Details

Time bar (total: 2.7s)

analyze20.0ms (0.7%)

Algorithm
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%1.6%48.5%9
50.4%1.2%48.5%10
50.4%1.2%48.5%11
50.4%1.1%48.6%12
50.4%1%48.6%13
50.5%0.9%48.6%14
Compiler

Compiled 14 to 8 computations (42.9% saved)

sample55.0ms (2%)

Algorithm
intervals
Results
33.0ms125×body1024valid
7.0ms50×body512valid
4.0ms15×body2048valid
3.0ms38×body256valid
1.0ms28×body128valid
Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify167.0ms (6.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
0479722
1479722

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.1b

Counts
2 → 1
Compiler

Compiled 26 to 14 computations (46.2% saved)

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

1.7b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.7b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite24.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity_binary64_3488
30×add-sqr-sqrt_binary64_3510 times-frac_binary64_3494
16×add-cube-cbrt_binary64_3523
difference-of-squares_binary64_3457 distribute-lft-out_binary64_3439 distribute-lft-out--_binary64_3440 cosh-undef_binary64_3682 sinh-undef_binary64_3681
associate-/l*_binary64_3433
associate-/r*_binary64_3432
add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526 add-log-exp_binary64_3527
cancel-sign-sub-inv_binary64_3454
flip3--_binary64_3492 associate-/l/_binary64_3435 associate-/r/_binary64_3434 flip--_binary64_3463 pow1_binary64_3549
clear-num_binary64_3487 flip-+_binary64_3462 diff-log_binary64_3580 flip3-+_binary64_3491 frac-2neg_binary64_3499 tanh-undef_binary64_3683 div-exp_binary64_3539 cbrt-undiv_binary64_3522 div-sub_binary64_3493 div-inv_binary64_3485 sub-neg_binary64_3481
Counts
2 → 76
Calls

2 calls:

12.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series100.0ms (3.7%)

Counts
2 → 6
Calls

2 calls:

79.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
21.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify84.0ms (3.1%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049532143
149532143

prune64.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New80282
Fresh000
Picked011
Done000
Total80383

Merged error: 0.0b

Counts
83 → 3
Compiler

Compiled 1667 to 309 computations (81.5% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(tanh.f64 x)

rewrite1.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_3524 add-sqr-sqrt_binary64_3510 add-exp-log_binary64_3526 tanh-def-b_binary64_3676 tanh-def-a_binary64_3675 tanh-def-c_binary64_3677 add-cube-cbrt_binary64_3523 add-log-exp_binary64_3527 *-un-lft-identity_binary64_3488 pow1_binary64_3549
Counts
1 → 10
Calls

1 calls:

1.0ms
(tanh.f64 x)

series55.0ms (2%)

Counts
1 → 3
Calls

1 calls:

55.0ms
(tanh.f64 x)

simplify49.0ms (1.8%)

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05383124

prune8.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New13013
Fresh011
Picked011
Done011
Total13316

Merged error: 0.0b

Counts
16 → 3
Compiler

Compiled 100 to 56 computations (44% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(sinh.f64 x)
1.7b
(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite7.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64_3510 add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488
times-frac_binary64_3494
add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526
associate-/r*_binary64_3432 associate-/l*_binary64_3433
add-log-exp_binary64_3527 sinh-def_binary64_3673 pow1_binary64_3549
clear-num_binary64_3487 associate-/l/_binary64_3435 cosh-def_binary64_3674 associate-/r/_binary64_3434 frac-2neg_binary64_3499 div-exp_binary64_3539 cbrt-undiv_binary64_3522 div-inv_binary64_3485
Counts
2 → 37
Calls

2 calls:

4.0ms
(/.f64 (sinh.f64 x) (cosh.f64 x))
1.0ms
(sinh.f64 x)

series151.0ms (5.5%)

Counts
2 → 6
Calls

2 calls:

112.0ms
(/.f64 (sinh.f64 x) (cosh.f64 x))
38.0ms
(sinh.f64 x)

simplify70.0ms (2.6%)

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04886537
14886537

prune23.0ms (0.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New43043
Fresh000
Picked011
Done022
Total43346

Merged error: 0.0b

Counts
46 → 3
Compiler

Compiled 446 to 140 computations (68.6% saved)

regimes26.0ms (0.9%)

Compiler

Compiled 140 to 98 computations (30% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
033
133

end0.0ms (0%)

sample1.8s (66.1%)

Algorithm
intervals
Results
1.1s3978×body1024valid
270.0ms1931×body512valid
112.0ms391×body2048valid
85.0ms979×body256valid
31.0ms721×body128valid
0.0msbody128overflowed
Compiler

Compiled 72 to 52 computations (27.8% saved)

Profiling

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