Details

Time bar (total: 1.4s)

analyze2.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.6%0.2%0.2%11
99.6%0.1%0.3%12
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample794.0ms (58.4%)

Results
776.0ms8208×body256valid
4.0ms24×body512valid
4.0ms24×body1024valid
0.0ms1×body256invalid

preprocess53.0ms (3.9%)

Algorithm
2×egg-herbie
Rules
2×fma-neg_binary64
1×+-commutative_binary64
1×*-commutative_binary64
1×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
1115
2135
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (*.f64 x 116) 16)
Outputs
(-.f64 (*.f64 x 116) 16)
(fma.f64 x 116 -16)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
2×fma-neg_binary64
1×+-commutative_binary64
1×*-commutative_binary64
1×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
1115
2135
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (*.f64 x 116) 16)
Outputs
(-.f64 (*.f64 x 116) 16)
(fma.f64 x 116 -16)

eval0.0ms (0%)

Compiler

Compiled 10 to 8 computations (20% saved)

prune3.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(-.f64 (*.f64 x 116) 16)
▶0b
(fma.f64 x 116 -16)
Compiler

Compiled 11 to 9 computations (18.2% saved)

localize3.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 x 116 -16)
✓0.0b
(fma.f64 x 116 -16)
Compiler

Compiled 8 to 6 computations (25% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(fma.f64 x 116 -16)
0.0ms
x
@inf
(fma.f64 x 116 -16)
0.0ms
x
@0
(fma.f64 x 116 -16)

rewrite33.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
434×pow1_binary64
430×add-sqr-sqrt_binary64
417×*-un-lft-identity_binary64
408×add-log-exp_binary64
408×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
11025
210735
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(fma.f64 x 116 -16)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -16 (*.f64 x 116))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 116) -16)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 116 -16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 116) 1) -16)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 116 -16)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 116 -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 116 -16))) (cbrt.f64 (exp.f64 (fma.f64 x 116 -16))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 116 -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 116 -16)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 116 -16) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 116 -16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 116 -16)) (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2) (cbrt.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 116 -16)) (sqrt.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 116) 3) -4096) (fma.f64 (*.f64 x 116) (*.f64 x 116) (-.f64 256 (*.f64 (*.f64 x 116) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x 116) (*.f64 x 116) -256) (fma.f64 x 116 16))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 116 -16) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 116 -16) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 116 -16)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 116 -16)))))))

simplify7.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
2×fma-neg_binary64
1×+-commutative_binary64
1×*-commutative_binary64
1×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0754
11154
21354
Stop Event
1×saturated
Counts
36 → 28
Calls
Call 1
Inputs
-16
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
Outputs
-16
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 x 116) 16)
✓0.0b
(-.f64 (*.f64 x 116) 16)
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (*.f64 x 116) 16)
0.0ms
x
@-inf
(-.f64 (*.f64 x 116) 16)
0.0ms
x
@inf
(-.f64 (*.f64 x 116) 16)

rewrite36.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
644×pow1_binary64
610×add-log-exp_binary64
610×log1p-expm1-u_binary64
610×expm1-log1p-u_binary64
601×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
11365
216025
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(-.f64 (*.f64 x 116) 16)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 116) -16)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -16 (*.f64 x 116))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 116 -16) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 116 -16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 116 -16)) (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2) (cbrt.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 116 -16)) (sqrt.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1560896 (pow.f64 x 3)) -4096) (/.f64 1 (+.f64 (*.f64 13456 (*.f64 x x)) (+.f64 256 (*.f64 x 1856)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 13456 (*.f64 x x)) -256) (/.f64 1 (fma.f64 x 116 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 13456 (*.f64 x x)) (+.f64 256 (*.f64 x 1856))) (+.f64 (*.f64 1560896 (pow.f64 x 3)) -4096)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 116 16) (+.f64 (*.f64 13456 (*.f64 x x)) -256)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1560896 (pow.f64 x 3)) -4096) (+.f64 (*.f64 13456 (*.f64 x x)) (+.f64 256 (*.f64 x 1856))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1560896 (pow.f64 x 3)) -4096) (+.f64 (*.f64 13456 (*.f64 x x)) (-.f64 256 (*.f64 (*.f64 x 116) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 13456 (*.f64 x x)) -256) (fma.f64 x 116 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 13456 (*.f64 x x)) -256) (-.f64 (*.f64 x 116) -16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1560896 (pow.f64 x 3)) -4096)) (neg.f64 (+.f64 (*.f64 13456 (*.f64 x x)) (+.f64 256 (*.f64 x 1856)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 13456 (*.f64 x x)) -256)) (neg.f64 (fma.f64 x 116 16)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 116 -16) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 116 -16) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 116 -16)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 116 -16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 116 x -16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 116) -16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 116)) 2) (cbrt.f64 (*.f64 x 116)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 116)) (sqrt.f64 (*.f64 x 116)) -16)))))

simplify8.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
2×fma-neg_binary64
1×+-commutative_binary64
1×*-commutative_binary64
1×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0754
11154
21354
Stop Event
1×saturated
Counts
44 → 35
Calls
Call 1
Inputs
-16
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
Outputs
-16
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)

eval14.0ms (1%)

Compiler

Compiled 572 to 461 computations (19.4% saved)

prune9.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New60363
Fresh000
Picked011
Done101
Total61465
Error
0b
Counts
65 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(-.f64 (*.f64 x 116) 16)
▶32.0b
(*.f64 116 x)
▶15.1b
(/.f64 (+.f64 (*.f64 13456 (*.f64 x x)) -256) (-.f64 (*.f64 x 116) -16))
31.0b
-16
Compiler

Compiled 26 to 21 computations (19.2% saved)

localize16.0ms (1.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
14.1b
(/.f64 (+.f64 (*.f64 13456 (*.f64 x x)) -256) (-.f64 (*.f64 x 116) -16))
0.2b
(*.f64 13456 (*.f64 x x))
0.0b
(-.f64 (*.f64 x 116) -16)
✓0.0b
(-.f64 (*.f64 x 116) -16)
✓0.2b
(*.f64 13456 (*.f64 x x))
✓14.1b
(/.f64 (+.f64 (*.f64 13456 (*.f64 x x)) -256) (-.f64 (*.f64 x 116) -16))
Compiler

Compiled 42 to 27 computations (35.7% saved)

series3.0ms (0.3%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (+.f64 (*.f64 13456 (*.f64 x x)) -256) (-.f64 (*.f64 x 116) -16))
1.0ms
x
@inf
(/.f64 (+.f64 (*.f64 13456 (*.f64 x x)) -256) (-.f64 (*.f64 x 116) -16))
0.0ms
x
@inf
(*.f64 13456 (*.f64 x x))
0.0ms
x
@0
(*.f64 13456 (*.f64 x x))
0.0ms
x
@-inf
(/.f64 (+.f64 (*.f64 13456 (*.f64 x x)) -256) (-.f64 (*.f64 x 116) -16))

rewrite72.0ms (5.3%)

Algorithm
1×batch-egg-rewrite
Rules
563×log-prod_binary64
321×prod-diff_binary64
320×pow2_binary64
282×fma-def_binary64
246×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01227
127417
2352817
Stop Event
1×node limit
Counts
3 → 120
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 13456 (*.f64 x x)) -256) (-.f64 (*.f64 x 116) -16))
(*.f64 13456 (*.f64 x x))
(-.f64 (*.f64 x 116) -16)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 116) -16)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -16 (*.f64 x 116))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 116 -16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 116 -16))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 116 -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 116 -16)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 116 -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 116) 16)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 116 -16))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 13456 x) -256) (/.f64 1 (fma.f64 x 116 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 116 -16) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 116 -16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 116 -16)) (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2) (cbrt.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 13456 x) -256)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 13456 x) -256)) (/.f64 1 (fma.f64 x 116 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 116 -16)) (sqrt.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 13456 x) -256)) (*.f64 (sqrt.f64 (fma.f64 x (*.f64 13456 x) -256)) (/.f64 1 (fma.f64 x 116 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x (*.f64 13456 x) -256)) (/.f64 1 (neg.f64 (fma.f64 x 116 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 116 16)) (fma.f64 x (*.f64 13456 x) -256))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 13456 x) -256)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 13456 x) -256)) (fma.f64 x 116 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x (*.f64 13456 x) -256)) 1) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 13456 x) -256)) (fma.f64 x 116 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 116 16)) -2) (/.f64 (fma.f64 x (*.f64 13456 x) -256) (cbrt.f64 (fma.f64 x 116 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 13456 x) -256)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 116 16)) 2)) (cbrt.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x (*.f64 13456 x) -256)) (pow.f64 (cbrt.f64 (fma.f64 x 116 16)) 2)) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 13456 x) -256)) (cbrt.f64 (fma.f64 x 116 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 116 16) -1/2) (/.f64 (fma.f64 x (*.f64 13456 x) -256) (sqrt.f64 (fma.f64 x 116 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-16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 181063936 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 116)) 2)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 116 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 116 (sqrt.f64 x)) (sqrt.f64 x) -16)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 13456 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 13456 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 13456 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 13456 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 13456 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 13456 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 13456 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 116) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 181063936 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 116)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2436396322816 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 181063936 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 13456 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 13456 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 2436396322816 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 13456 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x 116))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 116))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 13456 (*.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 116) 16)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 16 (*.f64 x 116))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 116 16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 116 16))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 116 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 116 16)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 116 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 13456 x) -256) (/.f64 1 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 116 16) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 116 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 116 16)) (pow.f64 (cbrt.f64 (fma.f64 x 116 16)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 116 16)) 2) (cbrt.f64 (fma.f64 x 116 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 116 16)) (sqrt.f64 (fma.f64 x 116 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1560896 (pow.f64 x 3) 4096) (/.f64 1 (fma.f64 13456 (*.f64 x x) (fma.f64 x -1856 256))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (*.f64 13456 x) -256) (fma.f64 x 116 -16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 13456 (*.f64 x x) (fma.f64 x -1856 256)) (fma.f64 1560896 (pow.f64 x 3) 4096)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 116 -16) (fma.f64 x (*.f64 13456 x) -256)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x (*.f64 13456 x) -256)) (neg.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1560896 (pow.f64 x 3) 4096) (fma.f64 13456 (*.f64 x x) (fma.f64 x -1856 256)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1560896 (pow.f64 x 3) 4096) (fma.f64 13456 (*.f64 x x) (-.f64 256 (*.f64 (*.f64 x 116) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1560896 (pow.f64 x 3) 4096)) (neg.f64 (fma.f64 13456 (*.f64 x x) (fma.f64 x -1856 256))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 116 16) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 116 16) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 116 16) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 116 16)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 116 16)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 13456 (*.f64 x x) (fma.f64 x -1856 256)) (fma.f64 1560896 (pow.f64 x 3) 4096)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 116 -16) (fma.f64 x (*.f64 13456 x) -256)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 116 16) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 116 16)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 116 16))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 116 16) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 116 16)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 116 16)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 116 16)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 116 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 116 16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 116 x 16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 116) 1 16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 116) 16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 116)) (pow.f64 (cbrt.f64 (*.f64 x 116)) 2) 16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 116)) 2) (cbrt.f64 (*.f64 x 116)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 116) 16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 116)) (sqrt.f64 (*.f64 x 116)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 116) 16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 13456 x)) (sqrt.f64 x) 16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 181063936 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 116)) 2)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 116 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 116 (sqrt.f64 x)) (sqrt.f64 x) 16)))))

simplify134.0ms (9.9%)

Algorithm
1×egg-herbie
Rules
1126×sqr-pow_binary64
565×cube-prod_binary64
558×fabs-mul_binary64
541×pow-sqr_binary64
509×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012210
123192
238192
363192
4140192
5403192
61427192
72336192
82500192
92712192
102932192
113233192
123635192
134121192
144680192
155368192
166203192
176595192
186885192
197161192
207233192
217267192
Stop Event
1×node limit
Counts
156 → 127
Calls
Call 1
Inputs
-16
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(*.f64 13456 (pow.f64 x 2))
(*.f64 13456 (pow.f64 x 2))
(*.f64 13456 (pow.f64 x 2))
(*.f64 13456 (pow.f64 x 2))
(*.f64 13456 (pow.f64 x 2))
(*.f64 13456 (pow.f64 x 2))
(*.f64 13456 (pow.f64 x 2))
(*.f64 13456 (pow.f64 x 2))
(*.f64 13456 (pow.f64 x 2))
(*.f64 13456 (pow.f64 x 2))
(*.f64 13456 (pow.f64 x 2))
(*.f64 13456 (pow.f64 x 2))
16
(+.f64 16 (*.f64 116 x))
(+.f64 16 (*.f64 116 x))
(+.f64 16 (*.f64 116 x))
(*.f64 116 x)
(+.f64 16 (*.f64 116 x))
(+.f64 16 (*.f64 116 x))
(+.f64 16 (*.f64 116 x))
(*.f64 116 x)
(+.f64 16 (*.f64 116 x))
(+.f64 16 (*.f64 116 x))
(+.f64 16 (*.f64 116 x))
Outputs
-16
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(*.f64 13456 (pow.f64 x 2))
(*.f64 13456 (*.f64 x x))
(*.f64 x (*.f64 x 13456))
(*.f64 13456 (pow.f64 x 2))
(*.f64 13456 (*.f64 x x))
(*.f64 x (*.f64 x 13456))
(*.f64 13456 (pow.f64 x 2))
(*.f64 13456 (*.f64 x x))
(*.f64 x (*.f64 x 13456))
(*.f64 13456 (pow.f64 x 2))
(*.f64 13456 (*.f64 x x))
(*.f64 x (*.f64 x 13456))
(*.f64 13456 (pow.f64 x 2))
(*.f64 13456 (*.f64 x x))
(*.f64 x (*.f64 x 13456))
(*.f64 13456 (pow.f64 x 2))
(*.f64 13456 (*.f64 x x))
(*.f64 x (*.f64 x 13456))
(*.f64 13456 (pow.f64 x 2))
(*.f64 13456 (*.f64 x x))
(*.f64 x (*.f64 x 13456))
(*.f64 13456 (pow.f64 x 2))
(*.f64 13456 (*.f64 x x))
(*.f64 x (*.f64 x 13456))
(*.f64 13456 (pow.f64 x 2))
(*.f64 13456 (*.f64 x x))
(*.f64 x (*.f64 x 13456))
(*.f64 13456 (pow.f64 x 2))
(*.f64 13456 (*.f64 x x))
(*.f64 x (*.f64 x 13456))
(*.f64 13456 (pow.f64 x 2))
(*.f64 13456 (*.f64 x x))
(*.f64 x (*.f64 x 13456))
(*.f64 13456 (pow.f64 x 2))
(*.f64 13456 (*.f64 x x))
(*.f64 x (*.f64 x 13456))
16
(+.f64 16 (*.f64 116 x))
(+.f64 (*.f64 116 x) 16)
(fma.f64 116 x 16)
(+.f64 16 (*.f64 116 x))
(+.f64 (*.f64 116 x) 16)
(fma.f64 116 x 16)
(+.f64 16 (*.f64 116 x))
(+.f64 (*.f64 116 x) 16)
(fma.f64 116 x 16)
(*.f64 116 x)
(+.f64 16 (*.f64 116 x))
(+.f64 (*.f64 116 x) 16)
(fma.f64 116 x 16)
(+.f64 16 (*.f64 116 x))
(+.f64 (*.f64 116 x) 16)
(fma.f64 116 x 16)
(+.f64 16 (*.f64 116 x))
(+.f64 (*.f64 116 x) 16)
(fma.f64 116 x 16)
(*.f64 116 x)
(+.f64 16 (*.f64 116 x))
(+.f64 (*.f64 116 x) 16)
(fma.f64 116 x 16)
(+.f64 16 (*.f64 116 x))
(+.f64 (*.f64 116 x) 16)
(fma.f64 116 x 16)
(+.f64 16 (*.f64 116 x))
(+.f64 (*.f64 116 x) 16)
(fma.f64 116 x 16)

localize4.0ms (0.3%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

eval54.0ms (4%)

Compiler

Compiled 1843 to 1394 computations (24.4% saved)

prune21.0ms (1.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh011
Picked011
Done022
Total1274131
Error
0b
Counts
131 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(-.f64 (*.f64 x 116) 16)
✓32.0b
(*.f64 116 x)
✓15.1b
(/.f64 (+.f64 (*.f64 13456 (*.f64 x x)) -256) (-.f64 (*.f64 x 116) -16))
31.0b
-16
Compiler

Compiled 26 to 21 computations (19.2% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Error
0b
Counts
4 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(-.f64 (*.f64 x 116) 16)
✓32.0b
(*.f64 116 x)
✓15.1b
(/.f64 (+.f64 (*.f64 13456 (*.f64 x x)) -256) (-.f64 (*.f64 x 116) -16))
31.0b
-16
Compiler

Compiled 26 to 21 computations (19.2% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Error
0b
Counts
4 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(-.f64 (*.f64 x 116) 16)
✓32.0b
(*.f64 116 x)
✓15.1b
(/.f64 (+.f64 (*.f64 13456 (*.f64 x x)) -256) (-.f64 (*.f64 x 116) -16))
31.0b
-16
Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes12.0ms (0.9%)

Counts
4 → 1
Calls
Call 1
Inputs
-16
(*.f64 116 x)
(-.f64 (*.f64 x 116) 16)
(/.f64 (+.f64 (*.f64 13456 (*.f64 x x)) -256) (-.f64 (*.f64 x 116) -16))
Outputs
(-.f64 (*.f64 x 116) 16)
Calls

3 calls:

4.0ms
x
4.0ms
(*.f64 x 116)
3.0ms
(-.f64 (*.f64 x 116) 16)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(-.f64 (*.f64 x 116) 16)
0.0b1(*.f64 x 116)
Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes10.0ms (0.7%)

Accuracy

Total -60.3b remaining (-4405.1%)

Threshold costs -60.3b (-4405.1%)

Counts
2 → 3
Calls
Call 1
Inputs
-16
(*.f64 116 x)
Outputs
(*.f64 116 x)
-16
(*.f64 116 x)
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
1.4b3x
Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch25.0ms (1.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
12.0ms
0.0029421815227809534
1888.8247890618795
12.0ms
-251682915.918413
-0.0057880256772278186
Compiler

Compiled 10 to 8 computations (20% saved)

simplify2.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×*-commutative_binary64
1×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01529
11929
22029
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x 116) 16)
(if (<=.f64 x -8445077287746107/33554432) (*.f64 116 x) (if (<=.f64 x 3392104348071081/1152921504606846976) -16 (*.f64 116 x)))
-16
Outputs
(-.f64 (*.f64 x 116) 16)
(+.f64 (*.f64 x 116) -16)
(if (<=.f64 x -8445077287746107/33554432) (*.f64 116 x) (if (<=.f64 x 3392104348071081/1152921504606846976) -16 (*.f64 116 x)))
(if (<=.f64 x -8445077287746107/33554432) (*.f64 x 116) (if (<=.f64 x 3392104348071081/1152921504606846976) -16 (*.f64 x 116)))
-16

end25.0ms (1.8%)

Stop Event
1×fuel
Compiler

Compiled 46 to 36 computations (21.7% saved)

Profiling

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