Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

289×

body

valid

simplify51.0ms

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

prune2.0ms

Filtered

1 candidates to 0 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: 9.4b

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)
9.8b	(/ (* (- y z) t) (- a z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-*l/`
3×	`flip3--` `flip--`
2×	`associate-/r/` `-commutative` `associate-/l/` `associate-/l`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

3 → 15

Calls

3 calls:

4.0ms	(+ x (/ (* (- y z) t) (- a z)))
3.0ms	(* (- y z) t)
5.0ms	(/ (* (- y z) t) (- a z))

series160.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(+ x (/ (* (- y z) t) (- a z)))
27.0ms	(* (- y z) t)
62.0ms	(/ (* (- y z) t) (- a z))

simplify43.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	159	92
1	472	92
2	1529	92
3	5001	92

prune63.0ms

Filtered

24 candidates to 19 candidates (79.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	19	5	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	20	5	25

Merged error: 0.0b

Counts

25 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ t (/ (- a z) (- y z))))
0.0b	(/ (- a z) (- y z))
1.9b	(/ t (/ (- a z) (- y z)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`associate-/r/`
4×	`flip3--` `flip--` `associate-/l/`
3×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`
1×	`+-commutative` `flip3-+` `div-sub` `flip-+`

Counts

3 → 22

Calls

3 calls:

4.0ms	(+ x (/ t (/ (- a z) (- y z))))
4.0ms	(/ (- a z) (- y z))
4.0ms	(/ t (/ (- a z) (- y z)))

series300.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(+ x (/ t (/ (- a z) (- y z))))
49.0ms	(/ (- a z) (- y z))
141.0ms	(/ t (/ (- a z) (- y z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	156	118
1	469	118
2	1672	117
3	5001	117

prune259.0ms

Filtered

31 candidates to 25 candidates (80.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	31	5	36

Merged error: 0b

Counts

36 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* t (/ (- y z) (- a z))))
0.0b	(/ (- y z) (- a z))
1.7b	(* t (/ (- y z) (- a z)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-*r/`
4×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
3×	`associate-r` `clear-num`
2×	`frac-2neg` `div-inv`
1×	`+-commutative` `flip3-+` `div-sub` `un-div-inv` `*-commutative` `flip-+`

Counts

3 → 21

Calls

3 calls:

4.0ms	(+ x (* t (/ (- y z) (- a z))))
4.0ms	(/ (- y z) (- a z))
4.0ms	(* t (/ (- y z) (- a z)))

series188.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(+ x (* t (/ (- y z) (- a z))))
46.0ms	(/ (- y z) (- a z))
65.0ms	(* t (/ (- y z) (- a z)))

simplify66.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	162	102
1	575	102
2	2297	102
3	5001	102

prune74.0ms

Filtered

30 candidates to 23 candidates (76.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	31	4	35

Merged error: 0b

Counts

35 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (- a z) (* (- y z) t))))
0.0b	(* (- y z) t)
0.4b	(/ 1 (/ (- a z) (* (- y z) t)))
9.8b	(/ (- a z) (* (- y z) t))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`associate-/r/`
7×	`associate-/r*`
6×	`associate-*l/`
5×	`flip3--` `flip--`
4×	`clear-num` `associate-/l/`
3×	`frac-2neg` `*-commutative` `div-inv`
1×	`+-commutative` `flip3-+` `div-sub` `flip-+` `remove-double-div` `inv-pow`

Counts

4 → 31

Calls

4 calls:

5.0ms	(+ x (/ 1 (/ (- a z) (* (- y z) t))))
3.0ms	(* (- y z) t)
6.0ms	(/ 1 (/ (- a z) (* (- y z) t)))
5.0ms	(/ (- a z) (* (- y z) t))

series415.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(+ x (/ 1 (/ (- a z) (* (- y z) t))))
27.0ms	(* (- y z) t)
151.0ms	(/ 1 (/ (- a z) (* (- y z) t)))
78.0ms	(/ (- a z) (* (- y z) t))

simplify93.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	191	161
1	659	160
2	3319	153
3	5002	153

prune99.0ms

Filtered

43 candidates to 34 candidates (79.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	43	4	47

Merged error: 0b

Counts

47 → 4

regimes105.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample564.0ms

Algorithm

intervals

Results

275.0ms	8781×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	2560	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

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