Details

Time bar (total: 2.7s)

analyze3.0ms (0.1%)

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
Compiler

Compiled 8 to 6 computations (25% saved)

sample1.2s (44.2%)

Results
1.2s8256×body256valid
0.0ms4×body256invalid

preprocess72.0ms (2.7%)

Algorithm
2×egg-herbie
Rules
2×*-commutative_binary64
1×associate-*r*_binary64
1×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
1109
2119
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(sqrt.f64 (*.f64 (*.f64 2 x) x))
Outputs
(sqrt.f64 (*.f64 (*.f64 2 x) x))
(sqrt.f64 (*.f64 2 (*.f64 x x)))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
1×associate-*r*_binary64
1×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
1109
2119
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 2 x) x))
Outputs
(sqrt.f64 (*.f64 (*.f64 2 x) x))
(sqrt.f64 (*.f64 2 (*.f64 x x)))

eval0.0ms (0%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
31.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.0b
(sqrt.f64 (*.f64 (*.f64 2 x) x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓29.9b
(sqrt.f64 (*.f64 (*.f64 2 x) x))
Compiler

Compiled 17 to 11 computations (35.3% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite46.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
527×pow1_binary64
508×add-sqr-sqrt_binary64
488×add-log-exp_binary64
488×log1p-expm1-u_binary64
488×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069
11226
213746
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 2 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) (cbrt.f64 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) (cbrt.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) (sqrt.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (pow.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) x)))))))

simplify12.0ms (0.5%)

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
36 → 26
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))

eval6.0ms (0.2%)

Compiler

Compiled 208 to 159 computations (23.6% saved)

prune10.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New21526
Fresh000
Picked011
Done000
Total21627
Error
0.2b
Counts
27 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.8b
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)
▶33.7b
(*.f64 (sqrt.f64 2) (neg.f64 x))
✓31.0b
(sqrt.f64 (*.f64 (*.f64 2 x) x))
▶30.0b
(*.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x))
▶30.1b
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
▶29.4b
(*.f64 (sqrt.f64 2) x)
Compiler

Compiled 77 to 63 computations (18.2% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.5b
(*.f64 (sqrt.f64 2) x)
Compiler

Compiled 9 to 7 computations (22.2% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 (sqrt.f64 2) x)
0.0ms
x
@0
(*.f64 (sqrt.f64 2) x)
0.0ms
x
@inf
(*.f64 (sqrt.f64 2) x)

rewrite41.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
417×pow1_binary64
403×add-sqr-sqrt_binary64
395×*-un-lft-identity_binary64
386×add-log-exp_binary64
386×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
11006
210756
Stop Event
1×node limit
Counts
1 → 15
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) x)))))))

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
15 → 15
Calls
Call 1
Inputs
Outputs

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.5b
(*.f64 (sqrt.f64 2) (neg.f64 x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (sqrt.f64 2) (neg.f64 x))
0.0ms
x
@inf
(*.f64 (sqrt.f64 2) (neg.f64 x))
0.0ms
x
@-inf
(*.f64 (sqrt.f64 2) (neg.f64 x))

rewrite38.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
450×pow1_binary64
437×add-sqr-sqrt_binary64
428×*-un-lft-identity_binary64
418×add-log-exp_binary64
417×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068
11256
214736
Stop Event
1×node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2) (neg.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) x)))))))

simplify12.0ms (0.4%)

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
0796
11296
22596
32996
43396
55196
67396
78496
89696
912196
Stop Event
1×saturated
Counts
25 → 15
Calls
Call 1
Inputs
(*.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))
(*.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))
(*.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 -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))
(*.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))
(*.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))

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

series4.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x))
1.0ms
x
@-inf
(*.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x))
0.0ms
x
@inf
(*.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x))

rewrite43.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
597×pow1_binary64
552×add-log-exp_binary64
552×log1p-expm1-u_binary64
552×expm1-log1p-u_binary64
537×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11426
215936
Stop Event
1×node limit
Counts
1 → 12
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) x)))))))

simplify19.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
248×fma-def_binary64
22×distribute-rgt-in_binary64
21×associate-*l*_binary64
21×sub-neg_binary64
19×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012100
121100
253100
3104100
4119100
5167100
6239100
7276100
8322100
9499100
10527100
Stop Event
1×saturated
Counts
24 → 15
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 -1) (*.f64 (sqrt.f64 -2) x)))
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) x)))
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) x)))
(*.f64 -1 (*.f64 (sqrt.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 -1) (*.f64 (sqrt.f64 -2) x)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) x))
(*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) x)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) x))
(*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) x)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) x))
(*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) x)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) x))
(*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (neg.f64 x))

localize12.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.5b
(*.f64 (sqrt.f64 2) x)
✓0.5b
(cbrt.f64 (*.f64 (sqrt.f64 2) x))
✓0.7b
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)
Compiler

Compiled 22 to 18 computations (18.2% saved)

series6.0ms (0.2%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)
1.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)
1.0ms
x
@-inf
(cbrt.f64 (*.f64 (sqrt.f64 2) x))
0.0ms
x
@0
(cbrt.f64 (*.f64 (sqrt.f64 2) x))

rewrite50.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
575×pow1_binary64
543×add-log-exp_binary64
542×log1p-expm1-u_binary64
542×expm1-log1p-u_binary64
530×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
116814
2157814
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)
(cbrt.f64 (*.f64 (sqrt.f64 2) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) (cbrt.f64 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) (cbrt.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))) (cbrt.f64 (*.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) (sqrt.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/6) (*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/6) (cbrt.f64 (*.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))) 3) (cbrt.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 1) (cbrt.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) (cbrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) (pow.f64 (*.f64 (sqrt.f64 2) x) 1/6)) (pow.f64 (*.f64 (sqrt.f64 2) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 (sqrt.f64 2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))) (cbrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))) (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/6) (pow.f64 (*.f64 (sqrt.f64 2) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))))))

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
52 → 52
Calls
Call 1
Inputs
Outputs

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f64 (*.f64 (sqrt.f64 2) x))
✓0.3b
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
0.5b
(*.f64 (sqrt.f64 2) x)
Compiler

Compiled 21 to 17 computations (19% saved)

series5.0ms (0.2%)

Counts
2 → 0
Calls

6 calls:

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

rewrite46.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
490×pow1_binary64
471×add-sqr-sqrt_binary64
462×*-un-lft-identity_binary64
454×add-log-exp_binary64
454×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
114414
2132214
Stop Event
1×node limit
Counts
2 → 50
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
(sqrt.f64 (*.f64 (sqrt.f64 2) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) (sqrt.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) (cbrt.f64 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x))) (sqrt.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) (cbrt.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (sqrt.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4)) (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) (cbrt.f64 (*.f64 (sqrt.f64 2) x))) (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) (pow.f64 2 1/4)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 (sqrt.f64 2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x))) (cbrt.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 1/2) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x))))))))

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
50 → 50
Calls
Call 1
Inputs
Outputs

eval46.0ms (1.7%)

Compiler

Compiled 1702 to 1385 computations (18.6% saved)

prune28.0ms (1.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1743177
Fresh000
Picked101
Done145
Total1767183
Error
0.1b
Counts
183 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓30.0b
(*.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x))
▶30.1b
(pow.f64 (*.f64 (pow.f64 2 1/4) (sqrt.f64 x)) 2)
✓33.7b
(*.f64 (sqrt.f64 2) (neg.f64 x))
✓31.0b
(sqrt.f64 (*.f64 (*.f64 2 x) x))
▶29.3b
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) x))
▶30.2b
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (sqrt.f64 (*.f64 (sqrt.f64 2) x))))
✓29.4b
(*.f64 (sqrt.f64 2) x)
Compiler

Compiled 65 to 54 computations (16.9% saved)

localize13.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (pow.f64 2 1/4) x)
✓0.3b
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) x))
Compiler

Compiled 21 to 18 computations (14.3% saved)

series41.0ms (1.5%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
39.0ms
x
@0
(*.f64 (pow.f64 2 1/4) x)
1.0ms
x
@inf
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) x))
0.0ms
x
@-inf
(*.f64 (pow.f64 2 1/4) x)
0.0ms
x
@inf
(*.f64 (pow.f64 2 1/4) x)
0.0ms
x
@0
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) x))

rewrite51.0ms (1.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0720
114813
2161113
Stop Event
1×node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) x))
(*.f64 (pow.f64 2 1/4) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 2 1/4) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 2 1/4) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 2 1/4) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 2 1/4) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 2 1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 2 1/4) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 2 1/4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 2 1/4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 2 1/4) x)))))))

simplify7.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0572
1672
Stop Event
1×saturated
Counts
34 → 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 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.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 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)

localize28.0ms (1.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (*.f64 (sqrt.f64 2) x))
✓0.2b
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (sqrt.f64 (*.f64 (sqrt.f64 2) x))))
✓0.2b
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (sqrt.f64 (*.f64 (sqrt.f64 2) x)))
0.5b
(*.f64 (sqrt.f64 2) x)
Compiler

Compiled 52 to 43 computations (17.3% saved)

series50.0ms (1.9%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
25.0ms
x
@-inf
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (sqrt.f64 (*.f64 (sqrt.f64 2) x)))
15.0ms
x
@0
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (sqrt.f64 (*.f64 (sqrt.f64 2) x)))
7.0ms
x
@inf
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (sqrt.f64 (*.f64 (sqrt.f64 2) x)))
1.0ms
x
@-inf
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (sqrt.f64 (*.f64 (sqrt.f64 2) x))))
1.0ms
x
@0
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (sqrt.f64 (*.f64 (sqrt.f64 2) x))))

rewrite53.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
746×pow1_binary64
695×add-log-exp_binary64
695×log1p-expm1-u_binary64
695×expm1-log1p-u_binary64
677×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01049
121015
2236115
Stop Event
1×node limit
Counts
2 → 27
Calls
Call 1
Inputs
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (sqrt.f64 (*.f64 (sqrt.f64 2) x)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (sqrt.f64 (*.f64 (sqrt.f64 2) x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) x)))))))

simplify60.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
780×fma-def_binary64
678×log-prod_binary64
399×associate-+l+_binary64
369×associate-+r+_binary64
369×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037348
1100324
2297284
3721260
42267232
57610232
Stop Event
1×node limit
Counts
51 → 35
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))))))
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (log.f64 (/.f64 -1 x)))))) (sqrt.f64 -1))
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (log.f64 (/.f64 -1 x)))))) (sqrt.f64 -1))
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (log.f64 (/.f64 -1 x)))))) (sqrt.f64 -1))
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (log.f64 (/.f64 -1 x)))))) (sqrt.f64 -1))
(*.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) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sqrt.f64 -1) 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 x) (log.f64 (sqrt.f64 2)))))
(*.f64 (pow.f64 x 3/4) (pow.f64 (*.f64 2 (sqrt.f64 2)) 1/4))
(*.f64 (pow.f64 x 3/4) (pow.f64 (sqrt.f64 2) 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 x) (log.f64 (sqrt.f64 2)))))
(*.f64 (pow.f64 x 3/4) (pow.f64 (*.f64 2 (sqrt.f64 2)) 1/4))
(*.f64 (pow.f64 x 3/4) (pow.f64 (sqrt.f64 2) 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 x) (log.f64 (sqrt.f64 2)))))
(*.f64 (pow.f64 x 3/4) (pow.f64 (*.f64 2 (sqrt.f64 2)) 1/4))
(*.f64 (pow.f64 x 3/4) (pow.f64 (sqrt.f64 2) 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 x) (log.f64 (sqrt.f64 2)))))
(*.f64 (pow.f64 x 3/4) (pow.f64 (*.f64 2 (sqrt.f64 2)) 1/4))
(*.f64 (pow.f64 x 3/4) (pow.f64 (sqrt.f64 2) 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 x) (log.f64 (sqrt.f64 2)))))
(*.f64 (pow.f64 x 3/4) (pow.f64 (*.f64 2 (sqrt.f64 2)) 1/4))
(*.f64 (pow.f64 x 3/4) (pow.f64 (sqrt.f64 2) 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 x) (log.f64 (sqrt.f64 2)))))
(*.f64 (pow.f64 x 3/4) (pow.f64 (*.f64 2 (sqrt.f64 2)) 1/4))
(*.f64 (pow.f64 x 3/4) (pow.f64 (sqrt.f64 2) 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 x) (log.f64 (sqrt.f64 2)))))
(*.f64 (pow.f64 x 3/4) (pow.f64 (*.f64 2 (sqrt.f64 2)) 1/4))
(*.f64 (pow.f64 x 3/4) (pow.f64 (sqrt.f64 2) 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 x) (log.f64 (sqrt.f64 2)))))
(*.f64 (pow.f64 x 3/4) (pow.f64 (*.f64 2 (sqrt.f64 2)) 1/4))
(*.f64 (pow.f64 x 3/4) (pow.f64 (sqrt.f64 2) 3/4))
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (log.f64 (/.f64 -1 x)))))) (sqrt.f64 -1))
(*.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (log.f64 (/.f64 -1 x))))) (sqrt.f64 -1))
(*.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -3 (log.f64 (/.f64 -1 x)) (log.f64 (*.f64 (sqrt.f64 2) -2)))) (sqrt.f64 -1))
(*.f64 (*.f64 (sqrt.f64 -1) (pow.f64 (*.f64 (sqrt.f64 2) -2) 1/4)) (pow.f64 (/.f64 -1 x) -3/4))
(*.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 2) -2) 1/4) (pow.f64 (/.f64 -1 x) -3/4)) (sqrt.f64 -1))
(*.f64 (pow.f64 (neg.f64 (*.f64 -1 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))) 1/4) (sqrt.f64 -1))
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (log.f64 (/.f64 -1 x)))))) (sqrt.f64 -1))
(*.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (log.f64 (/.f64 -1 x))))) (sqrt.f64 -1))
(*.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -3 (log.f64 (/.f64 -1 x)) (log.f64 (*.f64 (sqrt.f64 2) -2)))) (sqrt.f64 -1))
(*.f64 (*.f64 (sqrt.f64 -1) (pow.f64 (*.f64 (sqrt.f64 2) -2) 1/4)) (pow.f64 (/.f64 -1 x) -3/4))
(*.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 2) -2) 1/4) (pow.f64 (/.f64 -1 x) -3/4)) (sqrt.f64 -1))
(*.f64 (pow.f64 (neg.f64 (*.f64 -1 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))) 1/4) (sqrt.f64 -1))
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (log.f64 (/.f64 -1 x)))))) (sqrt.f64 -1))
(*.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (log.f64 (/.f64 -1 x))))) (sqrt.f64 -1))
(*.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -3 (log.f64 (/.f64 -1 x)) (log.f64 (*.f64 (sqrt.f64 2) -2)))) (sqrt.f64 -1))
(*.f64 (*.f64 (sqrt.f64 -1) (pow.f64 (*.f64 (sqrt.f64 2) -2) 1/4)) (pow.f64 (/.f64 -1 x) -3/4))
(*.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 2) -2) 1/4) (pow.f64 (/.f64 -1 x) -3/4)) (sqrt.f64 -1))
(*.f64 (pow.f64 (neg.f64 (*.f64 -1 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))) 1/4) (sqrt.f64 -1))
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (log.f64 (/.f64 -1 x)))))) (sqrt.f64 -1))
(*.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (log.f64 (/.f64 -1 x))))) (sqrt.f64 -1))
(*.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -3 (log.f64 (/.f64 -1 x)) (log.f64 (*.f64 (sqrt.f64 2) -2)))) (sqrt.f64 -1))
(*.f64 (*.f64 (sqrt.f64 -1) (pow.f64 (*.f64 (sqrt.f64 2) -2) 1/4)) (pow.f64 (/.f64 -1 x) -3/4))
(*.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 2) -2) 1/4) (pow.f64 (/.f64 -1 x) -3/4)) (sqrt.f64 -1))
(*.f64 (pow.f64 (neg.f64 (*.f64 -1 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))) 1/4) (sqrt.f64 -1))
(*.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) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(*.f64 x (sqrt.f64 2))
(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(*.f64 x (sqrt.f64 2))
(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(*.f64 x (sqrt.f64 2))
(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(*.f64 x (sqrt.f64 2))

localize12.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (pow.f64 2 1/4) (sqrt.f64 x))
✓0.3b
(pow.f64 (*.f64 (pow.f64 2 1/4) (sqrt.f64 x)) 2)
Compiler

Compiled 23 to 17 computations (26.1% saved)

series5.0ms (0.2%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(pow.f64 (*.f64 (pow.f64 2 1/4) (sqrt.f64 x)) 2)
1.0ms
x
@0
(pow.f64 (*.f64 (pow.f64 2 1/4) (sqrt.f64 x)) 2)
1.0ms
x
@inf
(pow.f64 (*.f64 (pow.f64 2 1/4) (sqrt.f64 x)) 2)
1.0ms
x
@-inf
(*.f64 (pow.f64 2 1/4) (sqrt.f64 x))
1.0ms
x
@0
(*.f64 (pow.f64 2 1/4) (sqrt.f64 x))

rewrite57.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
645×pow1_binary64
599×add-log-exp_binary64
599×log1p-expm1-u_binary64
599×expm1-log1p-u_binary64
581×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0821
117214
2182414
Stop Event
1×node limit
Counts
2 → 35
Calls
Call 1
Inputs
(pow.f64 (*.f64 (pow.f64 2 1/4) (sqrt.f64 x)) 2)
(*.f64 (pow.f64 2 1/4) (sqrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (pow.f64 2 1/4) (sqrt.f64 (*.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) (sqrt.f64 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) (cbrt.f64 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))) (sqrt.f64 (*.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 1/4) (pow.f64 2 1/8)) (*.f64 (*.f64 (pow.f64 x 1/4) (pow.f64 2 1/8)) (sqrt.f64 (*.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) (*.f64 (pow.f64 x 1/4) (pow.f64 2 1/8))) (*.f64 (pow.f64 x 1/4) (pow.f64 2 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) (pow.f64 2 1/4)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) (sqrt.f64 x)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 x (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 x (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 1/4) (pow.f64 2 1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))))))

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
35 → 35
Calls
Call 1
Inputs
Outputs

eval59.0ms (2.2%)

Compiler

Compiled 2498 to 2125 computations (14.9% saved)

prune23.0ms (0.9%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1591160
Fresh000
Picked011
Done156
Total1607167
Error
0.1b
Counts
167 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓30.0b
(*.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x))
✓30.1b
(pow.f64 (*.f64 (pow.f64 2 1/4) (sqrt.f64 x)) 2)
✓33.7b
(*.f64 (sqrt.f64 2) (neg.f64 x))
✓31.0b
(sqrt.f64 (*.f64 (*.f64 2 x) x))
✓29.3b
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) x))
✓29.4b
(*.f64 (sqrt.f64 2) x)
▶30.1b
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4))
Compiler

Compiled 59 to 49 computations (16.9% saved)

localize22.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (*.f64 (sqrt.f64 2) x) 1/4)
✓0.1b
(pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)
✓0.2b
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4))
0.5b
(*.f64 (sqrt.f64 2) x)
Compiler

Compiled 36 to 30 computations (16.7% saved)

series58.0ms (2.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
19.0ms
x
@-inf
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4))
17.0ms
x
@-inf
(pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)
12.0ms
x
@0
(pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)
7.0ms
x
@inf
(pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)
1.0ms
x
@0
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4))

rewrite56.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
845×pow1_binary64
793×add-log-exp_binary64
793×log1p-expm1-u_binary64
793×expm1-log1p-u_binary64
773×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01024
122124
2224024
Stop Event
1×node limit
Counts
3 → 53
Calls
Call 1
Inputs
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4))
(pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)
(pow.f64 (*.f64 (sqrt.f64 2) x) 1/4)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) 3) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4) 3) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/2)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 3/8) (pow.f64 x 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/4) (pow.f64 2 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/8) (pow.f64 (*.f64 (sqrt.f64 2) x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/4) (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) 3/4) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4) 3/4) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 3/4) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 3/4) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3/4 (log.f64 (*.f64 (sqrt.f64 2) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4)) (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/8) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (pow.f64 2 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/8) (pow.f64 (*.f64 (sqrt.f64 2) x) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) 1/4) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4) 1/4) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 1/4) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 1/4) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (*.f64 (sqrt.f64 2) x))))))))

simplify58.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
828×unswap-sqr_binary64
626×fma-def_binary64
307×distribute-rgt-in_binary64
291×fma-neg_binary64
289×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034432
199432
2272360
3589288
41327288
53659288
Stop Event
1×node limit
Counts
89 → 62
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 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.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 (log.f64 (*.f64 -1 (sqrt.f64 2))) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 2))) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 2))) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 2))) (*.f64 -1 (log.f64 (/.f64 -1 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 (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 (log.f64 (*.f64 -1 (sqrt.f64 2))) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 2))) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 2))) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 2))) (*.f64 -1 (log.f64 (/.f64 -1 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 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) 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 (log.f64 (*.f64 -1 (sqrt.f64 2))) (*.f64 -1 (log.f64 (/.f64 -1 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 (*.f64 -1 (sqrt.f64 2))) (*.f64 -1 (log.f64 (/.f64 -1 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 (*.f64 -1 (sqrt.f64 2))) (*.f64 -1 (log.f64 (/.f64 -1 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 (*.f64 -1 (sqrt.f64 2))) (*.f64 -1 (log.f64 (/.f64 -1 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 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 (sqrt.f64 2) 1/4) (pow.f64 x 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 (sqrt.f64 2) 1/4) (pow.f64 x 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 (sqrt.f64 2) 1/4) (pow.f64 x 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 (sqrt.f64 2) 1/4) (pow.f64 x 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 (sqrt.f64 2) 1/4) (pow.f64 x 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 (sqrt.f64 2) 1/4) (pow.f64 x 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 (sqrt.f64 2) 1/4) (pow.f64 x 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 (sqrt.f64 2) 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 (sqrt.f64 2) x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 2))) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 2) 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 (sqrt.f64 2) x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 2))) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 2) 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 (sqrt.f64 2) x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 2))) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 2) 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 (sqrt.f64 2) x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 2))) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 2) 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 (sqrt.f64 2) x) 1/4)

eval35.0ms (1.3%)

Compiler

Compiled 1455 to 1253 computations (13.9% saved)

prune16.0ms (0.6%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New92092
Fresh000
Picked011
Done066
Total92799
Error
0.1b
Counts
99 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓30.0b
(*.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x))
✓30.1b
(pow.f64 (*.f64 (pow.f64 2 1/4) (sqrt.f64 x)) 2)
✓33.7b
(*.f64 (sqrt.f64 2) (neg.f64 x))
✓31.0b
(sqrt.f64 (*.f64 (*.f64 2 x) x))
✓29.3b
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) x))
✓29.4b
(*.f64 (sqrt.f64 2) x)
✓30.1b
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4))
Compiler

Compiled 59 to 49 computations (16.9% saved)

regimes58.0ms (2.2%)

Counts
10 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(sqrt.f64 (*.f64 (*.f64 2 x) x))
(*.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) x))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
(pow.f64 (*.f64 (pow.f64 2 1/4) (sqrt.f64 x)) 2)
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4) (sqrt.f64 (*.f64 (sqrt.f64 2) x))))
Outputs
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x))
Calls

3 calls:

31.0ms
(sqrt.f64 (*.f64 (*.f64 2 x) x))
13.0ms
(*.f64 (*.f64 2 x) x)
11.0ms
x
Results
ErrorSegmentsBranch
0.4b2x
14.5b3(sqrt.f64 (*.f64 (*.f64 2 x) x))
14.5b3(*.f64 (*.f64 2 x) x)
Compiler

Compiled 101 to 80 computations (20.8% saved)

bsearch56.0ms (2.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
56.0ms
-3.22915484745196e-308
2.74594767281589e-306
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes23.0ms (0.9%)

Accuracy

Total -62.1b remaining (-13257.3%)

Threshold costs -62.1b (-13257.3%)

Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(sqrt.f64 (*.f64 (*.f64 2 x) x))
Outputs
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 (sqrt.f64 2) x)
Calls

3 calls:

8.0ms
(sqrt.f64 (*.f64 (*.f64 2 x) x))
7.0ms
(*.f64 (*.f64 2 x) x)
7.0ms
x
Results
ErrorSegmentsBranch
0.5b2x
14.5b3(sqrt.f64 (*.f64 (*.f64 2 x) x))
14.5b3(*.f64 (*.f64 2 x) x)
Compiler

Compiled 31 to 22 computations (29% saved)

bsearch18.0ms (0.7%)

Algorithm
1×binary-search
Steps
TimeLeftRight
17.0ms
-3.22915484745196e-308
2.74594767281589e-306
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify5.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
7×*-commutative_binary64
3×+-commutative_binary64
3×sub-neg_binary64
3×neg-sub0_binary64
3×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01651
12551
23251
33751
44051
54151
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -816985271753127/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x)))
(if (<=.f64 x -816985271753127/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
Outputs
(if (<=.f64 x -816985271753127/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x)))
(if (<=.f64 x -816985271753127/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (neg.f64 (*.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 x)))
(if (<=.f64 x -816985271753127/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (*.f64 x (neg.f64 (sqrt.f64 2))) (*.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 x)))
(if (<=.f64 x -816985271753127/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) x))
(if (<=.f64 x -816985271753127/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (neg.f64 (*.f64 x (sqrt.f64 2))) (*.f64 x (sqrt.f64 2)))
(if (<=.f64 x -816985271753127/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (*.f64 x (neg.f64 (sqrt.f64 2))) (*.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
Compiler

Compiled 36 to 28 computations (22.2% saved)

soundness12.0ms (0.4%)

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
Compiler

Compiled 19 to 16 computations (15.8% saved)

end45.0ms (1.7%)

Compiler

Compiled 34 to 26 computations (23.5% saved)

Profiling

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