Details

analyze923.0ms

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
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
2.7%	90.9%	6.4%	9
4.1%	86.4%	9.5%	10
4.4%	86.1%	9.5%	11
19.7%	65.3%	15%	12
21.9%	60.4%	17.7%	13
22.7%	59.6%	17.7%	14

sample48.0ms

Algorithm

intervals

Results

12.0ms	208×	body	80	valid
8.0ms	16×	body	1280	valid
6.0ms	18×	body	640	valid
3.0ms	10×	body	640	invalid
2.0ms	44×	body	80	nan
2.0ms	9×	body	320	invalid
2.0ms	9×	body	320	valid
1.0ms	2×	body	1280	invalid
1.0ms	13×	body	80	invalid
1.0ms	5×	body	160	valid
0.0ms	2×	body	160	invalid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4962	16
1	4962	16

prune8.0ms

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: 5.5b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
0.0b	(/.f64 y (+.f64 y z))
6.3b	(pow.f64 (/.f64 y (+.f64 y z)) y)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64`
24×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`unpow-prod-down_binary64`
8×	`distribute-lft-out_binary64` `add-exp-log_binary64`
5×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
4×	`associate-/r*_binary64` `pow1_binary64` `associate-/r/_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `associate-/l*_binary64` `flip-+_binary64`
2×	`div-inv_binary64` `div-exp_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `cbrt-undiv_binary64` `pow-pow_binary64` `sqr-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 78

Calls

3 calls:

23.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
5.0ms	(/.f64 y (+.f64 y z))
7.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)

series283.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
23.0ms	(/.f64 y (+.f64 y z))
172.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)

simplify71.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5020	1449

prune64.0ms

Filtered

61 candidates to 87 candidates (-42.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	83	4	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	4	88

Merged error: 0.3b

Counts

88 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)
1.0b	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
1.9b	(pow.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)

rewrite38.0ms

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

series637.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt.f64 y)
86.0ms	(cbrt.f64 y)
223.0ms	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
244.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)

simplify92.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5591	3118

prune130.0ms

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	1	2	3
Picked	1	0	1
Done	0	0	0
Total	129	3	132

Merged error: 0.0b

Counts

132 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)
1.0b	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
5.2b	(log.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))))

rewrite33.0ms

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 y)
1.0ms	(cbrt.f64 y)
12.0ms	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
8.0ms	(log.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))))

series465.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt.f64 y)
88.0ms	(cbrt.f64 y)
219.0ms	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
74.0ms	(log.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))))

simplify92.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4939	3705
1	4939	3705

prune154.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))
6.3b	(pow.f64 (/.f64 y (+.f64 y z)) y)
6.3b	(pow.f64 (/.f64 y (+.f64 y z)) y)
6.3b	(pow.f64 (/.f64 y (+.f64 y z)) y)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

54×	`unpow-prod-down_binary64`
52×	`*-un-lft-identity_binary64`
36×	`times-frac_binary64`
32×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64`
10×	`distribute-lft-out_binary64`
9×	`pow-unpow_binary64`
7×	`pow1_binary64`
6×	`associate-/r/_binary64` `pow-exp_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `flip-+_binary64` `cbrt-prod_binary64`
3×	`pow-to-exp_binary64` `pow-pow_binary64` `sqr-pow_binary64` `div-inv_binary64` `div-exp_binary64`
2×	`cbrt-div_binary64`
1×	`pow1/3_binary64`

Counts

4 → 113

Calls

4 calls:

26.0ms	(cbrt.f64 (+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))
7.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
8.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
8.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)

series838.0ms

Counts

4 → 12

Calls

4 calls:

320.0ms	(cbrt.f64 (+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))
171.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
175.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
172.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)

simplify80.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4955	2607
1	4955	2607

prune100.0ms

Filtered

90 candidates to 125 candidates (-38.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	124	4	128

Merged error: 0b

Counts

128 → 4

regimes37.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	43
1	22	43

end0.0ms

sample1.5s

Algorithm

intervals

Results

370.0ms	6111×	body	80	valid
346.0ms	692×	body	1280	valid
202.0ms	638×	body	640	valid
79.0ms	260×	body	640	invalid
79.0ms	381×	body	320	valid
49.0ms	1116×	body	80	nan
48.0ms	105×	body	1280	invalid
38.0ms	192×	body	320	invalid
24.0ms	178×	body	160	valid
24.0ms	388×	body	80	invalid
12.0ms	93×	body	160	invalid

Details

analyze923.0ms

sample48.0ms

simplify92.0ms

prune8.0ms

localize8.0ms

rewrite39.0ms

series283.0ms

simplify71.0ms

prune64.0ms

localize20.0ms

rewrite38.0ms

series637.0ms

simplify92.0ms

prune130.0ms

localize18.0ms

rewrite33.0ms

series465.0ms

simplify92.0ms

prune154.0ms

localize13.0ms

rewrite53.0ms

series838.0ms

simplify80.0ms

prune100.0ms

regimes37.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.5s

Profiling