64 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 1 (exp.f64 -1))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -12 (/.f64 (pow.f64 (exp.f64 -1) 2) (pow.f64 (+.f64 1 (exp.f64 -1)) 2))) (*.f64 12 (/.f64 (exp.f64 -1) (+.f64 1 (exp.f64 -1))))) (pow.f64 x 4))))))
(fma.f64 1/720 (*.f64 (pow.f64 x 6) (fma.f64 -360 (/.f64 (pow.f64 (exp.f64 -1) 2) (pow.f64 (+.f64 (exp.f64 -1) 1) 2)) (fma.f64 120 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)) (*.f64 240 (/.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 (+.f64 (exp.f64 -1) 1) 3)))))) (+.f64 (log1p.f64 (exp.f64 -1)) (+.f64 (/.f64 (*.f64 (exp.f64 -1) (*.f64 x x)) (+.f64 (exp.f64 -1) 1)) (*.f64 1/24 (*.f64 (pow.f64 x 4) (fma.f64 -12 (/.f64 (pow.f64 (exp.f64 -1) 2) (pow.f64 (+.f64 (exp.f64 -1) 1) 2)) (*.f64 12 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)))))))))
(+.f64 (fma.f64 1/24 (*.f64 (pow.f64 x 4) (fma.f64 -12 (/.f64 (exp.f64 -2) (pow.f64 (+.f64 (exp.f64 -1) 1) 2)) (*.f64 12 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1))))) (/.f64 (*.f64 (exp.f64 -1) (*.f64 x x)) (+.f64 (exp.f64 -1) 1))) (fma.f64 (*.f64 1/720 (fma.f64 (/.f64 (exp.f64 -2) (pow.f64 (+.f64 (exp.f64 -1) 1) 2)) -360 (fma.f64 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)) 120 (/.f64 (*.f64 240 (pow.f64 (exp.f64 -1) 3)) (pow.f64 (+.f64 (exp.f64 -1) 1) 3))))) (pow.f64 x 6) (log1p.f64 (exp.f64 -1))))
(fma.f64 (pow.f64 x 6) (*.f64 1/720 (fma.f64 (/.f64 (exp.f64 -2) (pow.f64 (+.f64 (exp.f64 -1) 1) 2)) -360 (fma.f64 240 (pow.f64 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)) 3) (*.f64 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)) 120)))) (fma.f64 (pow.f64 x 4) (+.f64 (*.f64 (/.f64 (exp.f64 -2) (pow.f64 (+.f64 (exp.f64 -1) 1) 2)) -1/2) (*.f64 1/2 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)))) (fma.f64 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)) (*.f64 x x) (log1p.f64 (exp.f64 -1)))))
(fma.f64 (pow.f64 x 6) (fma.f64 1/720 (*.f64 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)) (+.f64 (*.f64 -360 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1))) 120)) (*.f64 (/.f64 (exp.f64 -3) (pow.f64 (+.f64 (exp.f64 -1) 1) 3)) 1/3)) (fma.f64 (pow.f64 x 4) (+.f64 (*.f64 (/.f64 (exp.f64 -2) (pow.f64 (+.f64 (exp.f64 -1) 1) 2)) -1/2) (*.f64 1/2 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)))) (fma.f64 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)) (*.f64 x x) (log1p.f64 (exp.f64 -1)))))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
(log1p.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
(log1p.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
(log1p.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
(log1p.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
(log1p.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
(log1p.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
(log1p.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
(log1p.f64 (exp.f64 (fma.f64 x x -1)))

prune51.0ms (4.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh000
Picked011
Done011
Total82284
Error
0.0b
Counts
84 → 2
Alt Table
StatusErrorProgram
✓0.0b
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
✓0.0b
(exp.f64 (fma.f64 x x -1))
Compiler

Compiled 1177 to 966 computations (17.9% saved)

regimes28.0ms (2.4%)

Accuracy

Total 0.0b remaining (4.3%)

Threshold costs 0.0b (4.3%)

Counts
9 → 1
Compiler

Compiled 116 to 82 computations (29.3% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
Stop Event
1×saturated
Calls
Call 1
Inputs
(exp.f64 (fma.f64 x x -1))
Outputs
(exp.f64 (fma.f64 x x -1))

end45.0ms (3.9%)

Stop Event
1×done
Compiler

Compiled 26 to 18 computations (30.8% saved)

Profiling

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