Details

analyze876.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.2%	66.5%	0.2%	14

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify99.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4952	11
1	4952	11

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
2.9b	(* y (/ (- z t) (- z a)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

7.0ms	(/ (- z t) (- z a))
13.0ms	(* y (/ (- z t) (- z a)))

series24.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ (- z t) (- z a))
16.0ms	(* y (/ (- z t) (- z a)))

simplify51.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5083	1163

prune116.0ms

Filtered

70 candidates to 108 candidates (-54.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	102	6	108
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	102	8	110

Merged error: 0.0b

Counts

110 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))

series106.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- z t))
25.0ms	(cbrt (- z a))
29.0ms	(cbrt (- z a))
26.0ms	(cbrt (- z a))

simplify53.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4940	580
1	4940	580

prune102.0ms

Filtered

56 candidates to 72 candidates (-28.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	72	8	80

Merged error: 0.0b

Counts

80 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
8.6b	(* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- z a)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt` `*-un-lft-identity`
46×	`associate-r`
40×	`cbrt-prod` `times-frac`
30×	`cbrt-div`
26×	`add-cube-cbrt`
25×	`add-exp-log`
21×	`associate-*r/`
18×	`add-cbrt-cube`
16×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
13×	`pow1`
12×	`associate-*l/` `prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`associate-/r/`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 132

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
28.0ms	(* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- z a)))

series96.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- z t))
29.0ms	(cbrt (- z t))
25.0ms	(cbrt (- z t))
16.0ms	(* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- z a)))

simplify51.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4993	2137
1	4993	2137

prune146.0ms

Filtered

97 candidates to 144 candidates (-48.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	144	8	152

Merged error: 0b

Counts

152 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

1.6b	(cbrt (/ (cbrt (- z t)) (- z a)))
1.6b	(cbrt (/ (cbrt (- z t)) (- z a)))
1.6b	(cbrt (/ (cbrt (- z t)) (- z a)))
2.1b	(* (* y (* (cbrt (- z t)) (* (cbrt (- z t)) (* (cbrt (/ (cbrt (- z t)) (- z a))) (cbrt (/ (cbrt (- z t)) (- z a))))))) (cbrt (/ (cbrt (- z t)) (- z a))))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

284×	`cbrt-prod`
207×	`cbrt-div`
185×	`add-sqr-sqrt` `*-un-lft-identity`
160×	`times-frac`
133×	`frac-times`
129×	`associate-*r/`
81×	`add-cube-cbrt`
69×	`associate-*l/`
52×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
49×	`associate-r`
24×	`pow1` `add-exp-log`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`add-cbrt-cube`
8×	`associate-/r/`
4×	`div-inv` `add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 309

Calls

4 calls:

8.0ms	(cbrt (/ (cbrt (- z t)) (- z a)))
8.0ms	(cbrt (/ (cbrt (- z t)) (- z a)))
8.0ms	(cbrt (/ (cbrt (- z t)) (- z a)))
57.0ms	(* (* y (* (cbrt (- z t)) (* (cbrt (- z t)) (* (cbrt (/ (cbrt (- z t)) (- z a))) (cbrt (/ (cbrt (- z t)) (- z a))))))) (cbrt (/ (cbrt (- z t)) (- z a))))

series272.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt (/ (cbrt (- z t)) (- z a)))
82.0ms	(cbrt (/ (cbrt (- z t)) (- z a)))
83.0ms	(cbrt (/ (cbrt (- z t)) (- z a)))
24.0ms	(* (* y (* (cbrt (- z t)) (* (cbrt (- z t)) (* (cbrt (/ (cbrt (- z t)) (- z a))) (cbrt (/ (cbrt (- z t)) (- z a))))))) (cbrt (/ (cbrt (- z t)) (- z a))))

simplify139.0ms

Algorithm

egg-herbie

Counts

321 → 321

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5211	9706

prune272.0ms

Filtered

193 candidates to 321 candidates (-66.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	321	0	321
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	321	8	329

Merged error: 0b

Counts

329 → 8

regimes590.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	33
1	38	33

end0.0ms

sample600.0ms

Algorithm

intervals

Results

302.0ms	7996×	body	80	valid
27.0ms	782×	body	80	invalid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

analyze876.0ms

sample23.0ms

simplify99.0ms

prune12.0ms

localize8.0ms

rewrite24.0ms

series24.0ms

simplify51.0ms

prune116.0ms

localize16.0ms

rewrite14.0ms

series106.0ms

simplify53.0ms

prune102.0ms

localize12.0ms

rewrite44.0ms

series96.0ms

simplify51.0ms

prune146.0ms

localize17.0ms

rewrite104.0ms

series272.0ms

simplify139.0ms

prune272.0ms

regimes590.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample600.0ms

Profiling