Details

Time bar (total: 5.3s)

analyze2.1s (40.3%)

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
0%99.7%0.3%13
0%99.7%0.3%14
Compiler

Compiled 25 to 18 computations (28% saved)

sample2.0s (38.2%)

Symmetry

(sort x y)

(sort z t)

(sort a b)

Results
1.3s8256×body128valid
629.0ms3989×body128invalid
Compiler

Compiled 74 to 53 computations (28.4% saved)

simplify103.0ms (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

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.3b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.3b
(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)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series38.0ms (0.7%)

Counts
2 → 120
Calls

2 calls:

31.0ms
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))
7.0ms
(fma.f64 (*.f64 a b) -1/4 c)

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

simplify120.0ms (2.2%)

Algorithm
egg-herbie
Rules
384×distribute-lft-in_binary64
384×distribute-rgt-in_binary64
363×fma-def_binary64
307×associate-*l*_binary64
285×associate-*r*_binary64
Counts
140 → 53
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0532333
1972083
22011949
36361949
427701949
547021949
650461949

prune41.0ms (0.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New52153
Fresh000
Picked101
Done000
Total53154
Error
0.0b
Counts
54 → 1
Alt Table
StatusErrorProgram
0.0b
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 a (*.f64 b -1/4) c)))
Compiler

Compiled 998 to 483 computations (51.6% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series34.0ms (0.6%)

Counts
1 → 84
Calls

1 calls:

33.0ms
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 a (*.f64 b -1/4) c)))

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
1 → 10
Calls

1 calls:

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

simplify81.0ms (1.5%)

Algorithm
egg-herbie
Rules
627×associate-*l*_binary64
529×associate-*r*_binary64
307×fma-def_binary64
294×distribute-lft-in_binary64
294×distribute-rgt-in_binary64
Counts
94 → 34
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0431897
1851718
21751584
34611584
416871584
538471584
649971584

prune22.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New33134
Fresh000
Picked011
Done000
Total33235
Error
0b
Counts
35 → 2
Alt Table
StatusErrorProgram
0.0b
(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 a (*.f64 b -1/4) c)))
Compiler

Compiled 637 to 339 computations (46.8% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series39.0ms (0.7%)

Counts
2 → 120
Calls

2 calls:

32.0ms
(fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))
6.0ms
(fma.f64 1/16 (*.f64 t z) c)

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

simplify73.0ms (1.4%)

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

prune26.0ms (0.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Compiled 856 to 403 computations (52.9% saved)

regimes426.0ms (8%)

Accuracy

Total 0.0b remaining (56.5%)

Threshold costs 0.0b (56.5%)

Counts
22 → 1
Compiler

Compiled 7032 to 5118 computations (27.2% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01519
11619
21619

end101.0ms (1.9%)

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 210 to 140 computations (33.3% saved)

Profiling

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