Details

Time bar (total: 2.1s)

analyze2.0ms (0.1%)

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

Compiled 9 to 8 computations (11.1% saved)

sample12.0ms (0.6%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify298.0ms (14.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (139.0ms)

IterNodesCost
0493613
1493613

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
22×*-un-lft-identity_binary64_414
15×times-frac_binary64_420
12×add-cube-cbrt_binary64_446 add-sqr-sqrt_binary64_435
5×cosh-undef_binary64_605 distribute-lft-out_binary64_367 associate-/r*_binary64_360
4×add-exp-log_binary64_449 add-cbrt-cube_binary64_447 add-log-exp_binary64_450
3×associate-/l*_binary64_361
2×associate-/r/_binary64_362 pow1_binary64_472 flip3-+_binary64_417 flip-+_binary64_388
1×clear-num_binary64_413 div-inv_binary64_411 +-commutative_binary64_346 cbrt-undiv_binary64_445 frac-2neg_binary64_425 sum-log_binary64_502 div-exp_binary64_462
Counts
2 → 50
Calls

2 calls:

7.0ms
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series113.0ms (5.5%)

Counts
2 → 6
Calls

2 calls:

85.0ms
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
28.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify93.0ms (4.6%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
04884954
14884954

prune43.0ms (2.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New54256
Fresh000
Picked101
Done000
Total55257

Merged error: 0b

Counts
57 → 2
Compiler

Compiled 781 to 328 computations (58% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 1 (cosh.f64 x))

rewrite5.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
9×times-frac_binary64_420 add-cube-cbrt_binary64_446 *-un-lft-identity_binary64_414 add-sqr-sqrt_binary64_435
5×add-exp-log_binary64_449
3×add-cbrt-cube_binary64_447 associate-/l*_binary64_361 associate-/r*_binary64_360
2×pow1_binary64_472 div-exp_binary64_462
1×1-exp_binary64_455 associate-/r/_binary64_362 clear-num_binary64_413 inv-pow_binary64_496 pow-flip_binary64_485 div-inv_binary64_411 cbrt-undiv_binary64_445 rec-exp_binary64_461 add-log-exp_binary64_450 frac-2neg_binary64_425 cosh-def_binary64_597
Counts
1 → 32
Calls

1 calls:

3.0ms
(/.f64 1 (cosh.f64 x))

series111.0ms (5.4%)

Counts
1 → 3
Calls

1 calls:

111.0ms
(/.f64 1 (cosh.f64 x))

simplify70.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04774355
14774355

prune20.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New34135
Fresh101
Picked011
Done000
Total35237

Merged error: 0b

Counts
37 → 2
Compiler

Compiled 298 to 166 computations (44.3% saved)

localize5.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (cosh.f64 x))
0.0b
(sqrt.f64 (cosh.f64 x))
0.0b
(/.f64 1 (sqrt.f64 (cosh.f64 x)))
0.0b
(/.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))

rewrite54.0ms (2.6%)

Algorithm
1×rewrite-expression-head
Rules
282×times-frac_binary64_420
162×add-sqr-sqrt_binary64_435
160×add-cube-cbrt_binary64_446 *-un-lft-identity_binary64_414
153×sqrt-prod_binary64_429
26×associate-/l*_binary64_361
17×add-exp-log_binary64_449
15×pow1_binary64_472
12×associate-/r*_binary64_360
11×sqrt-div_binary64_430 add-cbrt-cube_binary64_447 cosh-def_binary64_597
9×associate-/r/_binary64_362 div-inv_binary64_411
8×pow-flip_binary64_485 div-exp_binary64_462
7×sqrt-pow1_binary64_431 pow1/2_binary64_491
6×pow-div_binary64_486
4×cbrt-undiv_binary64_445 add-log-exp_binary64_450
2×1-exp_binary64_455 clear-num_binary64_413 inv-pow_binary64_496 rec-exp_binary64_461 frac-2neg_binary64_425 rem-sqrt-square_binary64_427
1×associate-/l/_binary64_363
Counts
4 → 265
Calls

4 calls:

13.0ms
(/.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))
5.0ms
(/.f64 1 (sqrt.f64 (cosh.f64 x)))
1.0ms
(sqrt.f64 (cosh.f64 x))
1.0ms
(sqrt.f64 (cosh.f64 x))

series452.0ms (22.1%)

Counts
4 → 12
Calls

4 calls:

159.0ms
(/.f64 1 (sqrt.f64 (cosh.f64 x)))
119.0ms
(/.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))
90.0ms
(sqrt.f64 (cosh.f64 x))
85.0ms
(sqrt.f64 (cosh.f64 x))

simplify113.0ms (5.5%)

Algorithm
1×egg-herbie
Counts
277 → 277
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
050065490

prune223.0ms (10.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2770277
Fresh000
Picked011
Done011
Total2772279

Merged error: 0b

Counts
279 → 2
Compiler

Compiled 4290 to 1934 computations (54.9% saved)

regimes8.0ms (0.4%)

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
166

end0.0ms (0%)

sample398.0ms (19.4%)

Algorithm
1×intervals
Results
241.0ms8000×body128valid
Compiler

Compiled 26 to 23 computations (11.5% saved)

Profiling

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