Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

265×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	8
1	39	8
2	64	8
3	115	8
4	207	8
5	465	8
6	1337	8
7	5001	8

prune3.0ms

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

localize14.0ms

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))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 28

Calls

4 calls:

4.0ms	(- (* y z) x)
4.0ms	(- (* t z) x)
8.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series243.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* y z) x)
30.0ms	(- (* t z) x)
128.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
63.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify69.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	215	179
1	701	176
2	2540	175
3	5003	171

prune127.0ms

Filtered

40 candidates to 31 candidates (77.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	34	6	40
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	6	41

Merged error: 0.2b

Counts

41 → 6

localize15.0ms

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))

rewrite28.0ms

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--`
2×	`fma-neg`
1×	`sub-neg` `div-sub` `*-commutative` `remove-double-div` `inv-pow`

Counts

4 → 34

Calls

4 calls:

4.0ms	(- (* t z) x)
7.0ms	(/ (+ 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))

series352.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (* t z) x)
133.0ms	(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
129.0ms	(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
64.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify97.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	221	216
1	779	213
2	3455	210
3	5002	207

prune135.0ms

Filtered

46 candidates to 34 candidates (73.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	46	6	52

Merged error: 0.2b

Counts

52 → 6

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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:

5.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify94.0ms

Algorithm

egg-herbie

Counts

10 → 10

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	114	55
1	287	53
2	994	52
3	4047	49
4	5001	49

prune41.0ms

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

localize19.0ms

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)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

18×	`frac-times` `*-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` `fma-neg` `associate-*r/`
1×	`associate-+r-`

Counts

4 → 63

Calls

4 calls:

4.0ms	(- (* t z) x)
12.0ms	(* (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (- (* x x) (* 1.0 1.0))) (- x 1.0))
7.0ms	(/ (- (* y z) x) (- (* t z) x))
10.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (- (* x x) (* 1.0 1.0)))

series410.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (* t z) x)
179.0ms	(* (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (- (* x x) (* 1.0 1.0))) (- x 1.0))
59.0ms	(/ (- (* y z) x) (- (* t z) x))
146.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (- (* x x) (* 1.0 1.0)))

simplify79.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	465	800
1	2565	792
2	5001	779

prune210.0ms

Filtered

75 candidates to 50 candidates (66.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	75	7	82

Merged error: 0.2b

Counts

82 → 7

regimes168.0ms

Accuracy

55.3% (2.7b remaining)

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

bsearch110.0ms

Steps

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

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	13
1	34	13

end0.0ms

sample612.0ms

Algorithm

intervals

Results

394.0ms

8350×

body

valid