Details

Time bar (total: 1.4s)

analyze5.0ms (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)

sample909.0ms (65.1%)

Results
894.0ms8256×body128valid
0.0ms4×body128invalid
Compiler

Compiled 18 to 14 computations (22.2% saved)

preprocess32.0ms (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)

simplify19.0ms (1.4%)

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))

rewrite28.0ms (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))))))))

simplify36.0ms (2.5%)

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)))))

prune15.0ms (1.1%)

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
63.5b
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
▶0.0b
(pow.f64 (exp.f64 1) (fma.f64 x x -1))
✓0.0b
(exp.f64 (fma.f64 x x -1))
Compiler

Compiled 324 to 245 computations (24.4% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite29.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
519×pow1_binary64
481×add-log-exp_binary64
477×log1p-expm1-u_binary64
477×expm1-log1p-u_binary64
473×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11277
213107
Stop Event
1×node limit
Counts
1 → 18
Calls
Call 1
Inputs
(pow.f64 (exp.f64 1) (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 1 (exp.f64 (fma.f64 x x -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 (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 (pow.f64 1 (fma.f64 x x -1)) (exp.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (E.f64)) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (*.f64 x x)) (pow.f64 (E.f64) -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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 x x -1))))))

simplify43.0ms (3%)

Algorithm
1×egg-herbie
Rules
710×distribute-lft-out_binary64
395×*-commutative_binary64
385×fma-def_binary64
341×associate-*l*_binary64
337×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
024137
159135
2147119
3473112
41904112
53832112
Stop Event
1×node limit
Counts
30 → 25
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)))))
(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))
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)))))
(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))

prune18.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New24125
Fresh101
Picked011
Done011
Total25328
Error
0.0b
Counts
28 → 3
Alt Table
StatusErrorProgram
✓0.0b
(pow.f64 (exp.f64 1) (fma.f64 x x -1))
▶0.0b
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)))
✓0.0b
(exp.f64 (fma.f64 x x -1))
Compiler

Compiled 314 to 229 computations (27.1% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)))
✓0.0b
(pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1))

series5.0ms (0.4%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1))
1.0ms
x
@0
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)))
1.0ms
x
@inf
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)))
1.0ms
x
@-inf
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)))
0.0ms
x
@inf
(pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1))

rewrite38.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
664×pow1_binary64
617×add-log-exp_binary64
616×log1p-expm1-u_binary64
616×expm1-log1p-u_binary64
78×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0820
116416
2192416
Stop Event
1×node limit
Counts
2 → 42
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (fma.f64 x x -1)) (sqrt.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (E.f64)) (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (exp.f64 1/2)) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (*.f64 (fma.f64 x x -1) 1/2)) (sqrt.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (*.f64 (fma.f64 x x -1) 1/2)) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 (fma.f64 x x -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (E.f64) 1/4) (fma.f64 x x -1)) (pow.f64 (pow.f64 (E.f64) 1/4) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)) (pow.f64 (exp.f64 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 x x -1) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (/.f64 (*.f64 (fma.f64 x x -1) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (*.f64 (fma.f64 x x -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (*.f64 (*.f64 (fma.f64 x x -1) 2) 1))))) (#(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 (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 (exp.f64 2) (*.f64 (fma.f64 x x -1) 1/2))))) (#(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 (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 (pow.f64 (E.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 (pow.f64 (E.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 2) (fma.f64 x x -1)))))) (#(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 log.f64 (+.f64 1 (expm1.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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 x x -1))))))

simplify27.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
979×fma-def_binary64
521×*-commutative_binary64
387×associate-/l*_binary64
328×associate-/r*_binary64
249×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057493
1171483
2441465
31808448
Stop Event
1×node limit
Counts
66 → 62
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 1 (exp.f64 1)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (*.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (exp.f64 1))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 1))) 2) (pow.f64 x 4)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (*.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (exp.f64 1)))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 1))) 2) (pow.f64 x 4)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (*.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 1))) 3) (pow.f64 x 6)))) (sqrt.f64 (/.f64 1 (exp.f64 1))))))
(pow.f64 (sqrt.f64 (exp.f64 1)) (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (exp.f64 1)) (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (exp.f64 1)) (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (exp.f64 1)) (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (exp.f64 1)) (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (exp.f64 1)) (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (exp.f64 1)) (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (exp.f64 1)) (fma.f64 x x -1))
(/.f64 1 (E.f64))
(+.f64 (/.f64 1 (E.f64)) (*.f64 2 (/.f64 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (pow.f64 x 2)) (E.f64))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (pow.f64 x 4)) (E.f64))) (+.f64 (/.f64 1 (E.f64)) (*.f64 2 (/.f64 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (pow.f64 x 2)) (E.f64)))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (pow.f64 x 4)) (E.f64))) (+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3) (pow.f64 x 6)) (E.f64))) (+.f64 (/.f64 1 (E.f64)) (*.f64 2 (/.f64 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (pow.f64 x 2)) (E.f64))))))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) 2)
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) 2)
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) 2)
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) 2)
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) 2)
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) 2)
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) 2)
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) 2)
Outputs
(sqrt.f64 (/.f64 1 (exp.f64 1)))
(sqrt.f64 (exp.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (*.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (exp.f64 1))))
(fma.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 (*.f64 x x) (log.f64 (sqrt.f64 (E.f64)))) (sqrt.f64 (exp.f64 -1)))
(*.f64 (+.f64 (*.f64 (*.f64 x x) (log.f64 (sqrt.f64 (E.f64)))) 1) (sqrt.f64 (exp.f64 -1)))
(*.f64 (sqrt.f64 (exp.f64 -1)) (fma.f64 x (*.f64 x (log.f64 (sqrt.f64 (E.f64)))) 1))
(*.f64 (sqrt.f64 (exp.f64 -1)) (fma.f64 (*.f64 x x) (log.f64 (sqrt.f64 (E.f64))) 1))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 1))) 2) (pow.f64 x 4)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (*.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (exp.f64 1)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 (pow.f64 x 4) (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2))) (fma.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 (*.f64 x x) (log.f64 (sqrt.f64 (E.f64)))) (sqrt.f64 (exp.f64 -1))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 (pow.f64 x 4) (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (log.f64 (sqrt.f64 (E.f64)))) 1) (sqrt.f64 (exp.f64 -1))))
(*.f64 (sqrt.f64 (exp.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 4) (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2))) (fma.f64 x (*.f64 x (log.f64 (sqrt.f64 (E.f64)))) 1)))
(*.f64 (sqrt.f64 (exp.f64 -1)) (fma.f64 1/2 (*.f64 (pow.f64 x 4) (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (fma.f64 (*.f64 x x) (log.f64 (sqrt.f64 (E.f64))) 1)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 1))) 2) (pow.f64 x 4)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (*.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 1))) 3) (pow.f64 x 6)))) (sqrt.f64 (/.f64 1 (exp.f64 1))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 (pow.f64 x 4) (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2))) (fma.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 (*.f64 x x) (log.f64 (sqrt.f64 (E.f64)))) (fma.f64 1/6 (*.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 (pow.f64 x 6) (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3))) (sqrt.f64 (exp.f64 -1)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 (pow.f64 x 4) (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2))) (fma.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 (*.f64 x x) (log.f64 (sqrt.f64 (E.f64)))) (fma.f64 1/6 (*.f64 (*.f64 (sqrt.f64 (exp.f64 -1)) (pow.f64 x 6)) (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3)) (sqrt.f64 (exp.f64 -1)))))
(fma.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 1/2 (*.f64 (pow.f64 x 4) (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2))) (*.f64 (sqrt.f64 (exp.f64 -1)) (+.f64 (fma.f64 x (*.f64 x (log.f64 (sqrt.f64 (E.f64)))) 1) (*.f64 1/6 (*.f64 (pow.f64 x 6) (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3))))))
(*.f64 (sqrt.f64 (exp.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 4) (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2))) (fma.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3) (*.f64 1/6 (pow.f64 x 6)) (fma.f64 (*.f64 x x) (log.f64 (sqrt.f64 (E.f64))) 1))))
(pow.f64 (sqrt.f64 (exp.f64 1)) (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (exp.f64 1)) (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (exp.f64 1)) (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (exp.f64 1)) (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (exp.f64 1)) (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (exp.f64 1)) (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (exp.f64 1)) (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (exp.f64 1)) (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1))
(/.f64 1 (E.f64))
(exp.f64 -1)
(+.f64 (/.f64 1 (E.f64)) (*.f64 2 (/.f64 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (pow.f64 x 2)) (E.f64))))
(+.f64 (exp.f64 -1) (*.f64 2 (/.f64 (log.f64 (sqrt.f64 (E.f64))) (/.f64 (E.f64) (*.f64 x x)))))
(fma.f64 2 (/.f64 (log.f64 (sqrt.f64 (E.f64))) (/.f64 (E.f64) (*.f64 x x))) (exp.f64 -1))
(fma.f64 2 (*.f64 (/.f64 (*.f64 x x) (E.f64)) (log.f64 (sqrt.f64 (E.f64)))) (exp.f64 -1))
(fma.f64 (/.f64 2 (/.f64 (/.f64 (E.f64) x) (log.f64 (sqrt.f64 (E.f64))))) x (exp.f64 -1))
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (pow.f64 x 4)) (E.f64))) (+.f64 (/.f64 1 (E.f64)) (*.f64 2 (/.f64 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (pow.f64 x 2)) (E.f64)))))
(fma.f64 2 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (/.f64 (E.f64) (pow.f64 x 4))) (+.f64 (exp.f64 -1) (*.f64 2 (/.f64 (log.f64 (sqrt.f64 (E.f64))) (/.f64 (E.f64) (*.f64 x x))))))
(fma.f64 2 (*.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (E.f64)) (pow.f64 x 4)) (fma.f64 2 (/.f64 (log.f64 (sqrt.f64 (E.f64))) (/.f64 (E.f64) (*.f64 x x))) (exp.f64 -1)))
(fma.f64 2 (*.f64 (/.f64 (*.f64 x x) (E.f64)) (log.f64 (sqrt.f64 (E.f64)))) (fma.f64 2 (*.f64 (pow.f64 x 4) (/.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (E.f64))) (exp.f64 -1)))
(fma.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (+.f64 (/.f64 x (/.f64 (E.f64) x)) (*.f64 (/.f64 (log.f64 (sqrt.f64 (E.f64))) (E.f64)) (pow.f64 x 4)))) (exp.f64 -1))
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (pow.f64 x 4)) (E.f64))) (+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3) (pow.f64 x 6)) (E.f64))) (+.f64 (/.f64 1 (E.f64)) (*.f64 2 (/.f64 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (pow.f64 x 2)) (E.f64))))))
(fma.f64 2 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (/.f64 (E.f64) (pow.f64 x 4))) (fma.f64 4/3 (/.f64 (*.f64 (pow.f64 x 6) (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3)) (E.f64)) (+.f64 (exp.f64 -1) (*.f64 2 (/.f64 (log.f64 (sqrt.f64 (E.f64))) (/.f64 (E.f64) (*.f64 x x)))))))
(fma.f64 2 (*.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (E.f64)) (pow.f64 x 4)) (fma.f64 4/3 (*.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3) (E.f64)) (pow.f64 x 6)) (fma.f64 2 (/.f64 (log.f64 (sqrt.f64 (E.f64))) (/.f64 (E.f64) (*.f64 x x))) (exp.f64 -1))))
(fma.f64 2 (*.f64 (pow.f64 x 4) (/.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (E.f64))) (fma.f64 4/3 (*.f64 (/.f64 (pow.f64 x 6) (E.f64)) (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3)) (fma.f64 2 (*.f64 (/.f64 (*.f64 x x) (E.f64)) (log.f64 (sqrt.f64 (E.f64)))) (exp.f64 -1))))
(fma.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (+.f64 (/.f64 x (/.f64 (E.f64) x)) (*.f64 (/.f64 (log.f64 (sqrt.f64 (E.f64))) (E.f64)) (pow.f64 x 4)))) (fma.f64 4/3 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3) (/.f64 (pow.f64 x 6) (E.f64))) (exp.f64 -1)))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) 2)
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) 2)
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) 2)
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) 2)
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) 2)
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) 2)
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) 2)
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) 2)
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (fma.f64 x x -1)))

prune75.0ms (5.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh000
Picked011
Done022
Total93396
Error
0.0b
Counts
96 → 3
Alt Table
StatusErrorProgram
✓0.0b
(pow.f64 (exp.f64 1) (fma.f64 x x -1))
✓0.0b
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)))
✓0.0b
(exp.f64 (fma.f64 x x -1))
Compiler

Compiled 1800 to 1196 computations (33.6% saved)

regimes41.0ms (2.9%)

Accuracy

Total 0.0b remaining (56.2%)

Threshold costs 0.0b (56.2%)

Counts
13 → 1
Compiler

Compiled 157 to 106 computations (32.5% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
1×e-exp-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
189
2109
Stop Event
1×saturated
Calls
Call 1
Inputs
(pow.f64 (E.f64) (fma.f64 x x -1))
Outputs
(pow.f64 (E.f64) (fma.f64 x x -1))

end55.0ms (3.9%)

Stop Event
1×done
Compiler

Compiled 44 to 30 computations (31.8% saved)

Profiling

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