Details

analyze715.0ms

Algorithm: search

sample28.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	13×	body	80	invalid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	8
1	35	8
2	60	8
3	103	8
4	183	8
5	416	8
6	1194	8
7	5001	8

prune4.0ms

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: 7.4b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.2b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.5b	(/ (- (* y z) x) (- (* t z) x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `div-sub` `associate-/r/` `associate-/l/`
3×	`flip3--` `flip3-+` `flip--` `flip-+`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 98

Calls

4 calls:

4.0ms	(- (* t z) x)
11.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
15.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0ms	(/ (- (* y z) x) (- (* t z) x))

series86.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* t z) x)
25.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
38.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
18.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify47.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	397	1011
1	1388	948
2	5001	947

prune145.0ms

Filtered

80 candidates to 110 candidates (-37.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	103	7	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	7	111

Merged error: 0.5b

Counts

111 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (- (* t z) x) (- (* y z) x))))
0.2b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
0.7b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
9.6b	(/ (- (* t z) x) (- (* y z) x))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
97×	`*-un-lft-identity`
67×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
19×	`add-exp-log`
18×	`distribute-lft-out`
13×	`associate-/r/` `add-cbrt-cube` `div-inv`
11×	`associate-/l*`
9×	`div-exp`
6×	`flip3--` `flip--` `add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`associate-/l/`
3×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
2×	`rec-exp` `1-exp`
1×	`+-commutative` `pow-flip` `div-sub` `sum-log` `inv-pow`

Counts

4 → 174

Calls

4 calls:

17.0ms	(+ x (/ 1 (/ (- (* t z) x) (- (* y z) x))))
24.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
10.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
9.0ms	(/ (- (* t z) x) (- (* y z) x))

series104.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ x (/ 1 (/ (- (* t z) x) (- (* y z) x))))
35.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
26.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
17.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify72.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	633	2101
1	2900	1862
2	5001	1850

prune161.0ms

Filtered

108 candidates to 186 candidates (-72.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	185	1	186
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	187	6	193

Merged error: 0.5b

Counts

193 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
0.4b	(/ 1 (- (* t z) x))
0.4b	(/ 1 (- (* y z) x))
9.0b	(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

547×	`times-frac`
274×	`*-un-lft-identity`
254×	`add-sqr-sqrt` `add-cube-cbrt`
71×	`associate-/r/`
54×	`add-exp-log`
37×	`div-exp`
36×	`div-inv`
34×	`flip3--` `flip--`
25×	`associate-/r` `associate-/l`
22×	`add-cbrt-cube`
11×	`cbrt-undiv`
10×	`rec-exp` `1-exp` `distribute-lft-out`
6×	`pow1`
4×	`frac-2neg` `clear-num` `add-log-exp`
3×	`associate-/l/`
2×	`pow-flip` `flip3-+` `flip-+` `inv-pow`

Counts

4 → 393

Calls

4 calls:

84.0ms	(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
10.0ms	(/ 1 (- (* t z) x))
8.0ms	(/ 1 (- (* y z) x))
17.0ms	(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

series84.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
7.0ms	(/ 1 (- (* t z) x))
7.0ms	(/ 1 (- (* y z) x))
35.0ms	(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

simplify88.0ms

Algorithm

egg-herbie

Counts

405 → 405

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1698	5903
1	5001	5378

prune418.0ms

Filtered

206 candidates to 405 candidates (-96.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	405	0	405
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	405	6	411

Merged error: 0.5b

Counts

411 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

3.7b	(cbrt (/ (- (* y z) x) (- (* t z) x)))
9.5b	(/ (- (* y z) x) (- (* t z) x))
9.5b	(/ (- (* y z) x) (- (* t z) x))
9.5b	(/ (- (* y z) x) (- (* t z) x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
8×	`associate-/r/`
7×	`flip3--` `flip--`
6×	`associate-/l/`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num`
1×	`cbrt-div` `pow1/3`

Counts

4 → 120

Calls

4 calls:

6.0ms	(cbrt (/ (- (* y z) x) (- (* t z) x)))
9.0ms	(/ (- (* y z) x) (- (* t z) x))
9.0ms	(/ (- (* y z) x) (- (* t z) x))
9.0ms	(/ (- (* y z) x) (- (* t z) x))

series106.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(cbrt (/ (- (* y z) x) (- (* t z) x)))
20.0ms	(/ (- (* y z) x) (- (* t z) x))
17.0ms	(/ (- (* y z) x) (- (* t z) x))
17.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify82.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	285	1195
1	924	1116
2	3729	1109
3	5002	1107

prune139.0ms

Filtered

111 candidates to 132 candidates (-18.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	132	6	138

Merged error: 0.5b

Counts

138 → 6

regimes440.0ms

Accuracy

73.6% (1.8b remaining)

Error of 2.6b against oracle of 0.8b and baseline of 7.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	29
1	38	29

end0.0ms

analyze695.0ms

Algorithm: search

sample613.0ms

Algorithm

intervals

Results

394.0ms	8000×	body	80	valid
16.0ms	337×	body	80	invalid

Details

analyze715.0ms

sample28.0ms

simplify45.0ms

prune4.0ms

localize12.0ms

rewrite41.0ms

series86.0ms

simplify47.0ms

prune145.0ms

localize13.0ms

rewrite67.0ms

series104.0ms

simplify72.0ms

prune161.0ms

localize13.0ms

rewrite159.0ms

series84.0ms

simplify88.0ms

prune418.0ms

localize18.0ms

rewrite36.0ms

series106.0ms

simplify82.0ms

prune139.0ms

regimes440.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

analyze695.0ms

sample613.0ms

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