Details

sample28.0ms

Algorithm

intervals

Results

10.0ms	261×	body	80	valid
2.0ms	17×	body	640	valid
2.0ms	9×	body	1280	valid
1.0ms	11×	body	320	valid
0.0ms	6×	body	160	valid
0.0ms	1×	body	2560	valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	6
1	45	6
2	111	6
3	288	6
4	714	6
5	1493	6
6	3393	6
7	5002	6

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: 22.5b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
1.5b	(+ x (/ (* (- y x) (- z t)) (- a t)))
16.8b	(/ (* (- y x) (- z t)) (- a t))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`flip3--` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/l/`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 81

Calls

3 calls:

11.0ms	(* (- y x) (- z t))
7.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
12.0ms	(/ (* (- y x) (- z t)) (- a t))

series294.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* (- y x) (- z t))
152.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
108.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify60.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	468	583
1	2162	534
2	5003	534

prune229.0ms

Filtered

90 candidates to 67 candidates (74.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	77	13	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	13	91

Merged error: 4.4b

Counts

91 → 13

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.5b	(+ x (/ (- y x) (/ (- a t) (- z t))))
1.7b	(/ (- y x) (/ (- a t) (- z t)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
323×	`*-un-lft-identity`
321×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
104×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
15×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 274

Calls

3 calls:

7.0ms	(/ (- a t) (- z t))
39.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
14.0ms	(/ (- y x) (/ (- a t) (- z t)))

series391.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (- a t) (- z t))
148.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
197.0ms	(/ (- y x) (/ (- a t) (- z t)))

simplify106.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	1030	3053
1	4263	2984
2	5003	2984

prune679.0ms

Filtered

283 candidates to 172 candidates (60.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	273	10	283
Fresh	8	4	12
Picked	1	0	1
Done	0	0	0
Total	282	14	296

Merged error: 4.1b

Counts

296 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.3b	(* (- a t) (/ 1 (- z t)))
1.7b	(/ (- y x) (* (- a t) (/ 1 (- z t))))
2.5b	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
37×	`times-frac`
32×	`add-exp-log`
26×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-cbrt-cube`
11×	`div-exp`
10×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
8×	`prod-exp` `associate-/l*`
7×	`pow1` `flip3--` `flip--`
6×	`cbrt-undiv` `associate-/r*` `add-log-exp`
5×	`associate-l`
4×	`frac-times` `associate-*l/` `cbrt-unprod`
3×	`rec-exp` `1-exp` `div-inv` `unswap-sqr`
2×	`frac-2neg` `div-sub` `associate-*r/` `clear-num` `un-div-inv` `associate-/l/`
1×	`+-commutative` `associate-+r-` `pow-flip` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 142

Calls

4 calls:

5.0ms	(/ 1 (- z t))
13.0ms	(* (- a t) (/ 1 (- z t)))
15.0ms	(/ (- y x) (* (- a t) (/ 1 (- z t))))
9.0ms	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

series425.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ 1 (- z t))
47.0ms	(* (- a t) (/ 1 (- z t)))
189.0ms	(/ (- y x) (* (- a t) (/ 1 (- z t))))
154.0ms	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

simplify63.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	559	960
1	2445	832
2	5001	785

prune267.0ms

Filtered

154 candidates to 94 candidates (61.0%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	152	2	154
Fresh	2	11	13
Picked	1	0	1
Done	0	0	0
Total	155	13	168

Merged error: 4.1b

Counts

168 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.7b	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
1.4b	(/ (/ (- a t) (- z t)) (- y x))
3.2b	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

1933×	`times-frac`
1483×	`*-un-lft-identity`
1480×	`add-sqr-sqrt`
624×	`add-cube-cbrt`
428×	`distribute-lft-out--` `difference-of-squares`
171×	`associate-/r*`
65×	`associate-/r/`
39×	`associate-/l*`
34×	`div-inv`
33×	`flip3--` `flip--`
32×	`add-exp-log`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

4 → 946

Calls

4 calls:

7.0ms	(/ (- a t) (- z t))
35.0ms	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
17.0ms	(/ (/ (- a t) (- z t)) (- y x))
106.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

series653.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ (- a t) (- z t))
291.0ms	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
148.0ms	(/ (/ (- a t) (- z t)) (- y x))
164.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

simplify172.0ms

Algorithm

egg-herbie

Counts

958 → 958

Iterations

Useful iterations: 1 (48.0ms)

Iter	Nodes	Cost
0	2354	13203
1	5001	11834

prune1.2s

Filtered

958 candidates to 358 candidates (37.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	958	0	958
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	958	13	971

Merged error: 4.1b

Counts

971 → 13

regimes328.0ms

Accuracy

18.1% (6.3b remaining)

Error of 10.4b against oracle of 4.1b and baseline of 11.8b

bsearch185.0ms

Steps

Iters	Range		Point
7	5.531914779802399e-150	9.75663645696442e-148	5.673734095128166e-150
7	7.793691238196007e-203	1.048885233134807e-200	2.1392467624841266e-202
8	3.101866924303149e-252	2.420055256897338e-248	2.0025643502427094e-249
9	-2.077825720012246e-165	-1.2927802984630144e-170	-1.1644172666068035e-167

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	32
1	48	32
2	51	32
3	51	32

end0.0ms

sample808.0ms

Algorithm

intervals

Results

322.0ms	7785×	body	80	valid
79.0ms	529×	body	640	valid
47.0ms	240×	body	1280	valid
45.0ms	408×	body	320	valid
21.0ms	272×	body	160	valid
3.0ms	12×	body	2560	valid