Details

Time bar (total: 6.1s)

analyze2.2s (35.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
0%99.6%0.4%8
0%99.6%0.4%9
0%99.6%0.4%10
0%99.6%0.4%11
0%99.6%0.4%12
0%99.6%0.4%13
0%99.6%0.4%14
Compiler

Compiled 24 to 16 computations (33.3% saved)

sample2.5s (41.4%)

Symmetry

(sort x y)

(sort z t)

(sort a b)

(sort c i)

Results
1.5s8256×body128valid
964.0ms5951×body128invalid
Compiler

Compiled 71 to 47 computations (33.8% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
58×fma-def_binary64
24×associate-+l+_binary64
22×associate-+r+_binary64
17×+-commutative_binary64
*-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01620
12816
26116
310516
412116
512316
612316

prune3.0ms (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 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))
Compiler

Compiled 75 to 42 computations (44% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 a b (fma.f64 x y (*.f64 z t)))
0.0b
(fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))
0.0b
(fma.f64 x y (*.f64 z t))

series59.0ms (1%)

Counts
3 → 216
Calls

3 calls:

32.0ms
(fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))
18.0ms
(fma.f64 a b (fma.f64 x y (*.f64 z t)))
8.0ms
(fma.f64 x y (*.f64 z t))

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
3 → 30
Calls

3 calls:

0.0ms
(fma.f64 x y (*.f64 z t))
0.0ms
(fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))
0.0ms
(fma.f64 a b (fma.f64 x y (*.f64 z t)))

simplify116.0ms (1.9%)

Algorithm
egg-herbie
Rules
864×unswap-sqr_binary64
587×fma-def_binary64
579×associate-+r+_binary64
555×associate-+l+_binary64
395×associate-*l*_binary64
Counts
246 → 75
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0612908
1952833
22242833
39252833
432982833
534432833
649722833

prune53.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New73275
Fresh000
Picked101
Done000
Total74276
Error
0b
Counts
76 → 2
Alt Table
StatusErrorProgram
0.0b
(fma.f64 y x (fma.f64 a b (fma.f64 t z (*.f64 c i))))
0.0b
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
Compiler

Compiled 1296 to 268 computations (79.3% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 a b (fma.f64 t z (*.f64 y x)))
0.0b
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
0.0b
(fma.f64 t z (*.f64 y x))

series58.0ms (1%)

Counts
3 → 216
Calls

3 calls:

29.0ms
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
18.0ms
(fma.f64 a b (fma.f64 t z (*.f64 y x)))
10.0ms
(fma.f64 t z (*.f64 y x))

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
3 → 30
Calls

3 calls:

0.0ms
(fma.f64 t z (*.f64 y x))
0.0ms
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
0.0ms
(fma.f64 a b (fma.f64 t z (*.f64 y x)))

simplify143.0ms (2.4%)

Algorithm
egg-herbie
Rules
864×unswap-sqr_binary64
587×fma-def_binary64
579×associate-+r+_binary64
555×associate-+l+_binary64
395×associate-*l*_binary64
Counts
246 → 74
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0592908
1952833
22242833
39252833
433162833
534612833
649722833

prune32.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New74074
Fresh011
Picked011
Done000
Total74276
Error
0b
Counts
76 → 2
Alt Table
StatusErrorProgram
0.0b
(fma.f64 y x (fma.f64 a b (fma.f64 t z (*.f64 c i))))
0.0b
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
Compiler

Compiled 1263 to 251 computations (80.1% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 t z (*.f64 c i))
0.0b
(fma.f64 y x (fma.f64 a b (fma.f64 t z (*.f64 c i))))

series42.0ms (0.7%)

Counts
2 → 144
Calls

2 calls:

30.0ms
(fma.f64 y x (fma.f64 a b (fma.f64 t z (*.f64 c i))))
8.0ms
(fma.f64 t z (*.f64 c i))

rewrite1.0ms (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:

0.0ms
(fma.f64 y x (fma.f64 a b (fma.f64 t z (*.f64 c i))))
0.0ms
(fma.f64 t z (*.f64 c i))

simplify167.0ms (2.8%)

Algorithm
egg-herbie
Rules
562×associate-/l/_binary64
460×associate-*l*_binary64
436×unswap-sqr_binary64
413×distribute-rgt-out_binary64
390×+-commutative_binary64
Counts
164 → 41
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0481992
1771942
21741942
36991942
421101942
528261942
636671942
737941942
840451942
942301942
1049381942
1149281942

prune25.0ms (0.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New41041
Fresh000
Picked011
Done011
Total41243
Error
0b
Counts
43 → 2
Alt Table
StatusErrorProgram
0.0b
(fma.f64 y x (fma.f64 a b (fma.f64 t z (*.f64 c i))))
0.0b
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
Compiler

Compiled 645 to 129 computations (80% saved)

regimes501.0ms (8.3%)

Accuracy

Total 0.0b remaining (78.8%)

Threshold costs 0.0b (78.8%)

Counts
28 → 1
Compiler

Compiled 8435 to 5717 computations (32.2% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01316
11416
21416

end135.0ms (2.2%)

Remove

(sort c i)

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 240 to 144 computations (40% saved)

Profiling

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