Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	8
1	61	8
2	141	8
3	347	8
4	792	8
5	5002	8

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 12.0b

Counts

2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

0.7b	(- (* (* z 2.0) z) (* y t))
18.9b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

721×	`add-sqr-sqrt`
456×	`associate-l`
393×	`*-un-lft-identity`
330×	`times-frac`
280×	`unswap-sqr`
144×	`distribute-lft-out--` `difference-of-squares`
105×	`add-cube-cbrt`
96×	`associate-r`
32×	`*-commutative`
22×	`associate-/l*`
15×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `div-inv`

Counts

2 → 409

Calls

2 calls:

22.0ms	(- (* (* z 2.0) z) (* y t))
39.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series242.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- (* (* z 2.0) z) (* y t))
202.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify93.0ms

Algorithm

egg-herbie

Counts

415 → 415

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1163	5800
1	5001	5731

prune685.0ms

Filtered

415 candidates to 219 candidates (47.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	405	10	415
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	406	10	416

Merged error: 1.9b

Counts

416 → 10

localize13.0ms

Local error

Found 3 expressions with local error:

0.7b	(- (* (* z 2.0) z) (* y t))
3.9b	(/ (* (* y 2.0) 1) (/ (- (* (* z 2.0) z) (* y t)) z))
17.9b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite296.0ms

Algorithm

rewrite-expression-head

Rules

2951×	`add-sqr-sqrt`
2346×	`times-frac`
1822×	`*-un-lft-identity`
1479×	`associate-l`
1079×	`unswap-sqr`
750×	`add-cube-cbrt`
486×	`distribute-lft-out--` `difference-of-squares`
300×	`associate-r`
100×	`*-commutative`
55×	`associate-/r*`
54×	`associate-/l*`
38×	`add-exp-log`
27×	`div-inv`
26×	`add-cbrt-cube`
23×	`associate-/r/`
16×	`div-exp`
12×	`prod-exp`
10×	`cbrt-undiv`
6×	`cbrt-unprod`
5×	`add-log-exp`
4×	`1-exp` `associate-/l/`
3×	`pow1` `flip3--` `frac-2neg` `clear-num` `flip--`
1×	`sub-neg` `diff-log` `div-sub`

Counts

3 → 1400

Calls

3 calls:

22.0ms	(- (* (* z 2.0) z) (* y t))
68.0ms	(/ (* (* y 2.0) 1) (/ (- (* (* z 2.0) z) (* y t)) z))
30.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series309.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(- (* (* z 2.0) z) (* y t))
198.0ms	(/ (* (* y 2.0) 1) (/ (- (* (* z 2.0) z) (* y t)) z))
66.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify303.0ms

Algorithm

egg-herbie

Counts

1409 → 1409

Iterations

Useful iterations: 1 (77.0ms)

Iter	Nodes	Cost
0	4439	23474
1	5003	22878

prune1.7s

Filtered

1409 candidates to 503 candidates (64.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	1407	2	1409
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	1413	6	1419

Merged error: 1.7b

Counts

1419 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 2.0 z) (/ (* t y) z))
3.9b	(/ (* (* y 2.0) 1) (- (* 2.0 z) (/ (* t y) z)))
6.6b	(/ (* t y) z)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

787×	`add-sqr-sqrt`
404×	`times-frac`
241×	`*-un-lft-identity`
218×	`associate-l` `unswap-sqr`
156×	`difference-of-squares`
113×	`add-cube-cbrt`
84×	`associate-r`
52×	`distribute-lft-out--`
36×	`associate-/l*`
28×	`*-commutative`
22×	`add-exp-log`
17×	`add-cbrt-cube`
14×	`associate-/r*`
7×	`div-exp` `prod-exp`
5×	`cbrt-undiv` `add-log-exp`
4×	`cbrt-unprod`
3×	`pow1`
2×	`flip3--` `frac-2neg` `1-exp` `clear-num` `associate-/r/` `flip--` `div-inv`
1×	`sub-neg` `diff-log`

Counts

3 → 404

Calls

3 calls:

30.0ms	(- (* 2.0 z) (/ (* t y) z))
47.0ms	(/ (* (* y 2.0) 1) (- (* 2.0 z) (/ (* t y) z)))
7.0ms	(/ (* t y) z)

series454.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- (* 2.0 z) (/ (* t y) z))
390.0ms	(/ (* (* y 2.0) 1) (- (* 2.0 z) (/ (* t y) z)))
21.0ms	(/ (* t y) z)

simplify93.0ms

Algorithm

egg-herbie

Counts

413 → 413

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1370	5577
1	5001	5282

prune603.0ms

Filtered

413 candidates to 214 candidates (48.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	410	3	413
Fresh	4	1	5
Picked	0	1	1
Done	0	0	0
Total	414	5	419

Merged error: 0b

Counts

419 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 2.0 z) (/ y (/ z t)))
3.9b	(/ (* (* y 2.0) 1) (- (* 2.0 z) (/ y (/ z t))))
3.9b	(/ y (/ z t))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

798×	`add-sqr-sqrt`
495×	`times-frac`
260×	`*-un-lft-identity`
206×	`associate-l`
162×	`unswap-sqr`
156×	`difference-of-squares`
132×	`add-cube-cbrt`
72×	`associate-r`
52×	`distribute-lft-out--`
30×	`associate-/l*`
27×	`associate-/r*`
24×	`*-commutative`
22×	`add-exp-log`
17×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`div-exp`
6×	`cbrt-undiv` `prod-exp` `div-inv`
5×	`add-log-exp`
3×	`pow1` `frac-2neg` `clear-num` `cbrt-unprod`
2×	`flip3--` `1-exp` `flip--`
1×	`sub-neg` `diff-log`

Counts

3 → 417

Calls

3 calls:

34.0ms	(- (* 2.0 z) (/ y (/ z t)))
52.0ms	(/ (* (* y 2.0) 1) (- (* 2.0 z) (/ y (/ z t))))
7.0ms	(/ y (/ z t))

series247.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- (* 2.0 z) (/ y (/ z t)))
184.0ms	(/ (* (* y 2.0) 1) (- (* 2.0 z) (/ y (/ z t))))
20.0ms	(/ y (/ z t))

simplify95.0ms

Algorithm

egg-herbie

Counts

426 → 426

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1442	5706
1	5001	5429

prune633.0ms

Filtered

426 candidates to 229 candidates (46.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	424	2	426
Fresh	2	1	3
Picked	0	1	1
Done	1	0	1
Total	427	4	431

Merged error: 0b

Counts

431 → 4

regimes81.0ms

Accuracy

0% (0.6b remaining)

Error of 1.1b against oracle of 0.5b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	21	8
2	21	8

end0.0ms

sample510.0ms

Algorithm

intervals

Results

305.0ms

8000×

body

valid