Details

Time bar (total: 1.5s)

analyze2.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
100%0%0%2
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample42.0ms (2.7%)

Algorithm
intervals
Results
22.0ms256×body128valid
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify9.0ms (0.6%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
1-exp_binary64
fma-def_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1108
298

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
16.3b
Counts
3 → 1
Alt Table
StatusErrorProgram
16.3b
(/.f64 x (fma.f64 x x 1))
Compiler

Compiled 28 to 16 computations (42.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
16.3b
(/.f64 x (fma.f64 x x 1))

series3.0ms (0.2%)

Counts
1 → 12
Calls

1 calls:

3.0ms
(/.f64 x (fma.f64 x x 1))

rewrite3.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
times-frac_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
associate-/r*_binary64
Counts
1 → 29
Calls

1 calls:

2.0ms
(/.f64 x (fma.f64 x x 1))

simplify72.0ms (4.7%)

Algorithm
egg-herbie
Rules
543×associate-/l*_binary64
513×div-sub_binary64
480×associate-/l/_binary64
388×fma-neg_binary64
289×distribute-rgt-in_binary64
Counts
41 → 48
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072635
1147601
2366580
3807580
42019580
54600580
65498580

prune35.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New46248
Fresh000
Picked011
Done000
Total46349
Error
0b
Counts
49 → 3
Alt Table
StatusErrorProgram
16.4b
(/.f64 1 (/.f64 (fma.f64 x x 1) x))
0.0b
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
16.3b
(/.f64 x (fma.f64 x x 1))
Compiler

Compiled 656 to 402 computations (38.7% saved)

localize5.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
0.0b
(/.f64 x (hypot.f64 1 x))
0.0b
(hypot.f64 1 x)
0.0b
(/.f64 1 (hypot.f64 1 x))

series15.0ms (1%)

Counts
4 → 48
Calls

4 calls:

5.0ms
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
3.0ms
(/.f64 1 (hypot.f64 1 x))
3.0ms
(/.f64 x (hypot.f64 1 x))
3.0ms
(hypot.f64 1 x)

rewrite22.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt_binary64
43×times-frac_binary64
36×*-un-lft-identity_binary64
34×add-cube-cbrt_binary64
32×add-exp-log_binary64
Counts
4 → 130
Calls

4 calls:

8.0ms
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
2.0ms
(/.f64 1 (hypot.f64 1 x))
2.0ms
(/.f64 x (hypot.f64 1 x))
0.0ms
(hypot.f64 1 x)

simplify121.0ms (7.9%)

Algorithm
egg-herbie
Rules
652×fma-neg_binary64
419×fma-def_binary64
379×associate-/l*_binary64
334×times-frac_binary64
281×associate-*l/_binary64
Counts
178 → 238
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02102692
15642453
216682430
342682422
449042404
549382404

prune216.0ms (14%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2710271
Fresh011
Picked011
Done011
Total2713274
Error
0b
Counts
274 → 3
Alt Table
StatusErrorProgram
16.4b
(/.f64 1 (/.f64 (fma.f64 x x 1) x))
0.0b
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
16.3b
(/.f64 x (fma.f64 x x 1))
Compiler

Compiled 4983 to 3742 computations (24.9% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (/.f64 (fma.f64 x x 1) x))
16.3b
(/.f64 (fma.f64 x x 1) x)

series9.0ms (0.6%)

Counts
2 → 24
Calls

2 calls:

6.0ms
(/.f64 1 (/.f64 (fma.f64 x x 1) x))
3.0ms
(/.f64 (fma.f64 x x 1) x)

rewrite13.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
84×times-frac_binary64
52×*-un-lft-identity_binary64
52×add-sqr-sqrt_binary64
52×add-cube-cbrt_binary64
16×associate-/r*_binary64
Counts
2 → 107
Calls

2 calls:

4.0ms
(/.f64 1 (/.f64 (fma.f64 x x 1) x))
2.0ms
(/.f64 (fma.f64 x x 1) x)

simplify112.0ms (7.3%)

Algorithm
egg-herbie
Rules
889×fma-neg_binary64
480×distribute-rgt-in_binary64
446×distribute-lft-in_binary64
328×fma-def_binary64
318×associate-/l*_binary64
Counts
131 → 165
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01172207
12251982
26011871
314351871
429861838
545591838
649401838

prune91.0ms (5.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1650165
Fresh000
Picked011
Done022
Total1653168
Error
0b
Counts
168 → 3
Alt Table
StatusErrorProgram
16.4b
(/.f64 1 (/.f64 (fma.f64 x x 1) x))
0.0b
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
16.3b
(/.f64 x (fma.f64 x x 1))
Compiler

Compiled 2727 to 1795 computations (34.2% saved)

regimes44.0ms (2.8%)

Accuracy

Total 0.0b remaining (72.8%)

Threshold costs 0.0b (72.8%)

Counts
22 → 1
Compiler

Compiled 406 to 292 computations (28.1% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
1813
2713

end0.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

sample708.0ms (46.1%)

Algorithm
intervals
Results
437.0ms8000×body128valid
Compiler

Compiled 48 to 33 computations (31.3% saved)

Profiling

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