Details

Time bar (total: 2.7s)

analyze14.0ms (0.5%)

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)

sample53.0ms (2%)

Algorithm
intervals
Results
29.0ms110×body1024valid
9.0ms71×body512valid
4.0ms14×body2048valid
3.0ms36×body256valid
1.0ms25×body128valid
Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify166.0ms (6.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
0479722
1479722

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.6b

Counts
2 → 1
Compiler

Compiled 26 to 14 computations (46.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.7b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.4b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite28.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity_binary64_3488
31×add-sqr-sqrt_binary64_3510
30×times-frac_binary64_3494
17×add-cube-cbrt_binary64_3523
distribute-lft-out_binary64_3439 cosh-undef_binary64_3682
difference-of-squares_binary64_3457 distribute-lft-out--_binary64_3440 add-log-exp_binary64_3527 sinh-undef_binary64_3681
associate-/l*_binary64_3433
associate-/r*_binary64_3432 add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526
cancel-sign-sub-inv_binary64_3454 pow1_binary64_3549
flip3--_binary64_3492 associate-/l/_binary64_3435 flip-+_binary64_3462 flip3-+_binary64_3491 associate-/r/_binary64_3434 flip--_binary64_3463
clear-num_binary64_3487 diff-log_binary64_3580 +-commutative_binary64_3418 frac-2neg_binary64_3499 tanh-undef_binary64_3683 div-exp_binary64_3539 sum-log_binary64_3579 cbrt-undiv_binary64_3522 div-sub_binary64_3493 div-inv_binary64_3485 sub-neg_binary64_3481
Counts
3 → 89
Calls

3 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)))
4.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series109.0ms (4.1%)

Counts
3 → 9
Calls

3 calls:

73.0ms
(/.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)))
14.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify79.0ms (3%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049532364
149532364

prune73.0ms (2.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New96298
Fresh000
Picked101
Done000
Total97299

Merged error: 0b

Counts
99 → 2
Compiler

Compiled 1950 to 346 computations (82.3% 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)

series49.0ms (1.8%)

Counts
1 → 3
Calls

1 calls:

49.0ms
(tanh.f64 x)

simplify47.0ms (1.7%)

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05383124

prune10.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13013
Fresh011
Picked011
Done000
Total13215

Merged error: 0b

Counts
15 → 2
Compiler

Compiled 106 to 61 computations (42.5% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(sinh.f64 x)
0.0b
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.7b
(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite17.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity_binary64_3488
add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526
associate-/r*_binary64_3432 add-sqr-sqrt_binary64_3510 times-frac_binary64_3494 add-cube-cbrt_binary64_3523 add-log-exp_binary64_3527
distribute-lft-out_binary64_3439 cosh-undef_binary64_3682 pow1_binary64_3549
flip-+_binary64_3462 flip3-+_binary64_3491 associate-/r/_binary64_3434 sinh-def_binary64_3673 div-exp_binary64_3539 cbrt-undiv_binary64_3522
clear-num_binary64_3487 associate-/l/_binary64_3435 associate-/l*_binary64_3433 cbrt-unprod_binary64_3521 +-commutative_binary64_3418 associate-*r/_binary64_3430 frac-2neg_binary64_3499 sum-log_binary64_3579 div-inv_binary64_3485 prod-exp_binary64_3537
Counts
3 → 49
Calls

3 calls:

9.0ms
(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.0ms
(sinh.f64 x)

series153.0ms (5.7%)

Counts
3 → 9
Calls

3 calls:

101.0ms
(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
37.0ms
(sinh.f64 x)
15.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify48.0ms (1.8%)

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04996734
14996734

prune37.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh000
Picked011
Done011
Total58260

Merged error: 0b

Counts
60 → 2
Compiler

Compiled 802 to 288 computations (64.1% saved)

regimes25.0ms (0.9%)

Compiler

Compiled 120 to 86 computations (28.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
033
133

end0.0ms (0%)

sample1.7s (65.2%)

Algorithm
intervals
Results
1.0s3858×body1024valid
271.0ms1986×body512valid
106.0ms378×body2048valid
82.0ms999×body256valid
36.0ms779×body128valid
0.0msbody128overflowed
Compiler

Compiled 62 to 46 computations (25.8% saved)

Profiling

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