Details

analyze940.0ms

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
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
18.4%	81.3%	0.2%	13
29.5%	70.3%	0.2%	14

sample29.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	23×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	85	11
1	85	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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- a z))
11.5b	(* (- y z) (/ t (- a z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 83

Calls

2 calls:

5.0ms	(/ t (- a z))
12.0ms	(* (- y z) (/ t (- a z)))

series25.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/ t (- a z))
15.0ms	(* (- y z) (/ t (- a z)))

simplify66.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5011	857

prune102.0ms

Filtered

63 candidates to 89 candidates (-41.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	84	5	89
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
4.0b	(* (- y z) (* (cbrt t) (/ (cbrt t) (* (cbrt (- a z)) (cbrt (- a z))))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `cbrt-prod`
8×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`associate-*r/` `add-log-exp`
3×	`pow1/3` `pow-prod-down`
2×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-*l/` `flip--`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
18.0ms	(* (- y z) (* (cbrt t) (/ (cbrt t) (* (cbrt (- a z)) (cbrt (- a z))))))

series150.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt t)
22.0ms	(cbrt t)
22.0ms	(cbrt t)
82.0ms	(* (- y z) (* (cbrt t) (/ (cbrt t) (* (cbrt (- a z)) (cbrt (- a z))))))

simplify59.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4963	664
1	4963	664

prune102.0ms

Filtered

52 candidates to 74 candidates (-42.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	73	8	81

Merged error: 0.0b

Counts

81 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
4.0b	(* (- y z) (* (cbrt t) (/ (cbrt t) (* (cbrt (- a z)) (cbrt (- a z))))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `cbrt-prod`
8×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`associate-*r/` `add-log-exp`
3×	`pow1/3` `pow-prod-down`
2×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-*l/` `flip--`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
18.0ms	(* (- y z) (* (cbrt t) (/ (cbrt t) (* (cbrt (- a z)) (cbrt (- a z))))))

series146.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt t)
21.0ms	(cbrt t)
21.0ms	(cbrt t)
81.0ms	(* (- y z) (* (cbrt t) (/ (cbrt t) (* (cbrt (- a z)) (cbrt (- a z))))))

simplify57.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4963	664
1	4963	664

prune109.0ms

Filtered

52 candidates to 74 candidates (-42.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	73	9	82

Merged error: 0.0b

Counts

82 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.7b	(* t (/ (cbrt (- y z)) (- a z)))
8.3b	(* (* (cbrt (- y z)) (cbrt (- y z))) (* t (/ (cbrt (- y z)) (- a z))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
47×	`associate-r`
42×	`times-frac`
36×	`cbrt-prod`
30×	`add-exp-log`
28×	`cbrt-div`
26×	`add-cube-cbrt`
21×	`add-cbrt-cube`
18×	`pow1`
16×	`frac-times`
15×	`flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
12×	`associate-*l/`
9×	`pow-prod-down`
4×	`associate-l` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `unswap-sqr`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`div-inv`

Counts

4 → 139

Calls

4 calls:

3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))
16.0ms	(* t (/ (cbrt (- y z)) (- a z)))
20.0ms	(* (* (cbrt (- y z)) (cbrt (- y z))) (* t (/ (cbrt (- y z)) (- a z))))

series108.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (- y z))
25.0ms	(cbrt (- y z))
40.0ms	(* t (/ (cbrt (- y z)) (- a z)))
16.0ms	(* (* (cbrt (- y z)) (cbrt (- y z))) (* t (/ (cbrt (- y z)) (- a z))))

simplify87.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4953	1804
1	4953	1804

prune203.0ms

Filtered

100 candidates to 151 candidates (-51.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	1	4	5
Picked	1	0	1
Done	1	2	3
Total	153	7	160

Merged error: 0b

Counts

160 → 7

regimes550.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	38
1	24	38

end0.0ms

analyze915.0ms

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
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
18.4%	81.3%	0.2%	13
29.5%	70.3%	0.2%	14

sample612.0ms

Algorithm

intervals

Results

309.0ms	7998×	body	80	valid
26.0ms	732×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

Details

analyze940.0ms

sample29.0ms

simplify5.0ms

prune12.0ms

localize8.0ms

rewrite21.0ms

series25.0ms

simplify66.0ms

prune102.0ms

localize16.0ms

rewrite23.0ms

series150.0ms

simplify59.0ms

prune102.0ms

localize23.0ms

rewrite23.0ms

series146.0ms

simplify57.0ms

prune109.0ms

localize12.0ms

rewrite51.0ms

series108.0ms

simplify87.0ms

prune203.0ms

regimes550.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze915.0ms

sample612.0ms

Profiling