Details

Time bar (total: 2.2s)

analyze2.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%25.7%74.3%0
25.7%0%74.3%1
Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.9s (83.2%)

Results
759.0ms5397×body128valid
451.0ms1023×body1024valid
388.0ms1119×body512valid
156.0ms697×body256valid
10.0ms20×body2048valid
Compiler

Compiled 63 to 46 computations (27% saved)

simplify85.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
512×cancel-sign-sub-inv_binary64
510×fma-neg_binary64
429×fma-def_binary64
372×unswap-sqr_binary64
314×sub-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0813
11913
24513
314313
44758
517788
642448
746808
849528
948028

prune3.0ms (0.1%)

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
(*.f64 eps (fma.f64 2 x eps))
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 eps (fma.f64 2 x eps))

series6.0ms (0.3%)

Counts
1 → 24
Calls

1 calls:

6.0ms
(*.f64 eps (fma.f64 2 x eps))

rewrite4.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
5×add-sqr-sqrt_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
3×*-un-lft-identity_binary64
3×add-cube-cbrt_binary64
Counts
1 → 22
Calls

1 calls:

3.0ms
(*.f64 eps (fma.f64 2 x eps))

simplify81.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
613×distribute-rgt-in_binary64
610×distribute-lft-in_binary64
426×fma-def_binary64
354×*-commutative_binary64
330×associate-/l/_binary64
Counts
46 → 32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042507
184413
2239413
3617413
42304413
52439413
63040413
74552413
84968413

prune18.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New31132
Fresh000
Picked011
Done000
Total31233
Error
0b
Counts
33 → 2
Alt Table
StatusErrorProgram
▶0.0b
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
✓0.0b
(*.f64 eps (fma.f64 2 x eps))
Compiler

Compiled 368 to 205 computations (44.3% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
✓0.0b
(*.f64 2 (*.f64 eps x))

series11.0ms (0.5%)

Counts
2 → 6
Calls

2 calls:

6.0ms
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
4.0ms
(*.f64 2 (*.f64 eps x))

rewrite11.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
7×add-cbrt-cube_binary64
7×add-exp-log_binary64
7×pow1_binary64
4×add-log-exp_binary64
3×associate-*l*_binary64
Counts
2 → 34
Calls

2 calls:

6.0ms
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
4.0ms
(*.f64 2 (*.f64 eps x))

simplify55.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
755×fma-neg_binary64
514×associate-*l*_binary64
373×associate-*r*_binary64
301×distribute-rgt-out_binary64
274×distribute-rgt-in_binary64
Counts
40 → 46
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
063461
1164431
2506410
31775410
44269408
54971408

prune25.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New46046
Fresh000
Picked011
Done011
Total46248
Error
0b
Counts
48 → 2
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
✓0.0b
(*.f64 eps (fma.f64 2 x eps))
Compiler

Compiled 705 to 445 computations (36.9% saved)

regimes25.0ms (1.1%)

Accuracy

Total 0.0b remaining (71.1%)

Threshold costs 0.0b (71.1%)

Counts
7 → 1
Compiler

Compiled 205 to 144 computations (29.8% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
068
178
278

end38.0ms (1.7%)

Compiler

Compiled 35 to 23 computations (34.3% saved)

Profiling

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