Details

Time bar (total: 1.8s)

analyze159.0ms (8.9%)

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%50%25.1%6
25%31.2%43.8%7
25%21.9%53.2%8
25%14%61%9
28.1%10.9%61%10
31.6%7.4%61%11
33.4%5.7%61%12
35.2%3.8%61%13
36.1%2.9%61%14
Compiler

Compiled 20 to 13 computations (35% saved)

sample23.0ms (1.3%)

Algorithm
intervals
Results
15.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 41 to 27 computations (34.1% saved)

simplify50.0ms (2.8%)

Algorithm
egg-herbie
Rules
770×unswap-sqr_binary64
631×associate-*l*_binary64
623×fma-def_binary64
311×fma-neg_binary64
283×sub-neg_binary64
Counts
1 → 1
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01323
13021
26021
315921
451817
5168717
6359717
7502617

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 b (*.f64 b 4) -1))
Compiler

Compiled 42 to 30 computations (28.6% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(hypot.f64 a b)
0.0b
(pow.f64 (hypot.f64 a b) 4)

rewrite22.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-exp-log_binary64
pow1_binary64
Counts
2 → 30
Calls

2 calls:

2.0ms
(pow.f64 (hypot.f64 a b) 4)
0.0ms
(hypot.f64 a b)
Compiler

Compiled 485 to 289 computations (40.4% saved)

series107.0ms (6%)

Error
0b
Counts
2 → 33
Calls

2 calls:

70.0ms
(pow.f64 (hypot.f64 a b) 4)
22.0ms
(hypot.f64 a b)
Compiler

Compiled 1203 to 917 computations (23.8% saved)

simplify67.0ms (3.8%)

Algorithm
egg-herbie
Rules
620×associate-/l*_binary64
556×fma-def_binary64
425×fma-neg_binary64
390×associate-/r*_binary64
264×cancel-sign-sub-inv_binary64
Counts
63 → 39
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
077803
1174761
2430738
31517738
44752738
55040738

prune22.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New38139
Fresh000
Picked011
Done000
Total38240
Error
0b
Counts
40 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 b (*.f64 b 4) -1))
0.1b
(+.f64 (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 2 (*.f64 a a)))) (pow.f64 a 4)) (fma.f64 b (*.f64 b 4) -1))
Compiler

Compiled 480 to 295 computations (38.5% saved)

localize14.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b
(fma.f64 b b (*.f64 2 (*.f64 a a)))
0.0b
(*.f64 2 (*.f64 a a))
0.1b
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 2 (*.f64 a a)))) (pow.f64 a 4))
0.2b
(*.f64 b (fma.f64 b b (*.f64 2 (*.f64 a a))))

rewrite65.0ms (3.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
11×add-cbrt-cube_binary64
11×add-exp-log_binary64
11×pow1_binary64
10×add-sqr-sqrt_binary64
*-un-lft-identity_binary64
Counts
4 → 63
Calls

4 calls:

6.0ms
(*.f64 2 (*.f64 a a))
3.0ms
(*.f64 b (fma.f64 b b (*.f64 2 (*.f64 a a))))
0.0ms
(fma.f64 b b (*.f64 2 (*.f64 a a)))
0.0ms
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 2 (*.f64 a a)))) (pow.f64 a 4))
Compiler

Compiled 1702 to 956 computations (43.8% saved)

series119.0ms (6.7%)

Error
0b
Counts
4 → 45
Calls

4 calls:

50.0ms
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 2 (*.f64 a a)))) (pow.f64 a 4))
29.0ms
(*.f64 b (fma.f64 b b (*.f64 2 (*.f64 a a))))
23.0ms
(fma.f64 b b (*.f64 2 (*.f64 a a)))
7.0ms
(*.f64 2 (*.f64 a a))
Compiler

Compiled 1718 to 1246 computations (27.5% saved)

simplify131.0ms (7.3%)

Algorithm
egg-herbie
Rules
453×associate-*l*_binary64
375×exp-prod_binary64
346×associate-*r*_binary64
291×associate-+r+_binary64
291×associate-+l+_binary64
Counts
108 → 80
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01011615
11911439
25301430
316951430
434581420
545321420
649991420
749451420

prune41.0ms (2.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New80080
Fresh000
Picked011
Done011
Total80282
Error
0b
Counts
82 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 b (*.f64 b 4) -1))
0.1b
(+.f64 (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 2 (*.f64 a a)))) (pow.f64 a 4)) (fma.f64 b (*.f64 b 4) -1))
Compiler

Compiled 1253 to 698 computations (44.3% saved)

regimes115.0ms (6.4%)

Accuracy

Total 0.0b remaining (20.5%)

Threshold costs 0.0b (20.5%)

Compiler

Compiled 1846 to 1342 computations (27.3% saved)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01735
12335
22335

end1.0ms (0.1%)

Compiler

Compiled 26 to 20 computations (23.1% saved)

sample834.0ms (46.8%)

Algorithm
intervals
Results
542.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 86 to 60 computations (30.2% saved)

Profiling

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