Details

Time bar (total: 1.5s)

analyze4.0ms (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
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14
Compiler

Compiled 10 to 5 computations (50% saved)

sample709.0ms (46.1%)

Results
698.0ms8256×body128valid

preprocess28.0ms (1.8%)

Algorithm
2×egg-herbie
Rules
2×*-commutative_binary64
2×associate-*r*_binary64
2×count-2_binary64
1×associate-*l*_binary64
1×distribute-rgt-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054
1114
2144
3174
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
Outputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(hypot.f64 x x)
Compiler

Compiled 9 to 4 computations (55.6% saved)

simplify6.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
2×associate-*r*_binary64
2×count-2_binary64
1×associate-*l*_binary64
1×distribute-rgt-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054
1114
2144
3174
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
Outputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(hypot.f64 x x)

eval0.0ms (0%)

Compiler

Compiled 12 to 5 computations (58.3% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.1b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(hypot.f64 x x)
Compiler

Compiled 8 to 4 computations (50% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(hypot.f64 x x)

series3.0ms (0.2%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(hypot.f64 x x)
1.0ms
x
@inf
(hypot.f64 x x)
1.0ms
x
@0
(hypot.f64 x x)

rewrite26.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
271×pow1_binary64
260×add-sqr-sqrt_binary64
255×*-un-lft-identity_binary64
249×add-log-exp_binary64
249×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034
1604
26954
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(hypot.f64 x x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) (cbrt.f64 (exp.f64 (hypot.f64 x x))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (hypot.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x x)))))))

simplify11.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
38×fma-def_binary64
9×sub-neg_binary64
6×+-commutative_binary64
4×*-commutative_binary64
4×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0780
11280
22580
32980
43380
55180
67380
78480
89680
912180
Stop Event
1×saturated
Counts
32 → 23
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
Outputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))

eval4.0ms (0.2%)

Compiler

Compiled 164 to 69 computations (57.9% saved)

prune41.0ms (2.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New17623
Fresh000
Picked011
Done000
Total17724
Error
0.0b
Counts
24 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.5b
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
29.8b
(*.f64 (sqrt.f64 2) x)
✓0.1b
(hypot.f64 x x)
42.9b
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
33.3b
(*.f64 (sqrt.f64 2) (neg.f64 x))
1.4b
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
1.4b
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))
Compiler

Compiled 92 to 62 computations (32.6% saved)

localize4.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(hypot.f64 x x)
✓0.1b
(sqrt.f64 (hypot.f64 x x))
✓0.5b
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)

series5.0ms (0.3%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
1.0ms
x
@0
(sqrt.f64 (hypot.f64 x x))
0.0ms
x
@inf
(sqrt.f64 (hypot.f64 x x))

rewrite30.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
416×pow1_binary64
386×add-log-exp_binary64
386×log1p-expm1-u_binary64
386×expm1-log1p-u_binary64
376×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
112510
2112610
Stop Event
1×node limit
Counts
2 → 38
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(sqrt.f64 (hypot.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (hypot.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x x)) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (hypot.f64 x x)) (pow.f64 (hypot.f64 x x) 1/4)) (pow.f64 (hypot.f64 x x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (hypot.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/2) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (hypot.f64 x x))))))))

simplify6.0ms (0.4%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
38 → 38
Calls
Call 1
Inputs
Outputs

eval14.0ms (0.9%)

Compiler

Compiled 581 to 276 computations (52.5% saved)

prune43.0ms (2.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New57461
Fresh145
Picked011
Done011
Total581068
Error
0.0b
Counts
68 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.1b
(hypot.f64 x x)
1.0b
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 2) 2)
▶0.6b
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x))))
42.9b
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
0.9b
(*.f64 (cbrt.f64 (hypot.f64 x x)) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))
✓0.5b
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
29.8b
(*.f64 (sqrt.f64 2) x)
33.3b
(*.f64 (sqrt.f64 2) (neg.f64 x))
1.4b
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
1.0b
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
Compiler

Compiled 179 to 107 computations (40.2% saved)

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(hypot.f64 x x)
0.1b
(sqrt.f64 (hypot.f64 x x))
✓0.3b
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x))))
✓0.3b
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x)))

series44.0ms (2.9%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
27.0ms
x
@0
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x)))
9.0ms
x
@-inf
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x)))
7.0ms
x
@inf
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x)))
0.0ms
x
@0
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x))))
0.0ms
x
@inf
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x))))

rewrite32.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
570×pow1_binary64
532×add-log-exp_binary64
532×log1p-expm1-u_binary64
532×expm1-log1p-u_binary64
79×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0839
116811
2188311
Stop Event
1×node limit
Counts
2 → 28
Calls
Call 1
Inputs
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x x) 3/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x x) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x x) 3/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 x x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 x x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 x x) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (hypot.f64 x x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x x) 3/4)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (hypot.f64 x x) 3/4) (pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x x)))))))

simplify34.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
489×fma-def_binary64
416×exp-sum_binary64
278×unswap-sqr_binary64
206×log-prod_binary64
198×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030320
180308
2198272
3439236
41096212
53990212
Stop Event
1×node limit
Counts
52 → 37
Calls
Call 1
Inputs
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 3 (log.f64 x)) (log.f64 (pow.f64 (sqrt.f64 2) 3)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 3 (log.f64 x)) (log.f64 (pow.f64 (sqrt.f64 2) 3)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 3 (log.f64 x)) (log.f64 (pow.f64 (sqrt.f64 2) 3)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 3 (log.f64 x)) (log.f64 (pow.f64 (sqrt.f64 2) 3)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 -3 (log.f64 (/.f64 1 x))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 -3 (log.f64 (/.f64 1 x))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 -3 (log.f64 (/.f64 1 x))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 -3 (log.f64 (/.f64 1 x))))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -3 (log.f64 (/.f64 -1 x))) (log.f64 (pow.f64 (sqrt.f64 2) 3)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -3 (log.f64 (/.f64 -1 x))) (log.f64 (pow.f64 (sqrt.f64 2) 3)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -3 (log.f64 (/.f64 -1 x))) (log.f64 (pow.f64 (sqrt.f64 2) 3)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -3 (log.f64 (/.f64 -1 x))) (log.f64 (pow.f64 (sqrt.f64 2) 3)))))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
Outputs
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 3 (log.f64 x)) (log.f64 (pow.f64 (sqrt.f64 2) 3)))))
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) 2) 1/4) (pow.f64 x 3/4))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 x 3/4))
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 3 (log.f64 x)) (log.f64 (pow.f64 (sqrt.f64 2) 3)))))
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) 2) 1/4) (pow.f64 x 3/4))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 x 3/4))
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 3 (log.f64 x)) (log.f64 (pow.f64 (sqrt.f64 2) 3)))))
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) 2) 1/4) (pow.f64 x 3/4))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 x 3/4))
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 3 (log.f64 x)) (log.f64 (pow.f64 (sqrt.f64 2) 3)))))
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) 2) 1/4) (pow.f64 x 3/4))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 x 3/4))
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 -3 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) 2) 1/4) (pow.f64 x 3/4))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 x 3/4))
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 -3 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) 2) 1/4) (pow.f64 x 3/4))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 x 3/4))
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 -3 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) 2) 1/4) (pow.f64 x 3/4))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 x 3/4))
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 -3 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) 2) 1/4) (pow.f64 x 3/4))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 x 3/4))
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -3 (log.f64 (/.f64 -1 x))) (log.f64 (pow.f64 (sqrt.f64 2) 3)))))
(pow.f64 (exp.f64 1/4) (fma.f64 -3 (log.f64 (/.f64 -1 x)) (*.f64 3 (log.f64 (sqrt.f64 2)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 -1 x)) -3/4) (*.f64 3/4 (log.f64 (sqrt.f64 2)))))
(*.f64 (pow.f64 (/.f64 -1 x) -3/4) (pow.f64 (*.f64 (sqrt.f64 2) 2) 1/4))
(*.f64 (pow.f64 (/.f64 -1 x) -3/4) (pow.f64 (sqrt.f64 2) 3/4))
(pow.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) -2)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -3 (log.f64 (/.f64 -1 x))) (log.f64 (pow.f64 (sqrt.f64 2) 3)))))
(pow.f64 (exp.f64 1/4) (fma.f64 -3 (log.f64 (/.f64 -1 x)) (*.f64 3 (log.f64 (sqrt.f64 2)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 -1 x)) -3/4) (*.f64 3/4 (log.f64 (sqrt.f64 2)))))
(*.f64 (pow.f64 (/.f64 -1 x) -3/4) (pow.f64 (*.f64 (sqrt.f64 2) 2) 1/4))
(*.f64 (pow.f64 (/.f64 -1 x) -3/4) (pow.f64 (sqrt.f64 2) 3/4))
(pow.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) -2)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -3 (log.f64 (/.f64 -1 x))) (log.f64 (pow.f64 (sqrt.f64 2) 3)))))
(pow.f64 (exp.f64 1/4) (fma.f64 -3 (log.f64 (/.f64 -1 x)) (*.f64 3 (log.f64 (sqrt.f64 2)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 -1 x)) -3/4) (*.f64 3/4 (log.f64 (sqrt.f64 2)))))
(*.f64 (pow.f64 (/.f64 -1 x) -3/4) (pow.f64 (*.f64 (sqrt.f64 2) 2) 1/4))
(*.f64 (pow.f64 (/.f64 -1 x) -3/4) (pow.f64 (sqrt.f64 2) 3/4))
(pow.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) -2)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -3 (log.f64 (/.f64 -1 x))) (log.f64 (pow.f64 (sqrt.f64 2) 3)))))
(pow.f64 (exp.f64 1/4) (fma.f64 -3 (log.f64 (/.f64 -1 x)) (*.f64 3 (log.f64 (sqrt.f64 2)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 -1 x)) -3/4) (*.f64 3/4 (log.f64 (sqrt.f64 2)))))
(*.f64 (pow.f64 (/.f64 -1 x) -3/4) (pow.f64 (*.f64 (sqrt.f64 2) 2) 1/4))
(*.f64 (pow.f64 (/.f64 -1 x) -3/4) (pow.f64 (sqrt.f64 2) 3/4))
(pow.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) -2)) 1/4)
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))

eval41.0ms (2.7%)

Compiler

Compiled 2176 to 997 computations (54.2% saved)

prune131.0ms (8.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1207127
Fresh617
Picked101
Done022
Total12710137
Error
0.0b
Counts
137 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
33.3b
(*.f64 (sqrt.f64 2) (neg.f64 x))
✓0.1b
(hypot.f64 x x)
✓0.5b
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
0.9b
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))))
0.9b
(*.f64 (cbrt.f64 (hypot.f64 x x)) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))
29.8b
(*.f64 (sqrt.f64 2) x)
0.9b
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 3))))
0.6b
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x x) 3/4)) 2))
2.5b
(*.f64 (pow.f64 (expm1.f64 (log1p.f64 (hypot.f64 x x))) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x))))
▶0.3b
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 3/4))
Compiler

Compiled 249 to 147 computations (41% saved)

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(pow.f64 (hypot.f64 x x) 1/4)
0.1b
(hypot.f64 x x)
✓0.2b
(pow.f64 (hypot.f64 x x) 3/4)
✓0.3b
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 3/4))

series36.0ms (2.3%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
17.0ms
x
@0
(pow.f64 (hypot.f64 x x) 3/4)
10.0ms
x
@-inf
(pow.f64 (hypot.f64 x x) 3/4)
6.0ms
x
@inf
(pow.f64 (hypot.f64 x x) 3/4)
1.0ms
x
@0
(pow.f64 (hypot.f64 x x) 1/4)
1.0ms
x
@inf
(pow.f64 (hypot.f64 x x) 1/4)

rewrite39.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
643×pow1_binary64
606×add-log-exp_binary64
606×log1p-expm1-u_binary64
606×expm1-log1p-u_binary64
73×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
117718
2174318
Stop Event
1×node limit
Counts
3 → 52
Calls
Call 1
Inputs
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 3/4))
(pow.f64 (hypot.f64 x x) 3/4)
(pow.f64 (hypot.f64 x x) 1/4)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 3) (pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 3) (pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x x) 3/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x x) 3/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 x x) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/4)) (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/2)) (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x x) 3/8) (pow.f64 (hypot.f64 x x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 3/4) (pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 3/4) (pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/4) (pow.f64 (hypot.f64 x x) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 3/4) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (hypot.f64 x x)) 3/4) (pow.f64 (sqrt.f64 (hypot.f64 x x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 x x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 x x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 x x) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3/4 (log.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x x) 3/4)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x x) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x x) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 x x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/4)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x x) 1/8) (pow.f64 (hypot.f64 x x) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 1/4) (pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 1/4) (pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (hypot.f64 x x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/4) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/4) (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 x x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x x) 1/4)))))))

simplify36.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
480×times-frac_binary64
464×unswap-sqr_binary64
327×fma-def_binary64
228×sqr-pow_binary64
195×div-sub_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033472
196464
2247392
3495320
41069312
52670312
Stop Event
1×node limit
Counts
88 → 65
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(exp.f64 (*.f64 3/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(exp.f64 (*.f64 3/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(exp.f64 (*.f64 3/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(exp.f64 (*.f64 3/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(exp.f64 (*.f64 3/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
(exp.f64 (*.f64 3/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
(exp.f64 (*.f64 3/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
(exp.f64 (*.f64 3/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
Outputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(pow.f64 (exp.f64 3/4) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 x 3/4))
(pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(pow.f64 (exp.f64 3/4) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 x 3/4))
(pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(pow.f64 (exp.f64 3/4) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 x 3/4))
(pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(pow.f64 (exp.f64 3/4) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 x 3/4))
(pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)
(exp.f64 (*.f64 3/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 3/4) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 x 3/4))
(pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)
(exp.f64 (*.f64 3/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 3/4) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 x 3/4))
(pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)
(exp.f64 (*.f64 3/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 3/4) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 x 3/4))
(pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)
(exp.f64 (*.f64 3/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 3/4) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 x 3/4))
(pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)
(exp.f64 (*.f64 3/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 3/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (sqrt.f64 2))))
(pow.f64 (exp.f64 3/4) (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 (/.f64 -1 x) -3/4))
(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 -1 x)) 3/4)
(pow.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3/4)
(exp.f64 (*.f64 3/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 3/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (sqrt.f64 2))))
(pow.f64 (exp.f64 3/4) (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 (/.f64 -1 x) -3/4))
(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 -1 x)) 3/4)
(pow.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3/4)
(exp.f64 (*.f64 3/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 3/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (sqrt.f64 2))))
(pow.f64 (exp.f64 3/4) (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 (/.f64 -1 x) -3/4))
(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 -1 x)) 3/4)
(pow.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3/4)
(exp.f64 (*.f64 3/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 3/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (sqrt.f64 2))))
(pow.f64 (exp.f64 3/4) (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 (/.f64 -1 x) -3/4))
(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 -1 x)) 3/4)
(pow.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 x 1/4) (pow.f64 (sqrt.f64 2) 1/4))
(pow.f64 (*.f64 (sqrt.f64 2) x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 x 1/4) (pow.f64 (sqrt.f64 2) 1/4))
(pow.f64 (*.f64 (sqrt.f64 2) x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 x 1/4) (pow.f64 (sqrt.f64 2) 1/4))
(pow.f64 (*.f64 (sqrt.f64 2) x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 x 1/4) (pow.f64 (sqrt.f64 2) 1/4))
(pow.f64 (*.f64 (sqrt.f64 2) x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 x 1/4) (pow.f64 (sqrt.f64 2) 1/4))
(pow.f64 (*.f64 (sqrt.f64 2) x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 x 1/4) (pow.f64 (sqrt.f64 2) 1/4))
(pow.f64 (*.f64 (sqrt.f64 2) x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 x 1/4) (pow.f64 (sqrt.f64 2) 1/4))
(pow.f64 (*.f64 (sqrt.f64 2) x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 x 1/4) (pow.f64 (sqrt.f64 2) 1/4))
(pow.f64 (*.f64 (sqrt.f64 2) x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (sqrt.f64 2))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (sqrt.f64 2) 1/4) (pow.f64 (/.f64 -1 x) -1/4))
(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 -1 x)) 1/4)
(pow.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (sqrt.f64 2))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (sqrt.f64 2) 1/4) (pow.f64 (/.f64 -1 x) -1/4))
(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 -1 x)) 1/4)
(pow.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (sqrt.f64 2))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (sqrt.f64 2) 1/4) (pow.f64 (/.f64 -1 x) -1/4))
(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 -1 x)) 1/4)
(pow.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (sqrt.f64 2))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (sqrt.f64 2) 1/4) (pow.f64 (/.f64 -1 x) -1/4))
(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 -1 x)) 1/4)
(pow.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 1/4)

eval31.0ms (2%)

Compiler

Compiled 1547 to 811 computations (47.6% saved)

prune103.0ms (6.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1074111
Fresh347
Picked011
Done022
Total11011121
Error
0b
Counts
121 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
0.6b
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/4) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 1/4)) (pow.f64 (hypot.f64 x x) 3/4))
33.3b
(*.f64 (sqrt.f64 2) (neg.f64 x))
✓0.1b
(hypot.f64 x x)
0.6b
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 3/4) (pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 3/4)))
✓0.5b
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
0.9b
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))))
0.9b
(*.f64 (cbrt.f64 (hypot.f64 x x)) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))
0.6b
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 3/8) (pow.f64 (hypot.f64 x x) 3/8)))
29.8b
(*.f64 (sqrt.f64 2) x)
0.9b
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 3))))
✓0.3b
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 3/4))
Compiler

Compiled 158 to 93 computations (41.1% saved)

regimes45.0ms (2.9%)

Accuracy

Total -62.6b remaining (-47141.5%)

Threshold costs -62.6b (-47141.5%)

Counts
23 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/4) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 1/4)) (pow.f64 (hypot.f64 x x) 3/4))
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 3/4) (pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 3/4)))
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 3/8) (pow.f64 (hypot.f64 x x) 3/8)))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))))
(*.f64 (sqrt.f64 2) x)
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 3))))
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x x) 3/4)) 2))
(*.f64 (pow.f64 (expm1.f64 (log1p.f64 (hypot.f64 x x))) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 3/4))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 2) 2)
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x))))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(*.f64 (sqrt.f64 2) x)
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
Outputs
(hypot.f64 x x)
Results
TimeErrorSegmentsBranch
12.0ms0.1b1x
8.0ms0.1b1(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
9.0ms0.1b1(+.f64 (*.f64 x x) (*.f64 x x))
8.0ms0.1b1(*.f64 x x)
Compiler

Compiled 287 to 131 computations (54.4% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034
Stop Event
1×saturated
Calls
Call 1
Inputs
(hypot.f64 x x)
Outputs
(hypot.f64 x x)

end12.0ms (0.8%)

Stop Event
1×fuel
Compiler

Compiled 8 to 4 computations (50% saved)

Profiling

Loading profile data...