Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

265×

body

valid

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

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: 6.6b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 24

Calls

4 calls:

3.0ms	(- (* y z) x)
3.0ms	(- (* t z) x)
7.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
7.0ms	(/ (- (* y z) x) (- (* t z) x))

series221.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (* y z) x)
23.0ms	(- (* t z) x)
116.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
57.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify81.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	200	183
1	626	183
2	2232	181
3	5002	181

prune99.0ms

Filtered

36 candidates to 27 candidates (75.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	6	37

Merged error: 0.2b

Counts

37 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.1b	(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
0.1b	(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
9.5b	(/ (- (* y z) x) (- (* t z) x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

Calls

4 calls:

3.0ms	(- (* t z) x)
6.0ms	(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
7.0ms	(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series313.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* t z) x)
116.0ms	(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
118.0ms	(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
56.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify105.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	207	219
1	708	218
2	3156	215
3	5002	215

prune112.0ms

Filtered

44 candidates to 32 candidates (72.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	44	6	50

Merged error: 0.2b

Counts

50 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

1.9b	(/ (+ x (/ y t)) (+ x 1.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 7

Calls

1 calls:

4.0ms

(/ (+ x (/ y t)) (+ x 1.0))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(/ (+ x (/ y t)) (+ x 1.0))

simplify88.0ms

Algorithm

egg-herbie

Counts

10 → 10

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	110	55
1	267	53
2	888	53
3	3352	51
4	5002	51

prune34.0ms

Filtered

10 candidates to 9 candidates (90.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	9	1	10
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	9	7	16

Merged error: 0.2b

Counts

16 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.1b	(* (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (- (* x x) (* 1.0 1.0))) (- x 1.0))
9.5b	(/ (- (* y z) x) (- (* t z) x))
16.8b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (- (* x x) (* 1.0 1.0)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

18×	`frac-times`
17×	`*-commutative`
16×	`associate-/r*` `difference-of-squares`
15×	`flip3--` `flip--`
10×	`associate-/l/`
9×	`associate-*l/`
6×	`associate-/r/`
5×	`frac-2neg` `clear-num`
4×	`flip3-+` `flip-+`
3×	`sub-neg` `div-sub` `associate-l` `div-inv`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`associate-+r-`

Counts

4 → 61

Calls

4 calls:

3.0ms	(- (* t z) x)
11.0ms	(* (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (- (* x x) (* 1.0 1.0))) (- x 1.0))
7.0ms	(/ (- (* y z) x) (- (* t z) x))
9.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (- (* x x) (* 1.0 1.0)))

series402.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (* t z) x)
163.0ms	(* (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (- (* x x) (* 1.0 1.0))) (- x 1.0))
54.0ms	(/ (- (* y z) x) (- (* t z) x))
158.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (- (* x x) (* 1.0 1.0)))

simplify77.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	445	813
1	2529	811
2	5001	800

prune172.0ms

Filtered

73 candidates to 48 candidates (65.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	73	7	80

Merged error: 0.2b

Counts

80 → 7

regimes158.0ms

Accuracy

55.3% (2.7b remaining)

Error of 3.5b against oracle of 0.8b and baseline of 6.9b

bsearch99.0ms

Steps

Iters	Range		Point
8	3.138748933462479e+38	9.410933052996029e+41	8.001476593534675e+41
9	-1.4432352669753314e+49	-6.324232834802283e+42	-6.092583070895156e+44

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	13
1	34	13

end0.0ms

sample545.0ms

Algorithm

intervals

Results

335.0ms

8350×

body

valid