Details

Time bar (total: 3.4s)

analyze5.0ms (0.1%)

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
50.4%0.4%49.2%10
50.4%0.2%49.4%11
50.4%0.1%49.5%12
50.4%0%49.6%13
50.4%0%49.6%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample2.9s (85.7%)

Results
1.8s4097×body1024valid
535.0ms2041×body512valid
223.0ms419×body2048valid
196.0ms1043×body256valid
67.0ms656×body128valid
0.0ms1×body128invalid
Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify28.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
618×fma-neg_binary64
508×associate-/l*_binary64
414×associate-/r/_binary64
307×associate-/l/_binary64
215×fma-def_binary64
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
0813
11913
23413
35813
412013
526113
671413
7210013
8493912
Stop Event
1×node limit
Counts
1 → 2

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
58.8b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶58.8b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
Compiler

Compiled 35 to 25 computations (28.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓6.5b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series2.0ms (0.1%)

Counts
1 → 8
Calls

1 calls:

2.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite31.0ms (0.9%)

Algorithm
1×egg-rewrite
1×batch-egg-rewrite
Rules
68×add-sqr-sqrt_binary64
65×log1p-expm1-u_binary64
65×expm1-log1p-u_binary64
64×add-cbrt-cube_binary64
64×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
11306
221316
066
Stop Event
1×iter limit
1×unsound
Counts
1 → 13
Calls

1 calls:

31.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify33.0ms (1%)

Algorithm
1×egg-herbie
Rules
704×fma-def_binary64
676×unswap-sqr_binary64
319×associate-*l*_binary64
247×*-commutative_binary64
207×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02598
16498
214898
338298
473598
5161798
6251398
7409998
Stop Event
1×node limit
Counts
21 → 22

prune19.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New20222
Fresh000
Picked101
Done000
Total21223
Error
0b
Counts
23 → 2
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
0.5b
(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3))))) 2)
Compiler

Compiled 342 to 236 computations (31% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(sinh.f64 x)

series7.0ms (0.2%)

Counts
1 → 12
Calls

1 calls:

7.0ms
(sinh.f64 x)

rewrite36.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
296×log1p-expm1-u_binary64
296×expm1-log1p-u_binary64
274×add-cbrt-cube_binary64
270×add-log-exp_binary64
268×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
1633
27913
Stop Event
1×node limit
Counts
1 → 39
Calls

1 calls:

35.0ms
(sinh.f64 x)

simplify42.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
890×fma-def_binary64
624×unswap-sqr_binary64
306×associate-*l*_binary64
234×*-commutative_binary64
217×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024150
164150
2149142
3369142
4696142
51505142
62338142
73592142
84582142
Stop Event
1×node limit
Counts
51 → 48

prune26.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New47148
Fresh101
Picked011
Done000
Total48250
Error
0b
Counts
50 → 2
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
▶0.5b
(/.f64 (*.f64 2 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))) 2)
Compiler

Compiled 622 to 453 computations (27.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 1/120 (pow.f64 x 5) x)
✓0.0b
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))

series7.0ms (0.2%)

Counts
2 → 24
Calls

2 calls:

3.0ms
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
3.0ms
(fma.f64 1/120 (pow.f64 x 5) x)

rewrite46.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
835×log1p-expm1-u_binary64
835×expm1-log1p-u_binary64
103×prod-diff_binary64
100×add-sqr-sqrt_binary64
95×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
121423
2228423
Stop Event
1×node limit
Counts
2 → 47
Calls

2 calls:

45.0ms
(fma.f64 1/120 (pow.f64 x 5) x)
45.0ms
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))

simplify62.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
828×sqr-pow_binary64
416×unswap-sqr_binary64
388×pow-sqr_binary64
334×cube-prod_binary64
246×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014228
137228
272228
3161228
4300228
5745228
61136228
71782228
81890228
92052228
102267228
112597228
123053228
133650228
144399228
Stop Event
1×node limit
Counts
71 → 56

prune40.0ms (1.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh000
Picked011
Done011
Total56258
Error
0b
Counts
58 → 2
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
✓0.5b
(/.f64 (*.f64 2 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))) 2)
Compiler

Compiled 1120 to 919 computations (17.9% saved)

regimes37.0ms (1.1%)

Accuracy

Total 0.0b remaining (51%)

Threshold costs 0.0b (51%)

Counts
11 → 1
Compiler

Compiled 510 to 413 computations (19% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
069
179
Stop Event
1×saturated

end45.0ms (1.3%)

Compiler

Compiled 37 to 31 computations (16.2% saved)

Profiling

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