Details

analyze1.0s

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

sample23.0ms

Algorithm

intervals

Results

9.0ms	255×	body	80	valid
1.0ms	30×	body	80	invalid
0.0ms	1×	body	1280	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

prune8.0ms

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: 11.7b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
11.6b	(/ (* (- y z) t) (- a z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

7.0ms	(+ x (/ (* (- y z) t) (- a z)))
6.0ms	(* (- y z) t)
8.0ms	(/ (* (- y z) t) (- a z))

series46.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (/ (* (- y z) t) (- a z)))
6.0ms	(* (- y z) t)
15.0ms	(/ (* (- y z) t) (- a z))

simplify42.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	326	368
1	1401	329
2	5001	329

prune94.0ms

Filtered

52 candidates to 72 candidates (-38.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	66	6	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	6	73

Merged error: 0.0b

Counts

73 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (- y z) (/ (- a z) t)))
0.0b	(/ (- a z) t)
10.9b	(/ (- y z) (/ (- a z) t))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
173×	`*-un-lft-identity`
171×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`

Counts

3 → 188

Calls

3 calls:

25.0ms	(+ x (/ (- y z) (/ (- a z) t)))
8.0ms	(/ (- a z) t)
11.0ms	(/ (- y z) (/ (- a z) t))

series55.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ x (/ (- y z) (/ (- a z) t)))
6.0ms	(/ (- a z) t)
21.0ms	(/ (- y z) (/ (- a z) t))

simplify72.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	779	1717
1	2986	1664
2	5001	1664

prune161.0ms

Filtered

132 candidates to 197 candidates (-49.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	194	3	197
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	198	5	203

Merged error: 0b

Counts

203 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
3.3b	(/ (cbrt (- y z)) (/ (cbrt (- a z)) t))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

440×	`times-frac`
318×	`add-sqr-sqrt` `*-un-lft-identity`
295×	`cbrt-prod`
200×	`add-cube-cbrt`
59×	`distribute-lft-out--` `difference-of-squares`
28×	`associate-/r*`
10×	`div-inv`
9×	`add-exp-log`
8×	`cbrt-div` `associate-/l*`
6×	`add-cbrt-cube`
4×	`pow1` `flip3--` `flip--` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/r/`

Counts

4 → 322

Calls

4 calls:

3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))
18.0ms	(/ (cbrt (- y z)) (/ (cbrt (- a z)) t))

series260.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- y z))
28.0ms	(cbrt (- y z))
25.0ms	(cbrt (- y z))
181.0ms	(/ (cbrt (- y z)) (/ (cbrt (- a z)) t))

simplify132.0ms

Algorithm

egg-herbie

Counts

334 → 334

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	1014	4547
1	3982	4457
2	5001	4281

prune327.0ms

Filtered

213 candidates to 334 candidates (-56.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	334	0	334
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	334	5	339

Merged error: 0b

Counts

339 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ (- y z) (- a z)) t))
0.0b	(/ (- y z) (- a z))
2.5b	(* (/ (- y z) (- a z)) t)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* (/ (- y z) (- a z)) t))
8.0ms	(/ (- y z) (- a z))
12.0ms	(* (/ (- y z) (- a z)) t)

series60.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (* (/ (- y z) (- a z)) t))
9.0ms	(/ (- y z) (- a z))
25.0ms	(* (/ (- y z) (- a z)) t)

simplify46.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	432	753
1	1363	710
2	5002	709

prune86.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	122	5	127

Merged error: 0b

Counts

127 → 5

regimes338.0ms

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	18	19
1	18	19

end0.0ms

analyze1.1s

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

sample675.0ms

Algorithm

intervals

Results

339.0ms	7995×	body	80	valid
29.0ms	746×	body	80	invalid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

Details

analyze1.0s

sample23.0ms

simplify47.0ms

prune8.0ms

localize8.0ms

rewrite23.0ms

series46.0ms

simplify42.0ms

prune94.0ms

localize8.0ms

rewrite53.0ms

series55.0ms

simplify72.0ms

prune161.0ms

localize16.0ms

rewrite48.0ms

series260.0ms

simplify132.0ms

prune327.0ms

localize12.0ms

rewrite27.0ms

series60.0ms

simplify46.0ms

prune86.0ms

regimes338.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.1s

sample675.0ms

Profiling

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5