Details

Time bar (total: 1.1s)

analyze4.0ms (0.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
50%12.5%37.5%5
50%6.2%43.8%6
50%3.1%46.9%7
50%1.6%48.5%8
50%0.8%49.2%9
50%0.4%49.6%10
50.2%0.2%49.6%11
50.2%0.1%49.7%12
50.2%0%49.8%13
50.2%0%49.8%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample70.0ms (6.1%)

Algorithm
1×intervals
Results
10.0ms256×body128valid
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify42.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
668×div-sub_binary64
499×fma-def_binary64
417×times-frac_binary64
411×associate-/l*_binary64
366×associate-/r*_binary64
Counts
1 → 2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0711
1199
2459
3897
41917
54387
612947
736357
853177

prune2.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(exp.f64 (fma.f64 x x -1))
Compiler

Compiled 25 to 17 computations (32% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(exp.f64 (fma.f64 x x -1))

series2.0ms (0.2%)

Counts
1 → 4
Calls

1 calls:

2.0ms
(exp.f64 (fma.f64 x x -1))

rewrite2.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
3×exp-prod_binary64
2×add-log-exp_binary64
2×*-un-lft-identity_binary64
2×add-sqr-sqrt_binary64
2×add-cube-cbrt_binary64
Counts
1 → 14
Calls

1 calls:

1.0ms
(exp.f64 (fma.f64 x x -1))

simplify53.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
431×fma-def_binary64
418×exp-sum_binary64
378×associate-*l*_binary64
330×unswap-sqr_binary64
324×distribute-lft-out_binary64
Counts
18 → 23
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042221
184206
2178190
3528183
41777183
54482183
65315183

prune16.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New22123
Fresh000
Picked011
Done000
Total22224
Error
0.0b
Counts
24 → 2
Alt Table
StatusErrorProgram
▶0.0b
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
✓0.0b
(exp.f64 (fma.f64 x x -1))
Compiler

Compiled 272 to 203 computations (25.4% saved)

localize7.0ms (0.6%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (fma.f64 x x -1))
✓1.0b
(log1p.f64 (exp.f64 (fma.f64 x x -1)))
✓1.0b
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))

series245.0ms (21.5%)

Counts
2 → 24
Calls

2 calls:

242.0ms
(log1p.f64 (exp.f64 (fma.f64 x x -1)))
2.0ms
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))

rewrite1.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
3×expm1-log1p-u_binary64
2×*-un-lft-identity_binary64
2×add-sqr-sqrt_binary64
2×add-cube-cbrt_binary64
2×add-cbrt-cube_binary64
Counts
2 → 22
Calls

2 calls:

0.0ms
(log1p.f64 (exp.f64 (fma.f64 x x -1)))
0.0ms
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))

simplify64.0ms (5.6%)

Algorithm
1×egg-herbie
Rules
623×fma-neg_binary64
402×unswap-sqr_binary64
330×times-frac_binary64
237×associate-/l*_binary64
200×distribute-rgt-neg-in_binary64
Counts
46 → 46
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
075711
1188659
2583614
33024609
44876609
55102609

prune44.0ms (3.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New69069
Fresh000
Picked011
Done011
Total69271
Error
0.0b
Counts
71 → 2
Alt Table
StatusErrorProgram
✓0.0b
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
✓0.0b
(exp.f64 (fma.f64 x x -1))
Compiler

Compiled 1071 to 876 computations (18.2% saved)

regimes49.0ms (4.3%)

Accuracy

Total 0.0b remaining (32.1%)

Threshold costs 0.0b (32.1%)

Counts
7 → 1
Compiler

Compiled 418 to 321 computations (23.2% saved)

simplify2.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1711

end0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

sample535.0ms (46.9%)

Algorithm
1×intervals
Results
317.0ms8000×body128valid
0.0ms2×body128invalid
Compiler

Compiled 32 to 24 computations (25% saved)

Profiling

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