Details

Time bar (total: 1.6s)

analyze1.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
100%0%0%3
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample766.0ms (47.6%)

Results
737.0ms8256×body128valid
Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify6.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1108
298

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
16.6b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶16.6b
(/.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
✓16.6b
(/.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))

rewrite85.0ms (5.3%)

Algorithm
1×batch-egg-rewrite
Rules
462×log1p-expm1-u_binary64
462×expm1-log1p-u_binary64
316×unpow-prod-down_binary64
231×log-prod_binary64
149×prod-diff_binary64
Counts
1 → 66
Calls

1 calls:

83.0ms
(/.f64 x (fma.f64 x x 1))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1988
211868
348998
451418

simplify82.0ms (5.1%)

Algorithm
1×egg-herbie
Rules
675×div-sub_binary64
485×times-frac_binary64
468×fma-def_binary64
300×distribute-rgt-neg-in_binary64
270×sub-neg_binary64
Counts
78 → 78
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023180
165180
2171180
3413180
41056180
52530180
64550180
74854180
85378180

prune46.0ms (2.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New75378
Fresh000
Picked011
Done000
Total75479
Error
0b
Counts
79 → 4
Alt Table
StatusErrorProgram
✓16.6b
(/.f64 x (fma.f64 x x 1))
▶16.0b
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
28.9b
(/.f64 1 x)
34.7b
(-.f64 x (pow.f64 x 3))
Compiler

Compiled 1108 to 746 computations (32.7% saved)

localize4.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(hypot.f64 1 x)
✓0.0b
(pow.f64 (hypot.f64 1 x) -2)
✓16.0b
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))

series8.0ms (0.5%)

Counts
3 → 36
Calls

3 calls:

3.0ms
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
3.0ms
(pow.f64 (hypot.f64 1 x) -2)
2.0ms
(hypot.f64 1 x)

rewrite49.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
534×log1p-expm1-u_binary64
534×expm1-log1p-u_binary64
409×unpow-prod-down_binary64
275×log-prod_binary64
164×pow2_binary64
Counts
3 → 85
Calls

3 calls:

48.0ms
(hypot.f64 1 x)
48.0ms
(pow.f64 (hypot.f64 1 x) -2)
48.0ms
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
114021
2141821
3519321

simplify80.0ms (5%)

Algorithm
1×egg-herbie
Rules
593×associate-*l*_binary64
420×associate-*r*_binary64
387×cancel-sign-sub-inv_binary64
368×fma-neg_binary64
293×associate-/r*_binary64
Counts
121 → 132
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
068542
1201534
2542528
31562528
44008526
54879526
65132526

prune98.0ms (6.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1320132
Fresh022
Picked011
Done011
Total1324136
Error
0b
Counts
136 → 4
Alt Table
StatusErrorProgram
✓16.6b
(/.f64 x (fma.f64 x x 1))
✓16.0b
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
▶28.9b
(/.f64 1 x)
34.7b
(-.f64 x (pow.f64 x 3))
Compiler

Compiled 1856 to 1430 computations (23% saved)

localize2.0ms (0.1%)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044
Error
0b
Counts
4 → 4
Alt Table
StatusErrorProgram
✓16.6b
(/.f64 x (fma.f64 x x 1))
✓16.0b
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
✓28.9b
(/.f64 1 x)
▶34.7b
(-.f64 x (pow.f64 x 3))
Compiler

Compiled 31 to 21 computations (32.3% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (pow.f64 x 3))

series3.0ms (0.2%)

Counts
1 → 3
Calls

1 calls:

3.0ms
(-.f64 x (pow.f64 x 3))

rewrite99.0ms (6.2%)

Algorithm
1×batch-egg-rewrite
Rules
549×log1p-expm1-u_binary64
549×expm1-log1p-u_binary64
456×prod-diff_binary64
321×fma-udef_binary64
288×fma-def_binary64
Counts
1 → 97
Calls

1 calls:

97.0ms
(-.f64 x (pow.f64 x 3))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11147
213757
348197
448597
549547

simplify111.0ms (6.9%)

Algorithm
1×egg-herbie
Rules
1381×fma-def_binary64
685×fma-neg_binary64
599×distribute-rgt-neg-in_binary64
598×distribute-lft-neg-in_binary64
466×associate-*l*_binary64
Counts
100 → 100
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
11613
24413
36413
411413
528613
681213
7148213
8231013
9322413
10374513
11410613
12462213
13487513
14501613

prune50.0ms (3.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1000100
Fresh000
Picked011
Done033
Total1004104
Error
0b
Counts
104 → 4
Alt Table
StatusErrorProgram
✓16.6b
(/.f64 x (fma.f64 x x 1))
✓16.0b
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
✓28.9b
(/.f64 1 x)
✓34.7b
(-.f64 x (pow.f64 x 3))
Compiler

Compiled 1549 to 959 computations (38.1% saved)

regimes39.0ms (2.4%)

Accuracy

Total 0.0b remaining (76%)

Threshold costs 0.0b (76%)

Counts
7 → 3
Compiler

Compiled 98 to 64 computations (34.7% saved)

bsearch3.0ms (0.2%)

Steps
ItersRangePoint
1
453608.2550972888
62003691789467.62
5352880194.203988
1
-2.584034014630362e+37
-4.188085876352988e+30
-1.0039086763418453e+34
Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01328
11528
21428

end60.0ms (3.8%)

Compiler

Compiled 67 to 45 computations (32.8% saved)

Profiling

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