Details

Time bar (total: 2.0s)

analyze217.0ms (11%)

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%68.7%6.3%6
25%53.1%22%7
25%46.8%28.2%8
25%33.6%41.5%9
28.1%18%54%10
31.6%12.1%56.3%11
33.4%5.9%60.8%12
35.2%3.8%61%13
36.1%2.9%61%14
Compiler

Compiled 32 to 20 computations (37.5% saved)

sample27.0ms (1.4%)

Algorithm
intervals
Results
18.0ms256×body128valid
Compiler

Compiled 65 to 41 computations (36.9% saved)

simplify62.0ms (3.2%)

Algorithm
egg-herbie
Rules
620×fma-def_binary64
556×cancel-sign-sub-inv_binary64
552×unswap-sqr_binary64
357×unsub-neg_binary64
344×+-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01939
15737
216837
349237
4160433
5289133
6430933
7521433

prune5.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.2b
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a))))) 1)
0.0b
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1))
Compiler

Compiled 166 to 104 computations (37.3% saved)

localize13.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 a b)
0.0b
(pow.f64 (hypot.f64 a b) 4)
0.1b
(fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3)))
1.0b
(*.f64 (*.f64 b b) (+.f64 a 3))

series67.0ms (3.4%)

Counts
4 → 96
Calls

4 calls:

35.0ms
(pow.f64 (hypot.f64 a b) 4)
12.0ms
(fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3)))
12.0ms
(hypot.f64 a b)
8.0ms
(*.f64 (*.f64 b b) (+.f64 a 3))

rewrite10.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
10×add-exp-log_binary64
10×pow1_binary64
*-un-lft-identity_binary64
add-cbrt-cube_binary64
add-sqr-sqrt_binary64
Counts
4 → 66
Calls

4 calls:

6.0ms
(*.f64 (*.f64 b b) (+.f64 a 3))
1.0ms
(pow.f64 (hypot.f64 a b) 4)
0.0ms
(fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3)))
0.0ms
(hypot.f64 a b)

simplify88.0ms (4.5%)

Algorithm
egg-herbie
Rules
510×times-frac_binary64
492×fma-def_binary64
347×distribute-rgt-in_binary64
332×distribute-lft-in_binary64
329×fma-neg_binary64
Counts
162 → 150
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01622428
14002268
213112221
348422221
449902221

prune144.0ms (7.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1491150
Fresh101
Picked011
Done000
Total1502152
Error
0b
Counts
152 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1))
9.3b
(+.f64 (fma.f64 2 (*.f64 a (*.f64 a (*.f64 b b))) (pow.f64 b 4)) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1))
Compiler

Compiled 4497 to 2582 computations (42.6% saved)

localize17.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3)))
0.3b
(*.f64 a (*.f64 a (*.f64 b b)))
0.9b
(*.f64 a (*.f64 b b))
1.0b
(*.f64 (*.f64 b b) (+.f64 a 3))

series21.0ms (1.1%)

Counts
2 → 48
Calls

2 calls:

12.0ms
(*.f64 a (*.f64 a (*.f64 b b)))
9.0ms
(*.f64 a (*.f64 b b))

rewrite13.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube_binary64
16×add-exp-log_binary64
16×pow1_binary64
cbrt-unprod_binary64
prod-exp_binary64
Counts
2 → 44
Calls

2 calls:

7.0ms
(*.f64 a (*.f64 a (*.f64 b b)))
4.0ms
(*.f64 a (*.f64 b b))

simplify74.0ms (3.8%)

Algorithm
egg-herbie
Rules
593×associate-*l*_binary64
566×fma-def_binary64
511×unswap-sqr_binary64
413×*-commutative_binary64
369×associate-*r*_binary64
Counts
92 → 51
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
057979
1125850
2375826
31084808
42147797
53407797
64998797

prune128.0ms (6.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1240124
Fresh000
Picked011
Done011
Total1242126
Error
0b
Counts
126 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1))
9.3b
(+.f64 (fma.f64 2 (*.f64 a (*.f64 a (*.f64 b b))) (pow.f64 b 4)) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1))
Compiler

Compiled 4391 to 2195 computations (50% saved)

regimes179.0ms (9.1%)

Accuracy

Total 0.0b remaining (7.6%)

Threshold costs 0.0b (7.6%)

Counts
30 → 1
Compiler

Compiled 3940 to 2694 computations (31.6% saved)

simplify3.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01733
12433
22733
32933
43033
52933

end1.0ms (0%)

Compiler

Compiled 25 to 17 computations (32% saved)

sample904.0ms (45.8%)

Algorithm
intervals
Results
614.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 116 to 76 computations (34.5% saved)

Profiling

Loading profile data...