Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

sample12.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

valid

simplify74.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4772	8
1	4772	8

prune4.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite18.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
15×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`associate-/r*_binary64` `distribute-lft-out_binary64` `cosh-undef_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/l*_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 50

Calls

2 calls:

11.0ms	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series15.0ms (1%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify81.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5322	597

prune61.0ms (4.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	2	57

Merged error: 0b

Counts

57 → 2

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(*.f64 (sqrt.f64 (/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 (/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
0.0b	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite62.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Rules

128×	`*-un-lft-identity_binary64`
110×	`sqrt-prod_binary64`
108×	`times-frac_binary64`
96×	`add-sqr-sqrt_binary64`
68×	`add-cube-cbrt_binary64`
32×	`swap-sqr_binary64`
27×	`distribute-lft-out_binary64`
24×	`associate-r_binary64` `associate-l_binary64`
21×	`cosh-undef_binary64`
19×	`pow1_binary64`
12×	`associate-/r/_binary64`
10×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`unswap-sqr_binary64`
8×	`pow1/2_binary64` `sqrt-pow1_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64` `div-inv_binary64`
5×	`pow-prod-up_binary64`
4×	`sqrt-div_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `associate-r/_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 204

Calls

4 calls:

32.0ms	(*.f64 (sqrt.f64 (/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 (/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
7.0ms	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.0ms	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series41.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(*.f64 (sqrt.f64 (/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 (/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
11.0ms	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
10.0ms	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify69.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4916	2762
1	4916	2762

prune235.0ms (15.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	216	0	216
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	216	2	218

Merged error: 0b

Counts

218 → 2

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.5b	(/.f64 2.0 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
0.5b	(/.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
0.5b	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 2.0 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))

rewrite65.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Rules

118×	`times-frac_binary64`
116×	`add-sqr-sqrt_binary64`
105×	`*-un-lft-identity_binary64`
86×	`sqrt-prod_binary64`
69×	`add-cube-cbrt_binary64`
32×	`add-exp-log_binary64`
30×	`associate-r_binary64` `associate-l_binary64`
20×	`add-cbrt-cube_binary64`
16×	`associate-/r*_binary64`
15×	`distribute-lft-out_binary64` `cosh-undef_binary64` `unswap-sqr_binary64`
11×	`div-exp_binary64`
10×	`sqrt-div_binary64`
9×	`pow1_binary64`
8×	`associate-/r/_binary64` `prod-exp_binary64`
6×	`cbrt-undiv_binary64` `associate-/l*_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `div-inv_binary64`
3×	`1-exp_binary64` `rec-exp_binary64` `pow-flip_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `rem-sqrt-square_binary64` `inv-pow_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 220

Calls

4 calls:

32.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 2.0 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
11.0ms	(/.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
8.0ms	(/.f64 2.0 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
5.0ms	(sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series47.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(/.f64 2.0 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
13.0ms	(/.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
11.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 2.0 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
7.0ms	(sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

simplify70.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4930	3203
1	4930	3203

prune229.0ms (15.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	232	2	234

Merged error: 0b

Counts

234 → 2

regimes65.0ms (4.3%)

Accuracy

Total 0.0b remaining (28.4%)

Threshold costs 0.0b (28.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	19
1	17	19

end0.0ms (0%)

sample322.0ms (21.5%)

Algorithm

1×

intervals

Results

232.0ms

8000×

body

valid

Details

analyze1.0ms (0.1%)

sample12.0ms (0.8%)

simplify74.0ms (4.9%)

prune4.0ms (0.3%)

localize6.0ms (0.4%)

rewrite18.0ms (1.2%)

series15.0ms (1%)

simplify81.0ms (5.4%)

prune61.0ms (4.1%)

localize8.0ms (0.5%)

rewrite62.0ms (4.1%)

series41.0ms (2.8%)

simplify69.0ms (4.6%)

prune235.0ms (15.7%)

localize9.0ms (0.6%)

rewrite65.0ms (4.4%)

series47.0ms (3.1%)

simplify70.0ms (4.7%)

prune229.0ms (15.3%)

regimes65.0ms (4.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample322.0ms (21.5%)

Profiling