Details

Time bar (total: 2.5s)

analyze480.0ms (19.6%)

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
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
0%99.9%0.1%8
0%99.9%0.1%9
46%49.5%4.4%10
50.3%44.9%4.8%11
55.6%39.2%5.2%12
62.9%25.7%11.4%13
65.2%23.2%11.7%14
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample101.0ms (4.1%)

Algorithm
intervals
Results
10.0ms256×body128valid
1.0ms36×body128invalid
Compiler

Compiled 32 to 24 computations (25% saved)

simplify120.0ms (4.9%)

Algorithm
egg-herbie
Rules
925×fma-neg_binary64
880×div-sub_binary64
795×fma-def_binary64
774×times-frac_binary64
463×cancel-sign-sub-inv_binary64
Counts
1 → 2
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01116
12416
25714
317214
440814
5124111
6269411
7403311
8421611
9458611
10447511
11449211
12470011

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 4 (/.f64 (-.f64 x y) z) -2)
Compiler

Compiled 44 to 30 computations (31.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
0.0b
(/.f64 (-.f64 x y) z)

series25.0ms (1%)

Counts
2 → 64
Calls

2 calls:

15.0ms
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
10.0ms
(/.f64 (-.f64 x y) z)

rewrite7.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity_binary64
20×add-sqr-sqrt_binary64
15×times-frac_binary64
12×add-cube-cbrt_binary64
associate-/l*_binary64
Counts
2 → 50
Calls

2 calls:

4.0ms
(/.f64 (-.f64 x y) z)
0.0ms
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)

simplify76.0ms (3.1%)

Algorithm
egg-herbie
Rules
539×times-frac_binary64
464×distribute-rgt-in_binary64
455×distribute-lft-in_binary64
431×associate-/l*_binary64
329×fma-def_binary64
Counts
114 → 78
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01071444
12401279
25081223
311851223
443711223
550141223

prune48.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New76278
Fresh000
Picked011
Done000
Total76379
Error
0b
Counts
79 → 3
Alt Table
StatusErrorProgram
0.0b
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
19.8b
(fma.f64 y (/.f64 -4 z) -2)
0.0b
(fma.f64 4 (-.f64 (/.f64 x z) (/.f64 y z)) -2)
Compiler

Compiled 1088 to 500 computations (54% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 4 (-.f64 (/.f64 x z) (/.f64 y z)) -2)
0.0b
(-.f64 (/.f64 x z) (/.f64 y z))

series32.0ms (1.3%)

Counts
2 → 54
Calls

2 calls:

17.0ms
(fma.f64 4 (-.f64 (/.f64 x z) (/.f64 y z)) -2)
16.0ms
(-.f64 (/.f64 x z) (/.f64 y z))

rewrite52.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
262×times-frac_binary64
212×add-sqr-sqrt_binary64
208×*-un-lft-identity_binary64
200×add-cube-cbrt_binary64
169×prod-diff_binary64
Counts
2 → 229
Calls

2 calls:

16.0ms
(-.f64 (/.f64 x z) (/.f64 y z))
0.0ms
(fma.f64 4 (-.f64 (/.f64 x z) (/.f64 y z)) -2)

simplify178.0ms (7.3%)

Algorithm
egg-herbie
Rules
527×associate-*l/_binary64
473×associate-*r/_binary64
387×associate-/l*_binary64
318×fma-neg_binary64
172×fma-udef_binary64
Counts
283 → 272
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03365418
17464422
214982886
341982886
447932886
547872886

prune150.0ms (6.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2720272
Fresh011
Picked011
Done011
Total2723275
Error
0b
Counts
275 → 3
Alt Table
StatusErrorProgram
0.0b
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
19.8b
(fma.f64 y (/.f64 -4 z) -2)
0.0b
(fma.f64 4 (-.f64 (/.f64 x z) (/.f64 y z)) -2)
Compiler

Compiled 9833 to 2641 computations (73.1% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 y (/.f64 -4 z) -2)

series16.0ms (0.7%)

Counts
1 → 24
Calls

1 calls:

16.0ms
(fma.f64 y (/.f64 -4 z) -2)

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 y (/.f64 -4 z) -2)

simplify57.0ms (2.3%)

Algorithm
egg-herbie
Rules
764×fma-neg_binary64
579×associate-*l/_binary64
502×associate-*r/_binary64
331×div-sub_binary64
300×associate-*l*_binary64
Counts
34 → 17
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024367
143278
286278
3325278
41378278
53837278
65139278

prune10.0ms (0.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New17017
Fresh000
Picked011
Done022
Total17320
Error
0b
Counts
20 → 3
Alt Table
StatusErrorProgram
0.0b
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
19.8b
(fma.f64 y (/.f64 -4 z) -2)
0.0b
(fma.f64 4 (-.f64 (/.f64 x z) (/.f64 y z)) -2)
Compiler

Compiled 191 to 137 computations (28.3% saved)

regimes92.0ms (3.7%)

Accuracy

Total 0.0b remaining (64.1%)

Threshold costs 0.0b (64.1%)

Counts
17 → 1
Compiler

Compiled 910 to 690 computations (24.2% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11111
21611
31811
41911
51911

end0.0ms (0%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample983.0ms (40.1%)

Algorithm
intervals
Results
617.0ms8000×body128valid
41.0ms955×body128invalid
Compiler

Compiled 62 to 46 computations (25.8% saved)

Profiling

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