Details

Time bar (total: 1.9s)

analyze1.0ms (0.1%)

Algorithm
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)

sample1.4s (72.1%)

Results
1.4s8256×body128valid
Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify7.0ms (0.3%)

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

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
15.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
15.1b
(/.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
15.1b
(/.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))

rewrite74.0ms (3.8%)

Algorithm
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 → 67
Calls

1 calls:

73.0ms
(/.f64 x (fma.f64 x x 1))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1988
211868
348998
451418

simplify79.0ms (4.1%)

Algorithm
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
79 → 79
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023180
165180
2171180
3413180
41056180
52530180
64550180
74854180
85378180

prune52.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New77279
Fresh000
Picked011
Done000
Total77380
Error
0b
Counts
80 → 3
Alt Table
StatusErrorProgram
15.1b
(/.f64 x (fma.f64 x x 1))
15.1b
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
34.4b
(/.f64 1 x)
Compiler

Compiled 1102 to 741 computations (32.8% saved)

localize4.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 1 x)
0.0b
(pow.f64 (hypot.f64 1 x) -2)
15.1b
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))

series8.0ms (0.4%)

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)

rewrite47.0ms (2.5%)

Algorithm
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 → 88
Calls

3 calls:

46.0ms
(hypot.f64 1 x)
46.0ms
(pow.f64 (hypot.f64 1 x) -2)
46.0ms
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
114021
2141821
3519321

simplify79.0ms (4.1%)

Algorithm
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
124 → 135
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
068542
1201534
2542528
31562528
44008526
54879526
65132526

prune72.0ms (3.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh011
Picked011
Done011
Total1353138
Error
0b
Counts
138 → 3
Alt Table
StatusErrorProgram
15.1b
(/.f64 x (fma.f64 x x 1))
15.1b
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
34.4b
(/.f64 1 x)
Compiler

Compiled 1865 to 1437 computations (22.9% saved)

localize2.0ms (0.1%)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Error
0b
Counts
3 → 3
Alt Table
StatusErrorProgram
15.1b
(/.f64 x (fma.f64 x x 1))
15.1b
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
34.4b
(/.f64 1 x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes36.0ms (1.9%)

Accuracy

Total 0.0b remaining (71.3%)

Threshold costs 0.0b (71.3%)

Counts
8 → 3
Compiler

Compiled 118 to 78 computations (33.9% saved)

bsearch8.0ms (0.4%)

Steps
ItersRangePoint
3
0.0008901130766007096
5158233907.499536
127757795.41906317
2
-2.832660676944407e+44
-3.232324858115743e+41
-1.7957506658810687e+42
Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01530
11830
21730

end55.0ms (2.8%)

Compiler

Compiled 63 to 45 computations (28.6% saved)

Profiling

Loading profile data...