Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

332×

body

valid

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	51	3
3	90	3
4	150	3
5	214	3
6	308	3
7	447	3
8	550	3
9	865	3
10	1231	3
11	1725	3
12	2728	3
13	4464	3
14	5001	3

prune6.0ms

Filtered

1 candidates to 1 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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y x) z) t))
0.0b	(* (- y x) z)
4.5b	(/ (* (- y x) z) t)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 13

Calls

3 calls:

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

series103.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ x (/ (* (- y x) z) t))
27.0ms	(* (- y x) z)
40.0ms	(/ (* (- y x) z) t)

simplify36.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	136	93
1	335	78
2	1185	74
3	5001	74

prune43.0ms

Filtered

22 candidates to 14 candidates (63.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	18	4	22
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	19	5	24

Merged error: 0.0b

Counts

24 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
7.6b	(/ (- y x) (/ t z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 14

Calls

2 calls:

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

series76.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (/ (- y x) (/ t z)))
41.0ms	(/ (- y x) (/ t z))

simplify40.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	136	94
1	393	80
2	1548	75
3	5002	75

prune41.0ms

Filtered

20 candidates to 13 candidates (65.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	19	6	25

Merged error: 0b

Counts

25 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
6.7b	(* (- y x) (/ z t))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 17

Calls

2 calls:

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

series74.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (* (- y x) (/ z t)))
39.0ms	(* (- y x) (/ z t))

simplify64.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	150	126
1	626	125
2	3426	110
3	5001	110

prune52.0ms

Filtered

23 candidates to 16 candidates (69.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	23	6	29

Merged error: 0b

Counts

29 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ t z) (- y x))))
0.7b	(/ 1 (/ (/ t z) (- y x)))
7.3b	(/ (/ t z) (- y x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 28

Calls

3 calls:

4.0ms	(+ x (/ 1 (/ (/ t z) (- y x))))
4.0ms	(/ 1 (/ (/ t z) (- y x)))
4.0ms	(/ (/ t z) (- y x))

series118.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ x (/ 1 (/ (/ t z) (- y x))))
51.0ms	(/ 1 (/ (/ t z) (- y x)))
35.0ms	(/ (/ t z) (- y x))

simplify68.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	139	133
1	420	117
2	2780	105
3	5001	104

prune61.0ms

Filtered

37 candidates to 23 candidates (62.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	36	1	37
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	37	6	43

Merged error: 0b

Counts

43 → 6

regimes99.0ms

Accuracy

0.5% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch93.0ms

Steps

Iters	Range		Point
11	-1.823995982739785e-220	-2.7194584561932643e-242	-7.1064035504258e-228
9	-9.407094719653012e+95	-2.74823391060906e+86	-2.319006236428282e+87

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	11
1	38	11
2	39	11
3	39	11

end0.0ms

sample541.0ms

Algorithm

intervals

Results

285.0ms

10561×

body

valid