Details

Time bar (total: 1.3s)

analyze2.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
99.9%0%0.1%1
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample624.0ms (46.9%)

Infinites
12.3% of outputs are infinite.
Symmetry

(sort y z)

Results
561.0ms8256×body128valid
Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify14.0ms (1%)

Algorithm
egg-herbie
Rules
100×fma-def_binary64
56×fma-neg_binary64
28×cancel-sign-sub-inv_binary64
18×sub-neg_binary64
13×distribute-rgt-neg-in_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2227
3397
4537
5837
61157
71427
81787
91867
102067
112127
121897

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(-.f64 x (*.f64 y z))
Compiler

Compiled 24 to 15 computations (37.5% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 y z))

series6.0ms (0.4%)

Counts
1 → 9
Calls

1 calls:

5.0ms
(-.f64 x (*.f64 y z))

rewrite5.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64
fma-neg_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
prod-diff_binary64
Counts
1 → 20
Calls

1 calls:

4.0ms
(-.f64 x (*.f64 y z))

simplify90.0ms (6.7%)

Algorithm
egg-herbie
Rules
520×fma-def_binary64
468×unsub-neg_binary64
418×sub-neg_binary64
312×times-frac_binary64
248×neg-mul-1_binary64
Counts
29 → 27
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045321
1106255
2271237
3937237
42175237
53396237
64633237
74756237
84854237

prune12.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New26127
Fresh000
Picked011
Done000
Total26228
Error
0.0b
Counts
28 → 2
Alt Table
StatusErrorProgram
0.0b
(-.f64 x (*.f64 y z))
31.9b
(/.f64 (*.f64 (-.f64 x (*.f64 y z)) (fma.f64 y z x)) (fma.f64 y z x))
Compiler

Compiled 345 to 105 computations (69.6% saved)

localize9.0ms (0.7%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 y z))
0.1b
(*.f64 (-.f64 x (*.f64 y z)) (fma.f64 y z x))
31.1b
(/.f64 (*.f64 (-.f64 x (*.f64 y z)) (fma.f64 y z x)) (fma.f64 y z x))

series25.0ms (1.9%)

Counts
2 → 72
Calls

2 calls:

19.0ms
(*.f64 (-.f64 x (*.f64 y z)) (fma.f64 y z x))
6.0ms
(/.f64 (*.f64 (-.f64 x (*.f64 y z)) (fma.f64 y z x)) (fma.f64 y z x))

rewrite12.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
add-sqr-sqrt_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
2 → 49
Calls

2 calls:

5.0ms
(/.f64 (*.f64 (-.f64 x (*.f64 y z)) (fma.f64 y z x)) (fma.f64 y z x))
4.0ms
(*.f64 (-.f64 x (*.f64 y z)) (fma.f64 y z x))

simplify79.0ms (6%)

Algorithm
egg-herbie
Rules
552×distribute-rgt-in_binary64
529×distribute-lft-in_binary64
524×times-frac_binary64
352×associate-/l/_binary64
285×fma-def_binary64
Counts
121 → 79
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0921571
12391457
210711457
347521456
449781456

prune42.0ms (3.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1051106
Fresh000
Picked101
Done011
Total1062108
Error
0b
Counts
108 → 2
Alt Table
StatusErrorProgram
40.9b
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (fma.f64 y z x))
0.0b
(-.f64 x (*.f64 y z))
Compiler

Compiled 2255 to 393 computations (82.6% saved)

localize13.0ms (1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
4.2b
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
13.1b
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
31.1b
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (fma.f64 y z x))

series58.0ms (4.4%)

Counts
3 → 45
Calls

3 calls:

25.0ms
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (fma.f64 y z x))
21.0ms
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
12.0ms
(*.f64 (pow.f64 y 2) (pow.f64 z 2))

rewrite25.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt_binary64
20×unpow-prod-down_binary64
19×*-un-lft-identity_binary64
19×add-cube-cbrt_binary64
17×add-exp-log_binary64
Counts
3 → 115
Calls

3 calls:

7.0ms
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (fma.f64 y z x))
5.0ms
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
4.0ms
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))

simplify112.0ms (8.4%)

Algorithm
egg-herbie
Rules
575×fma-neg_binary64
305×fma-def_binary64
255×*-commutative_binary64
218×log-prod_binary64
198×unswap-sqr_binary64
Counts
160 → 182
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01782757
13712506
210952279
332532248
446172248
549082248

prune98.0ms (7.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1820182
Fresh000
Picked011
Done011
Total1822184
Error
0b
Counts
184 → 2
Alt Table
StatusErrorProgram
40.9b
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (fma.f64 y z x))
0.0b
(-.f64 x (*.f64 y z))
Compiler

Compiled 4595 to 2239 computations (51.3% saved)

regimes48.0ms (3.6%)

Accuracy

Total 0.0b remaining (23.4%)

Threshold costs 0.0b (23.4%)

Counts
7 → 1
Compiler

Compiled 482 to 291 computations (39.6% saved)

simplify5.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2227
3287
4327
5337
6337

end47.0ms (3.5%)

Remove

(sort y z)

Compiler

Compiled 59 to 38 computations (35.6% saved)

Profiling

Loading profile data...