Details

Time bar (total: 7.9s)

analyze4.1s (52%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.2%98.5%0.3%13
1.8%97.9%0.3%14
Compiler

Compiled 25 to 18 computations (28% saved)

sample129.0ms (1.6%)

Algorithm
intervals
Results
31.0ms256×body128valid
14.0ms120×body128invalid
Compiler

Compiled 56 to 42 computations (25% saved)

simplify149.0ms (1.9%)

Algorithm
egg-herbie
Rules
1251×fma-neg_binary64
530×fma-def_binary64
258×cancel-sign-sub-inv_binary64
148×distribute-rgt-in_binary64
135×sub-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01823
13423
27722
315621
433219
567419
695919
7136519
8181519
9183519
10184519
11184619
12184619
13216219
14216619
15216619
16205519

prune7.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.0b
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))
Compiler

Compiled 80 to 51 computations (36.3% saved)

localize21.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c))
0.0b
(fma.f64 (*.f64 a b) -1/4 c)
0.0b
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))

series121.0ms (1.5%)

Counts
3 → 180
Calls

3 calls:

70.0ms
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))
37.0ms
(fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c))
13.0ms
(fma.f64 (*.f64 a b) -1/4 c)

rewrite4.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
3 → 30
Calls

3 calls:

1.0ms
(fma.f64 (*.f64 a b) -1/4 c)
1.0ms
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))
1.0ms
(fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c))

simplify258.0ms (3.3%)

Algorithm
egg-herbie
Rules
560×distribute-lft-in_binary64
560×distribute-rgt-in_binary64
420×fma-def_binary64
395×associate-*l*_binary64
366×associate-*r*_binary64
Counts
210 → 62
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0643513
11123132
22312908
37802908
437022908
549692908
650002908
749532908

prune57.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New61162
Fresh000
Picked011
Done000
Total61263
Error
0b
Counts
63 → 2
Alt Table
StatusErrorProgram
0.3b
(fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))
0.0b
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))
Compiler

Compiled 1159 to 564 computations (51.3% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))
0.2b
(fma.f64 1/16 (*.f64 t z) c)

series58.0ms (0.7%)

Counts
2 → 120
Calls

2 calls:

49.0ms
(fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))
9.0ms
(fma.f64 1/16 (*.f64 t z) c)

rewrite2.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
2 → 20
Calls

2 calls:

1.0ms
(fma.f64 1/16 (*.f64 t z) c)
0.0ms
(fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))

simplify98.0ms (1.2%)

Algorithm
egg-herbie
Rules
579×associate-*l*_binary64
548×associate-*r*_binary64
433×distribute-rgt-neg-out_binary64
421×fma-def_binary64
181×*-commutative_binary64
Counts
140 → 47
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0502148
1901960
21981952
38181952
432501952
550711952

prune30.0ms (0.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New47047
Fresh000
Picked011
Done011
Total47249
Error
0b
Counts
49 → 2
Alt Table
StatusErrorProgram
0.3b
(fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))
0.0b
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))
Compiler

Compiled 872 to 398 computations (54.4% saved)

regimes674.0ms (8.6%)

Accuracy

Total 0.0b remaining (93.1%)

Threshold costs 0.0b (93.1%)

Counts
21 → 1
Compiler

Compiled 6368 to 4655 computations (26.9% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01519
11619
21619

end106.0ms (1.3%)

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 147 to 98 computations (33.3% saved)

sample2.0s (26%)

Algorithm
intervals
Results
746.0ms8000×body128valid
380.0ms3935×body128invalid
Compiler

Compiled 95 to 67 computations (29.5% saved)

Profiling

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