Details

Time bar (total: 1.5s)

analyze98.0ms (6.4%)

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
37.5%62.4%0.1%5
43.7%56.2%0.1%6
43.7%34.3%22%7
46.8%29.7%23.5%8
58.5%17.2%24.3%9
60.5%14.8%24.7%10
66.5%8.6%24.9%11
67.6%7.4%25%12
70.7%4.3%25%13
71.2%3.7%25%14
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample12.0ms (0.8%)

Algorithm
intervals
Results
5.0ms256×body128valid
Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify12.0ms (0.8%)

Algorithm
egg-herbie
Rules
21×cancel-sign-sub-inv_binary64
18×sub-neg_binary64
11×neg-mul-1_binary64
10×distribute-rgt-in_binary64
associate--r+_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1107
2177
3257
4367
5517
6747
7937
81117
91137
101097
11907

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.0b
Counts
1 → 1
Alt Table
StatusErrorProgram
0.0b
(-.f64 x (*.f64 y y))
Compiler

Compiled 14 to 8 computations (42.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 x (*.f64 y y))

rewrite9.0ms (0.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-log-exp_binary64
add-sqr-sqrt_binary64
cancel-sign-sub-inv_binary64
difference-of-squares_binary64
flip--_binary64
Counts
1 → 13
Calls

1 calls:

5.0ms
(-.f64 x (*.f64 y y))
Compiler

Compiled 154 to 47 computations (69.5% saved)

series14.0ms (0.9%)

Error
0.0b
Counts
1 → 12
Calls

1 calls:

12.0ms
(-.f64 x (*.f64 y y))
Compiler

Compiled 127 to 93 computations (26.8% saved)

simplify63.0ms (4.1%)

Algorithm
egg-herbie
Rules
843×unsub-neg_binary64
485×unswap-sqr_binary64
436×associate-*l*_binary64
310×associate-*r*_binary64
271×neg-sub0_binary64
Counts
25 → 15
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037241
184217
2192214
3509214
41686214
54011214
65266214

prune7.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New14115
Fresh000
Picked011
Done000
Total14216
Error
0.0b
Counts
16 → 2
Alt Table
StatusErrorProgram
0.0b
(-.f64 x (*.f64 y y))
31.3b
(/.f64 (-.f64 (*.f64 x x) (pow.f64 y 4)) (+.f64 (*.f64 y y) x))
Compiler

Compiled 110 to 53 computations (51.8% saved)

localize8.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 y y) x)
3.2b
(-.f64 (*.f64 x x) (pow.f64 y 4))
29.5b
(/.f64 (-.f64 (*.f64 x x) (pow.f64 y 4)) (+.f64 (*.f64 y y) x))

rewrite70.0ms (4.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
26×add-sqr-sqrt_binary64
18×times-frac_binary64
16×*-un-lft-identity_binary64
16×add-cube-cbrt_binary64
15×difference-of-squares_binary64
Counts
3 → 76
Calls

3 calls:

8.0ms
(/.f64 (-.f64 (*.f64 x x) (pow.f64 y 4)) (+.f64 (*.f64 y y) x))
6.0ms
(-.f64 (*.f64 x x) (pow.f64 y 4))
3.0ms
(+.f64 (*.f64 y y) x)
Compiler

Compiled 1816 to 721 computations (60.3% saved)

series73.0ms (4.8%)

Error
0.0b
Counts
3 → 36
Calls

3 calls:

25.0ms
(-.f64 (*.f64 x x) (pow.f64 y 4))
24.0ms
(/.f64 (-.f64 (*.f64 x x) (pow.f64 y 4)) (+.f64 (*.f64 y y) x))
21.0ms
(+.f64 (*.f64 y y) x)
Compiler

Compiled 697 to 463 computations (33.6% saved)

simplify137.0ms (8.9%)

Algorithm
egg-herbie
Rules
543×associate-*l*_binary64
424×div-sub_binary64
423×associate-*r*_binary64
238×associate-/l*_binary64
169×distribute-rgt-in_binary64
Counts
112 → 72
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01482048
13701912
210361873
336991873
449101873
549451873

prune19.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New71172
Fresh000
Picked101
Done011
Total72274
Error
0b
Counts
74 → 2
Alt Table
StatusErrorProgram
0.0b
(-.f64 x (*.f64 y y))
21.1b
(*.f64 (/.f64 (+.f64 (*.f64 y y) x) (sqrt.f64 (+.f64 (*.f64 y y) x))) (/.f64 (-.f64 x (*.f64 y y)) (sqrt.f64 (+.f64 (*.f64 y y) x))))
Compiler

Compiled 666 to 253 computations (62% saved)

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 x (*.f64 y y))
0.2b
(*.f64 (/.f64 (+.f64 (*.f64 y y) x) (sqrt.f64 (+.f64 (*.f64 y y) x))) (/.f64 (-.f64 x (*.f64 y y)) (sqrt.f64 (+.f64 (*.f64 y y) x))))
0.2b
(/.f64 (+.f64 (*.f64 y y) x) (sqrt.f64 (+.f64 (*.f64 y y) x)))
0.2b
(/.f64 (-.f64 x (*.f64 y y)) (sqrt.f64 (+.f64 (*.f64 y y) x)))

rewrite137.0ms (8.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
108×add-sqr-sqrt_binary64
96×times-frac_binary64
64×*-un-lft-identity_binary64
64×add-cube-cbrt_binary64
54×sqrt-prod_binary64
Counts
4 → 192
Calls

4 calls:

29.0ms
(*.f64 (/.f64 (+.f64 (*.f64 y y) x) (sqrt.f64 (+.f64 (*.f64 y y) x))) (/.f64 (-.f64 x (*.f64 y y)) (sqrt.f64 (+.f64 (*.f64 y y) x))))
10.0ms
(/.f64 (+.f64 (*.f64 y y) x) (sqrt.f64 (+.f64 (*.f64 y y) x)))
6.0ms
(/.f64 (-.f64 x (*.f64 y y)) (sqrt.f64 (+.f64 (*.f64 y y) x)))
2.0ms
(-.f64 x (*.f64 y y))
Compiler

Compiled 6645 to 654 computations (90.2% saved)

series91.0ms (6%)

Error
0b
Counts
4 → 49
Calls

4 calls:

27.0ms
(/.f64 (-.f64 x (*.f64 y y)) (sqrt.f64 (+.f64 (*.f64 y y) x)))
26.0ms
(/.f64 (+.f64 (*.f64 y y) x) (sqrt.f64 (+.f64 (*.f64 y y) x)))
14.0ms
(-.f64 x (*.f64 y y))
14.0ms
(*.f64 (/.f64 (+.f64 (*.f64 y y) x) (sqrt.f64 (+.f64 (*.f64 y y) x))) (/.f64 (-.f64 x (*.f64 y y)) (sqrt.f64 (+.f64 (*.f64 y y) x))))
Compiler

Compiled 2052 to 1035 computations (49.6% saved)

simplify166.0ms (10.9%)

Algorithm
egg-herbie
Rules
633×associate-/r/_binary64
469×distribute-rgt-in_binary64
448×distribute-lft-in_binary64
195×associate-*r/_binary64
192×associate-*l/_binary64
Counts
241 → 214
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02566946
17135650
221355624
353475624

prune51.0ms (3.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2140214
Fresh000
Picked011
Done011
Total2142216
Error
0b
Counts
216 → 2
Alt Table
StatusErrorProgram
0.0b
(-.f64 x (*.f64 y y))
21.1b
(*.f64 (/.f64 (+.f64 (*.f64 y y) x) (sqrt.f64 (+.f64 (*.f64 y y) x))) (/.f64 (-.f64 x (*.f64 y y)) (sqrt.f64 (+.f64 (*.f64 y y) x))))
Compiler

Compiled 4758 to 641 computations (86.5% saved)

regimes140.0ms (9.1%)

Accuracy

Total 0.0b remaining (24.4%)

Threshold costs 0.0b (24.4%)

Compiler

Compiled 2588 to 1442 computations (44.3% saved)

simplify3.0ms (0.2%)

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
057
1107
2177
3217
4237
5237

end0.0ms (0%)

Compiler

Compiled 7 to 4 computations (42.9% saved)

sample407.0ms (26.6%)

Algorithm
intervals
Results
176.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 51 to 24 computations (52.9% saved)

Profiling

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