Details

analyze627.0ms

Algorithm

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

sample63.0ms

Algorithm

intervals

Results

22.0ms	43×	body	1280	valid
12.0ms	41×	body	640	valid
8.0ms	143×	body	80	valid
3.0ms	15×	body	320	valid
2.0ms	11×	body	320	invalid
2.0ms	7×	body	640	invalid
2.0ms	14×	body	160	valid
1.0ms	4×	body	160	invalid
0.0ms	1×	body	1280	invalid
0.0ms	9×	body	80	nan
0.0ms	3×	body	80	invalid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4985	9
1	4985	9

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 10.4b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.0b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
5.0b	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite33.0ms

Algorithm

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:

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

series80.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/.f64 x (+.f64 x y))
37.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
36.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)

simplify58.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4951	2646
1	4951	2646

prune82.0ms

Filtered

131 candidates to 181 candidates (-38.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	178	3	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	179	3	182

Merged error: 0.5b

Counts

182 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.2b	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
1.6b	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down_binary64`
51×	`cbrt-prod_binary64`
48×	`*-un-lft-identity_binary64`
43×	`times-frac_binary64`
36×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
20×	`add-exp-log_binary64`
14×	`cbrt-div_binary64`
10×	`associate-/r/_binary64`
7×	`flip3-+_binary64` `flip-+_binary64` `pow-exp_binary64`
6×	`pow-unpow_binary64` `pow1_binary64` `distribute-lft-out_binary64`
5×	`div-exp_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow-to-exp_binary64` `associate-r/_binary64` `pow1/3_binary64` `pow-pow_binary64` `sqr-pow_binary64` `div-inv_binary64` `associate-l/_binary64`

Counts

4 → 116

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
12.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
18.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)

series145.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 x)
16.0ms	(cbrt.f64 x)
54.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
60.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5562	1979

prune68.0ms

Filtered

98 candidates to 128 candidates (-30.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	128	3	131

Merged error: 0.0b

Counts

131 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.2b	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
4.1b	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod_binary64`
85×	`*-un-lft-identity_binary64`
84×	`times-frac_binary64`
61×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
48×	`log-prod_binary64` `unpow-prod-down_binary64`
12×	`distribute-lft-out_binary64`
10×	`add-exp-log_binary64`
6×	`pow1_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
3×	`pow-unpow_binary64`
2×	`flip3-+_binary64` `rem-log-exp_binary64` `pow1/3_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `pow-pow_binary64` `log-pow_binary64` `sqr-pow_binary64` `log-div_binary64`

Counts

4 → 144

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
11.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
8.0ms	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))))

series105.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 x)
15.0ms	(cbrt.f64 x)
51.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
23.0ms	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))))

simplify69.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4900	2282
1	4900	2282

prune93.0ms

Filtered

124 candidates to 156 candidates (-25.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	156	3	159

Merged error: 0.0b

Counts

159 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm

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)

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify62.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4919	265
1	4919	265

prune15.0ms

Filtered

24 candidates to 32 candidates (-33.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	32	3	35

Merged error: 0.0b

Counts

35 → 3

regimes76.0ms

Accuracy

95.2% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 5.7b

bsearch58.0ms

Steps

Iters	Range		Point
8	3.4615157257383183e-10	9.99114973295471e-08	9.895811089799677e-08
7	-7.140497808916279e+67	-3.8167360199080496e+65	-4.1257689809172104e+65

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	45
1	40	45

end0.0ms

sample2.0s

Algorithm

intervals

Results

778.0ms	1491×	body	1280	valid
380.0ms	1206×	body	640	valid
252.0ms	4320×	body	80	valid
139.0ms	654×	body	320	valid
75.0ms	252×	body	640	invalid
49.0ms	105×	body	1280	invalid
44.0ms	329×	body	160	valid
34.0ms	170×	body	320	invalid
14.0ms	110×	body	160	invalid
10.0ms	162×	body	80	invalid
8.0ms	180×	body	80	nan

Details

analyze627.0ms

sample63.0ms

simplify40.0ms

prune7.0ms

localize6.0ms

rewrite33.0ms

series80.0ms

simplify58.0ms

prune82.0ms

localize17.0ms

rewrite40.0ms

series145.0ms

simplify53.0ms

prune68.0ms

localize15.0ms

rewrite30.0ms

series105.0ms

simplify69.0ms

prune93.0ms

localize4.0ms

rewrite7.0ms

series6.0ms

simplify62.0ms

prune15.0ms

regimes76.0ms

bsearch58.0ms

simplify2.0ms

end0.0ms

sample2.0s

Profiling