Details

Time bar (total: 2.0s)

analyze158.0ms (7.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%62.4%12.6%6
25%40.6%34.4%7
25%32.8%42.2%8
25%23.4%51.6%9
28.1%18%54%10
31.6%11.5%56.9%11
33.4%8.9%57.8%12
35.2%5.7%59.1%13
36.1%4.4%59.4%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample988.0ms (49.2%)

Results
907.0ms8256×body128valid
36.0ms326×body128invalid
Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify22.0ms (1.1%)

Algorithm
egg-herbie
Rules
432×unswap-sqr_binary64
377×fma-def_binary64
236×distribute-rgt-neg-in_binary64
235×distribute-rgt-in_binary64
219×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11510
23710
38210
423010
592110
6291710
Stop Event
node limit
Counts
1 → 1

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
Compiler

Compiled 27 to 21 computations (22.2% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (pow.f64 x 4) (pow.f64 y 4))

series15.0ms (0.7%)

Counts
1 → 6
Calls

1 calls:

15.0ms
(-.f64 (pow.f64 x 4) (pow.f64 y 4))

rewrite42.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
715×log1p-expm1-u_binary64
715×expm1-log1p-u_binary64
469×prod-diff_binary64
75×add-sqr-sqrt_binary64
75×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115910
2199710
Stop Event
node limit
Counts
1 → 71
Calls

1 calls:

40.0ms
(-.f64 (pow.f64 x 4) (pow.f64 y 4))

simplify26.0ms (1.3%)

Algorithm
egg-herbie
Rules
836×fma-def_binary64
684×unswap-sqr_binary64
586×associate-*l*_binary64
323×associate-*r*_binary64
215×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
11630
23430
36530
415230
548130
6176230
7357730
Stop Event
node limit
Counts
77 → 74

prune58.0ms (2.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New73174
Fresh000
Picked011
Done000
Total73275
Error
0b
Counts
75 → 2
Alt Table
StatusErrorProgram
0.0b
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
1.0b
(+.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 4) (pow.f64 (cbrt.f64 x) 4) (neg.f64 (pow.f64 y 4))) (fma.f64 -1 (pow.f64 y 4) (pow.f64 y 4)))
Compiler

Compiled 1565 to 1109 computations (29.1% saved)

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (cbrt.f64 x) 2)
0.5b
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 4)
0.6b
(cbrt.f64 x)
0.7b
(pow.f64 (cbrt.f64 x) 4)

series187.0ms (9.3%)

Counts
4 → 48
Calls

4 calls:

63.0ms
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 4)
57.0ms
(pow.f64 (cbrt.f64 x) 4)
37.0ms
(pow.f64 (cbrt.f64 x) 2)
29.0ms
(cbrt.f64 x)

rewrite57.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
523×log1p-expm1-u_binary64
523×expm1-log1p-u_binary64
456×unpow-prod-down_binary64
265×log-prod_binary64
197×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
116721
2168121
Stop Event
node limit
Counts
4 → 197
Calls

4 calls:

54.0ms
(pow.f64 (cbrt.f64 x) 2)
54.0ms
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 4)
54.0ms
(cbrt.f64 x)
54.0ms
(pow.f64 (cbrt.f64 x) 4)

simplify43.0ms (2.1%)

Algorithm
egg-herbie
Rules
586×associate-*l*_binary64
497×distribute-rgt-neg-in_binary64
484×associate-*r*_binary64
391×distribute-lft-neg-in_binary64
275×neg-sub0_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
024376
161376
2142376
3493372
42262372
53174372
Stop Event
node limit
Counts
245 → 211

prune287.0ms (14.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2540254
Fresh000
Picked011
Done011
Total2542256
Error
0b
Counts
256 → 2
Alt Table
StatusErrorProgram
0.0b
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
1.0b
(+.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 4) (pow.f64 (cbrt.f64 x) 4) (neg.f64 (pow.f64 y 4))) (fma.f64 -1 (pow.f64 y 4) (pow.f64 y 4)))
Compiler

Compiled 7740 to 5310 computations (31.4% saved)

regimes45.0ms (2.2%)

Accuracy

Total 0.0b remaining (3.9%)

Threshold costs 0.0b (3.9%)

Counts
6 → 1
Compiler

Compiled 450 to 353 computations (21.6% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
1910
21410
31610
41710
Stop Event
saturated

end60.0ms (3%)

Compiler

Compiled 53 to 41 computations (22.6% saved)

Profiling

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