Details

Time bar (total: 2.5s)

analyze234.0ms (9.3%)

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%56.2%18.8%7
25%48.4%26.6%8
25%35.1%39.9%9
28.1%18.3%53.6%10
31.6%12.3%56.1%11
33.4%5.9%60.8%12
35.2%3.8%61%13
36.1%2.9%61%14
Compiler

Compiled 34 to 22 computations (35.3% saved)

sample35.0ms (1.4%)

Algorithm
intervals
Results
21.0ms256×body128valid
Compiler

Compiled 69 to 45 computations (34.8% saved)

simplify67.0ms (2.7%)

Algorithm
egg-herbie
Rules
725×fma-def_binary64
669×unsub-neg_binary64
596×cancel-sign-sub-inv_binary64
340×+-commutative_binary64
277×fma-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02042
16340
217036
354236
4186732
5328132
6488132
7495832

prune5.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
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 1 (*.f64 3 a)))))) 1)
0.0b
(+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) -1)
Compiler

Compiled 172 to 108 computations (37.2% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (hypot.f64 a b) 4)
0.0b
(fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4))
0.1b
(fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1)))
0.4b
(*.f64 (*.f64 b b) (fma.f64 a -3 1))

rewrite13.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
10×add-exp-log_binary64
10×pow1_binary64
add-cbrt-cube_binary64
add-sqr-sqrt_binary64
*-un-lft-identity_binary64
Counts
4 → 63
Calls

4 calls:

5.0ms
(*.f64 (*.f64 b b) (fma.f64 a -3 1))
2.0ms
(pow.f64 (hypot.f64 a b) 4)
0.0ms
(fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4))
0.0ms
(fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1)))

series143.0ms (5.7%)

Counts
4 → 96
Calls

4 calls:

44.0ms
(fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4))
41.0ms
(pow.f64 (hypot.f64 a b) 4)
32.0ms
(*.f64 (*.f64 b b) (fma.f64 a -3 1))
25.0ms
(fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1)))

simplify135.0ms (5.4%)

Algorithm
egg-herbie
Rules
821×fma-def_binary64
417×fma-neg_binary64
408×associate-+l+_binary64
315×cancel-sign-sub-inv_binary64
250×exp-prod_binary64
Counts
159 → 290
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01493218
13642814
210652628
333672622
447542618
549902618

prune149.0ms (5.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2891290
Fresh101
Picked011
Done000
Total2902292
Error
0b
Counts
292 → 2
Alt Table
StatusErrorProgram
0.2b
(+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4))) -1)
0.0b
(+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) -1)
Compiler

Compiled 4089 to 2257 computations (44.8% saved)

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4)))
0.1b
(fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1)))
0.3b
(pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4))
0.4b
(*.f64 (*.f64 b b) (fma.f64 a -3 1))

rewrite5.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
11×unpow-prod-down_binary64
pow-unpow_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
Counts
2 → 39
Calls

2 calls:

3.0ms
(pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4))
0.0ms
(fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4)))

series84.0ms (3.3%)

Counts
2 → 48
Calls

2 calls:

45.0ms
(fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4)))
39.0ms
(pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4))

simplify107.0ms (4.3%)

Algorithm
egg-herbie
Rules
637×fma-neg_binary64
598×fma-def_binary64
490×cancel-sign-sub-inv_binary64
402×associate-+l+_binary64
273×distribute-lft-out_binary64
Counts
87 → 159
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01122078
12731827
27261634
328231611
446421585
549061585

prune163.0ms (6.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New3120312
Fresh000
Picked011
Done011
Total3122314
Error
0b
Counts
314 → 2
Alt Table
StatusErrorProgram
0.2b
(+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4))) -1)
0.0b
(+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) -1)
Compiler

Compiled 4807 to 2810 computations (41.5% saved)

regimes318.0ms (12.6%)

Accuracy

Total 0.1b remaining (71.6%)

Threshold costs 0.1b (71.6%)

Compiler

Compiled 6192 to 4414 computations (28.7% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
11325
21325

end1.0ms (0%)

Compiler

Compiled 20 to 12 computations (40% saved)

sample1.0s (40.6%)

Algorithm
intervals
Results
718.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 109 to 71 computations (34.9% saved)

Profiling

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