Details

Time bar (total: 2.9s)

analyze5.0ms (0.2%)

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)

sample120.0ms (4.2%)

Algorithm
1×intervals
Results
32.0ms117×body1024valid
10.0ms66×body512valid
5.0ms17×body2048valid
3.0ms38×body256valid
1.0ms18×body128valid
Compiler

Compiled 20 to 16 computations (20% saved)

simplify56.0ms (2%)

Algorithm
1×egg-herbie
Rules
618×fma-neg_binary64
579×fma-def_binary64
510×associate-/l*_binary64
467×div-sub_binary64
425×times-frac_binary64
Counts
1 → 2
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
0813
11913
23313
35713
411213
522413
651413
7130313
8304712
9446912
10485912

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
58.5b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶58.5b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
Compiler

Compiled 35 to 25 computations (28.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓7.2b
(-.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)))

rewrite6.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
11×*-un-lft-identity_binary64
11×add-sqr-sqrt_binary64
9×prod-diff_binary64
9×add-cube-cbrt_binary64
3×cancel-sign-sub-inv_binary64
Counts
1 → 31
Calls

1 calls:

4.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify76.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
608×fma-neg_binary64
326×unsub-neg_binary64
325×distribute-rgt-in_binary64
287×associate-/r*_binary64
265×associate-*l*_binary64
Counts
39 → 49
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
086629
1175535
2491470
31944470
43994468
54786468
64810468

prune25.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New47249
Fresh000
Picked101
Done000
Total48250
Error
0b
Counts
50 → 2
Alt Table
StatusErrorProgram
58.5b
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)
▶0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
Compiler

Compiled 990 to 381 computations (61.5% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(sinh.f64 x)

series9.0ms (0.3%)

Counts
1 → 12
Calls

1 calls:

9.0ms
(sinh.f64 x)

rewrite1.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
1×*-un-lft-identity_binary64
1×add-sqr-sqrt_binary64
1×add-cube-cbrt_binary64
1×add-cbrt-cube_binary64
1×add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

1.0ms
(sinh.f64 x)

simplify58.0ms (2%)

Algorithm
1×egg-herbie
Rules
738×div-sub_binary64
465×times-frac_binary64
453×associate-*l*_binary64
349×fma-def_binary64
331×associate-*r*_binary64
Counts
22 → 20
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037220
179213
2179205
3396205
4843205
52533205
64634205
75567205

prune11.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New20020
Fresh011
Picked011
Done000
Total20222
Error
0b
Counts
22 → 2
Alt Table
StatusErrorProgram
▶58.5b
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)
✓0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
Compiler

Compiled 290 to 214 computations (26.2% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (exp.f64 x) 2)
✓0.0b
(pow.f64 (exp.f64 x) 3)
✓0.0b
(pow.f64 (exp.f64 x) -3)
✓7.1b
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3))

series39.0ms (1.4%)

Counts
4 → 32
Calls

4 calls:

17.0ms
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3))
12.0ms
(pow.f64 (exp.f64 x) -3)
6.0ms
(pow.f64 (exp.f64 x) 3)
3.0ms
(pow.f64 (exp.f64 x) 2)

rewrite31.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
84×prod-diff_binary64
81×add-sqr-sqrt_binary64
79×unpow-prod-down_binary64
66×*-un-lft-identity_binary64
64×add-cube-cbrt_binary64
Counts
4 → 202
Calls

4 calls:

10.0ms
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3))
3.0ms
(pow.f64 (exp.f64 x) 2)
2.0ms
(pow.f64 (exp.f64 x) 3)
2.0ms
(pow.f64 (exp.f64 x) -3)

simplify214.0ms (7.5%)

Algorithm
1×egg-herbie
Rules
749×fma-def_binary64
745×fma-neg_binary64
423×unswap-sqr_binary64
386×exp-prod_binary64
327×log-prod_binary64
Counts
234 → 227
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02576963
14745223
213642870
334642866
441312860
548192860
649772860
747842860

prune161.0ms (5.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2270227
Fresh000
Picked011
Done011
Total2272229
Error
0b
Counts
229 → 2
Alt Table
StatusErrorProgram
✓58.5b
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)
✓0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
Compiler

Compiled 8707 to 5587 computations (35.8% saved)

regimes30.0ms (1.1%)

Accuracy

Total 0.0b remaining (11.4%)

Threshold costs 0.0b (11.4%)

Counts
10 → 1
Compiler

Compiled 480 to 383 computations (20.2% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
069
179
279

end0.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample2.0s (69.5%)

Algorithm
1×intervals
Results
1.2s4052×body1024valid
291.0ms1931×body512valid
117.0ms368×body2048valid
92.0ms1000×body256valid
30.0ms649×body128valid
0.0ms1×body128invalid
Compiler

Compiled 49 to 38 computations (22.4% saved)

Profiling

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