Details

analyze587.0ms (15%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
3.1%	90.5%	6.3%	6
4.7%	85.9%	9.5%	7
21.1%	64%	14.9%	8
23.4%	58.9%	17.7%	9
27.7%	51.3%	21%	10
28.9%	48.5%	22.6%	11
31.1%	44.4%	24.5%	12
31.7%	42.9%	25.4%	13
32.7%	41%	26.3%	14

sample66.0ms (1.7%)

Algorithm

1×

intervals

Results

25.0ms	52×	body	1280	valid
10.0ms	33×	body	640	valid
8.0ms	147×	body	80	valid
4.0ms	18×	body	320	valid
2.0ms	5×	body	1280	invalid
2.0ms	8×	body	320	invalid
1.0ms	5×	body	640	invalid
1.0ms	6×	body	160	valid
0.0ms	4×	body	160	invalid
0.0ms	10×	body	80	nan
0.0ms	3×	body	80	invalid

simplify42.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4985	9
1	4985	9

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 11.0b

Counts

2 → 1

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
0.0b	(/.f64 x (+.f64 x y))
5.1b	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite35.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64`
118×	`*-un-lft-identity_binary64`
90×	`unpow-prod-down_binary64`
80×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
25×	`associate-/l*_binary64`
19×	`distribute-lft-out_binary64`
16×	`add-exp-log_binary64`
12×	`associate-/r/_binary64`
7×	`associate-/r*_binary64` `add-cbrt-cube_binary64` `div-inv_binary64` `div-exp_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
5×	`sqr-pow_binary64`
4×	`pow1_binary64` `pow-exp_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`pow-to-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-pow_binary64`

Counts

3 → 172

Calls

3 calls:

12.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
7.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
6.0ms	(/.f64 x (+.f64 x y))

series92.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

47.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
38.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
7.0ms	(/.f64 x (+.f64 x y))

simplify60.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4951	2646
1	4951	2646

prune199.0ms (5.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	177	4	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	178	4	182

Merged error: 0.5b

Counts

182 → 4

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.7b	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-exp-log_binary64`
13×	`unpow-prod-down_binary64`
12×	`cbrt-div_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
8×	`associate-/r/_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
5×	`pow1_binary64` `pow-exp_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64` `div-exp_binary64` `frac-times_binary64`
3×	`pow-unpow_binary64` `pow1/3_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`pow-to-exp_binary64` `pow-pow_binary64` `sqr-pow_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

4 → 64

Calls

4 calls:

19.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)
2.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series131.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

68.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)
22.0ms	(cbrt.f64 x)
21.0ms	(cbrt.f64 x)
19.0ms	(cbrt.f64 x)

simplify36.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5160	881

prune94.0ms (2.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	77	3	80

Merged error: 0.0b

Counts

80 → 3

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
3.8b	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`cbrt-prod_binary64`
48×	`*-un-lft-identity_binary64` `log-prod_binary64`
42×	`times-frac_binary64`
34×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
7×	`distribute-lft-out_binary64` `add-exp-log_binary64`
5×	`pow1_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow1/3_binary64`
2×	`flip3-+_binary64` `rem-log-exp_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`log-pow_binary64` `div-inv_binary64` `div-exp_binary64` `log-div_binary64`

Counts

4 → 95

Calls

4 calls:

8.0ms	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))))
3.0ms	(cbrt.f64 (+.f64 x y))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series97.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt.f64 (+.f64 x y))
24.0ms	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))))
19.0ms	(cbrt.f64 x)
19.0ms	(cbrt.f64 x)

simplify52.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5092	1207

prune130.0ms (3.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	107	3	110

Merged error: 0.0b

Counts

110 → 3

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (exp.f64 (neg.f64 y)) x)

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
3×	`associate-/r_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `add-exp-log_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `neg-sub0_binary64` `cbrt-undiv_binary64` `exp-diff_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `exp-neg_binary64`

Counts

1 → 29

Calls

1 calls:

6.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

series7.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4919	265
1	4919	265

prune34.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	30	5	35

Merged error: 0b

Counts

35 → 5

regimes113.0ms (2.9%)

Accuracy

Total 0.1b remaining (88.4%)

Threshold costs 0.1b (88.4%)

bsearch71.0ms (1.8%)

Steps

Iters	Range		Point
10	8.537120949482327e-07	104721.38425127674	656.9668403360257
8	-2.0737225781697043e+49	-6.13652674095655e+44	-4.230496892314292e+47

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	39
1	37	39

end0.0ms (0%)

sample1.9s (48.7%)

Algorithm

1×

intervals

Results

708.0ms	1408×	body	1280	valid
364.0ms	1182×	body	640	valid
251.0ms	4413×	body	80	valid
133.0ms	638×	body	320	valid
69.0ms	239×	body	640	invalid
56.0ms	121×	body	1280	invalid
46.0ms	359×	body	160	valid
38.0ms	180×	body	320	invalid
14.0ms	115×	body	160	invalid
8.0ms	147×	body	80	invalid
8.0ms	191×	body	80	nan

Details

analyze587.0ms (15%)

sample66.0ms (1.7%)

simplify42.0ms (1.1%)

prune6.0ms (0.2%)

localize6.0ms (0.2%)

rewrite35.0ms (0.9%)

series92.0ms (2.3%)

simplify60.0ms (1.5%)

prune199.0ms (5.1%)

localize17.0ms (0.4%)

rewrite26.0ms (0.7%)

series131.0ms (3.3%)

simplify36.0ms (0.9%)

prune94.0ms (2.4%)

localize15.0ms (0.4%)

rewrite18.0ms (0.5%)

series97.0ms (2.5%)

simplify52.0ms (1.3%)

prune130.0ms (3.3%)

localize4.0ms (0.1%)

rewrite7.0ms (0.2%)

series7.0ms (0.2%)

simplify62.0ms (1.6%)

prune34.0ms (0.9%)

regimes113.0ms (2.9%)

bsearch71.0ms (1.8%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.9s (48.7%)

Profiling