Details

Time bar (total: 2.8s)

analyze4.0ms (0.1%)

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

sample63.0ms (2.3%)

Algorithm
1×intervals
Results
38.0ms120×body1280valid
14.0ms77×body640valid
3.0ms28×body320valid
2.0ms23×body160valid
0.0ms8×body80valid

simplify58.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
050328

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 57.5b

Counts
2 → 1

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

5.4b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite6.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
3×*-un-lft-identity_binary64 add-log-exp_binary64 add-sqr-sqrt_binary64
1×sub-neg_binary64 pow1_binary64 flip3--_binary64 diff-log_binary64 sinh-undef_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip--_binary64
Counts
1 → 14
Calls

1 calls:

5.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series5.0ms (0.2%)

Counts
1 → 3
Calls

1 calls:

5.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify81.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
04847155
14847155

prune28.0ms (1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New14317
Fresh000
Picked101
Done000
Total15318

Merged error: 0b

Counts
18 → 3

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(sinh.f64 x)

rewrite2.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
1×*-un-lft-identity_binary64 add-log-exp_binary64 pow1_binary64 sinh-def_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64
Counts
1 → 8
Calls

1 calls:

1.0ms
(sinh.f64 x)

series11.0ms (0.4%)

Counts
1 → 3
Calls

1 calls:

11.0ms
(sinh.f64 x)

simplify44.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
11 → 11
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
0534361

prune16.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New10111
Fresh112
Picked011
Done000
Total11314

Merged error: 0b

Counts
14 → 3

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x)))
0.0b
(+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))
0.0b
(*.f64 1/60 (pow.f64 x 5))
0.1b
(*.f64 1/3 (pow.f64 x 3))

rewrite35.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
23×add-sqr-sqrt_binary64
19×associate-*r*_binary64
18×add-log-exp_binary64
14×add-exp-log_binary64
11×*-un-lft-identity_binary64 add-cube-cbrt_binary64
9×sum-log_binary64
8×add-cbrt-cube_binary64 unpow-prod-down_binary64
7×unswap-sqr_binary64
6×associate-*l*_binary64 prod-exp_binary64
4×pow1_binary64 sqr-pow_binary64 cube-prod_binary64
2×pow-to-exp_binary64 flip3-+_binary64 cbrt-unprod_binary64 +-commutative_binary64 flip-+_binary64 associate-+r+_binary64 pow-exp_binary64 *-commutative_binary64
1×unpow3_binary64 cube-mult_binary64
Counts
4 → 83
Calls

4 calls:

12.0ms
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x)))
9.0ms
(+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))
6.0ms
(*.f64 1/3 (pow.f64 x 3))
5.0ms
(*.f64 1/60 (pow.f64 x 5))

series39.0ms (1.4%)

Counts
4 → 12
Calls

4 calls:

18.0ms
(+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))
8.0ms
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x)))
7.0ms
(*.f64 1/60 (pow.f64 x 5))
6.0ms
(*.f64 1/3 (pow.f64 x 3))

simplify42.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05253905

prune128.0ms (4.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New95095
Fresh011
Picked011
Done011
Total95398

Merged error: 0b

Counts
98 → 3

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x)))
0.7b
(cbrt.f64 (sinh.f64 x))
0.7b
(cbrt.f64 (sinh.f64 x))
0.7b
(cbrt.f64 (sinh.f64 x))

rewrite13.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×pow1_binary64
9×pow1/3_binary64
7×cbrt-div_binary64 sinh-def_binary64
6×swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
1×cbrt-unprod_binary64 associate-*r/_binary64 pow-plus_binary64 prod-exp_binary64 frac-times_binary64 pow2_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 79
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x)))
2.0ms
(cbrt.f64 (sinh.f64 x))
2.0ms
(cbrt.f64 (sinh.f64 x))
2.0ms
(cbrt.f64 (sinh.f64 x))

series135.0ms (4.9%)

Counts
4 → 12
Calls

4 calls:

42.0ms
(*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x)))
32.0ms
(cbrt.f64 (sinh.f64 x))
30.0ms
(cbrt.f64 (sinh.f64 x))
30.0ms
(cbrt.f64 (sinh.f64 x))

simplify70.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04807621
14807621

prune88.0ms (3.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New91091
Fresh000
Picked011
Done022
Total91394

Merged error: 0b

Counts
94 → 3

regimes27.0ms (1%)

Accuracy

Total 0.0b remaining (73.4%)

Threshold costs 0.0b (73.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
076
176

end0.0ms (0%)

sample1.8s (66.4%)

Algorithm
1×intervals
Results
1.1s3420×body1280valid
458.0ms2397×body640valid
156.0ms1257×body320valid
47.0ms627×body160valid
11.0ms299×body80valid
0.0ms3×body80invalid

Profiling

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