Details

Time bar (total: 1.4s)

analyze1.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
100%0%0%2
Compiler

Compiled 10 to 8 computations (20% saved)

sample102.0ms (7.1%)

Algorithm
intervals
Results
9.0ms256×body128valid
Compiler

Compiled 20 to 16 computations (20% saved)

simplify78.0ms (5.5%)

Algorithm
egg-herbie
Rules
638×fma-def_binary64
434×unswap-sqr_binary64
366×fma-neg_binary64
277×*-commutative_binary64
262×exp-prod_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11513
22013
32713
44613
57813
614613
727413
867013
9189613
10269213
11353513
12471313
13486513
14479413

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 27 to 21 computations (22.2% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series15.0ms (1.1%)

Counts
2 → 16
Calls

2 calls:

13.0ms
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite11.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity_binary64
15×times-frac_binary64
13×add-sqr-sqrt_binary64
13×add-cube-cbrt_binary64
associate-/r*_binary64
Counts
2 → 57
Calls

2 calls:

5.0ms
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify80.0ms (5.6%)

Algorithm
egg-herbie
Rules
713×fma-neg_binary64
684×fma-def_binary64
548×associate-*l*_binary64
292×times-frac_binary64
257×distribute-rgt-in_binary64
Counts
73 → 105
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01151210
12481114
25491101
312411099
442051099
549801099

prune62.0ms (4.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1032105
Fresh000
Picked011
Done000
Total1033106
Error
0b
Counts
106 → 3
Alt Table
StatusErrorProgram
0.5b
(*.f64 (/.f64 (sqrt.f64 2) 2) (/.f64 (sqrt.f64 2) (cosh.f64 x)))
32.5b
(fma.f64 x (*.f64 x -1/2) 1)
0.0b
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 1617 to 677 computations (58.1% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (sqrt.f64 2) (cosh.f64 x))
0.5b
(*.f64 (/.f64 (sqrt.f64 2) 2) (/.f64 (sqrt.f64 2) (cosh.f64 x)))

series59.0ms (4.1%)

Counts
2 → 24
Calls

2 calls:

35.0ms
(*.f64 (/.f64 (sqrt.f64 2) 2) (/.f64 (sqrt.f64 2) (cosh.f64 x)))
24.0ms
(/.f64 (sqrt.f64 2) (cosh.f64 x))

rewrite27.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
73×add-sqr-sqrt_binary64
66×times-frac_binary64
43×*-un-lft-identity_binary64
43×add-cube-cbrt_binary64
36×sqrt-prod_binary64
Counts
2 → 118
Calls

2 calls:

15.0ms
(*.f64 (/.f64 (sqrt.f64 2) 2) (/.f64 (sqrt.f64 2) (cosh.f64 x)))
3.0ms
(/.f64 (sqrt.f64 2) (cosh.f64 x))

simplify93.0ms (6.5%)

Algorithm
egg-herbie
Rules
640×associate-/l*_binary64
573×fma-def_binary64
363×*-commutative_binary64
356×associate-/l/_binary64
267×fma-neg_binary64
Counts
142 → 177
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01892599
14782383
214232028
338621982
449221982

prune129.0ms (9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1761177
Fresh101
Picked011
Done011
Total1773180
Error
0b
Counts
180 → 3
Alt Table
StatusErrorProgram
0.5b
(*.f64 (/.f64 (sqrt.f64 2) 2) (/.f64 (sqrt.f64 2) (cosh.f64 x)))
0.0b
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
0.0b
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 3174 to 2511 computations (20.9% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (cosh.f64 x))
0.0b
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))

series47.0ms (3.3%)

Counts
2 → 24
Calls

2 calls:

26.0ms
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
21.0ms
(/.f64 1 (cosh.f64 x))

rewrite9.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity_binary64
18×times-frac_binary64
18×add-sqr-sqrt_binary64
18×add-cube-cbrt_binary64
15×log-pow_binary64
Counts
2 → 63
Calls

2 calls:

4.0ms
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
2.0ms
(/.f64 1 (cosh.f64 x))

simplify79.0ms (5.5%)

Algorithm
egg-herbie
Rules
618×times-frac_binary64
403×distribute-rgt-neg-in_binary64
349×distribute-lft-neg-in_binary64
296×unswap-sqr_binary64
276×associate-*l*_binary64
Counts
87 → 86
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0891001
1135953
2254791
3628787
41937787
54608763
65361763

prune58.0ms (4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New86086
Fresh000
Picked011
Done022
Total86389
Error
0b
Counts
89 → 3
Alt Table
StatusErrorProgram
0.5b
(*.f64 (/.f64 (sqrt.f64 2) 2) (/.f64 (sqrt.f64 2) (cosh.f64 x)))
0.0b
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
0.0b
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 1047 to 691 computations (34% saved)

regimes53.0ms (3.7%)

Accuracy

Total 0.0b remaining (41.6%)

Threshold costs 0.0b (41.6%)

Counts
23 → 1
Compiler

Compiled 578 to 484 computations (16.3% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
1910
2810

end0.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample511.0ms (35.6%)

Algorithm
intervals
Results
300.0ms8000×body128valid
Compiler

Compiled 45 to 38 computations (15.6% saved)

Profiling

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