Details

Time bar (total: 1.8s)

analyze101.0ms (5.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 24 to 16 computations (33.3% saved)

sample26.0ms (1.4%)

Algorithm
intervals
Results
13.0ms256×body128valid
5.0ms256×pre128true
Compiler

Compiled 43 to 29 computations (32.6% saved)

simplify157.0ms (8.6%)

Algorithm
egg-herbie
Rules
1559×fma-def_binary64
1131×fma-neg_binary64
640×distribute-rgt-neg-in_binary64
486×cancel-sign-sub-inv_binary64
457×sqr-pow_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01220
12920
27620
317420
436420
577220
6140020
7234320
8285020
9315920
10339820
11368420
12389320
13318720
14368520
15474020
16482820

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
62.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
62.0b
(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (fma.f64 y y -2)))
Compiler

Compiled 63 to 41 computations (34.9% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
62.0b
(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (fma.f64 y y -2)))

rewrite6.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64
associate--r+_binary64
fma-udef_binary64
distribute-lft-in_binary64
distribute-rgt-in_binary64
Counts
1 → 18
Calls

1 calls:

4.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (fma.f64 y y -2)))

series43.0ms (2.3%)

Counts
1 → 24
Calls

1 calls:

42.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (fma.f64 y y -2)))

simplify140.0ms (7.7%)

Algorithm
egg-herbie
Rules
502×associate-*l*_binary64
410×associate-*r*_binary64
327×fma-def_binary64
305×cancel-sign-sub-inv_binary64
235×fma-neg_binary64
Counts
42 → 79
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054904
1157839
2559826
32466826
44583826
54923826

prune24.0ms (1.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New78179
Fresh000
Picked101
Done000
Total79180
Error
0b
Counts
80 → 1
Alt Table
StatusErrorProgram
0b
(+.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (*.f64 (fma.f64 y y -2) (*.f64 y y)))) (fma.f64 (neg.f64 (fma.f64 y y -2)) (*.f64 y y) (*.f64 (fma.f64 y y -2) (*.f64 y y))))
Compiler

Compiled 922 to 579 computations (37.2% saved)

localize12.0ms (0.7%)

Local error

Found 2 expressions with local error:

NewErrorProgram
62.0b
(fma.f64 (neg.f64 (fma.f64 y y -2)) (*.f64 y y) (*.f64 (fma.f64 y y -2) (*.f64 y y)))
62.0b
(fma.f64 9 (pow.f64 x 4) (neg.f64 (*.f64 (fma.f64 y y -2) (*.f64 y y))))

rewrite2.0ms (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
2 → 20
Calls

2 calls:

0.0ms
(fma.f64 9 (pow.f64 x 4) (neg.f64 (*.f64 (fma.f64 y y -2) (*.f64 y y))))
0.0ms
(fma.f64 (neg.f64 (fma.f64 y y -2)) (*.f64 y y) (*.f64 (fma.f64 y y -2) (*.f64 y y)))

series282.0ms (15.4%)

Counts
2 → 36
Calls

2 calls:

174.0ms
(fma.f64 9 (pow.f64 x 4) (neg.f64 (*.f64 (fma.f64 y y -2) (*.f64 y y))))
108.0ms
(fma.f64 (neg.f64 (fma.f64 y y -2)) (*.f64 y y) (*.f64 (fma.f64 y y -2) (*.f64 y y)))

simplify87.0ms (4.8%)

Algorithm
egg-herbie
Rules
702×associate-*l*_binary64
599×fma-neg_binary64
557×associate-*r*_binary64
428×exp-prod_binary64
409×distribute-rgt-in_binary64
Counts
56 → 92
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044919
179788
2201669
3754669
43592669
54911669
64765669

prune40.0ms (2.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New92092
Fresh000
Picked011
Done000
Total92193
Error
0b
Counts
93 → 1
Alt Table
StatusErrorProgram
0b
(+.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (*.f64 (fma.f64 y y -2) (*.f64 y y)))) (fma.f64 (neg.f64 (fma.f64 y y -2)) (*.f64 y y) (*.f64 (fma.f64 y y -2) (*.f64 y y))))
Compiler

Compiled 1588 to 878 computations (44.7% saved)

regimes41.0ms (2.3%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 754 to 489 computations (35.1% saved)

simplify5.0ms (0.2%)

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
01546
12646
23746
34346
44646
54746
64746

end1.0ms (0%)

Compiler

Compiled 34 to 19 computations (44.1% saved)

sample851.0ms (46.5%)

Algorithm
intervals
Results
358.0ms8000×body128valid
199.0ms8000×pre128true
Compiler

Compiled 94 to 56 computations (40.4% saved)

Profiling

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