Details

sample36.0ms

Algorithm

intervals

Results

11.0ms	241×	body	80	valid
3.0ms	19×	body	320	valid
2.0ms	13×	body	640	valid
2.0ms	10×	body	1280	valid
1.0ms	9×	body	160	valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 27.3b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.8b	(+ x (/ (* (- y x) (- z t)) (- a t)))
19.3b	(/ (* (- y x) (- z t)) (- a t))

rewrite34.0ms

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:

9.0ms	(* (- y x) (- z t))
10.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
12.0ms	(/ (* (- y x) (- z t)) (- a t))

series299.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* (- y x) (- z t))
149.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
116.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify55.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (12.0ms)

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

prune228.0ms

Filtered

90 candidates to 67 candidates (74.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	78	12	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	12	91

Merged error: 5.3b

Counts

91 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.3b	(/ (- y x) (/ (- a t) (- z t)))
2.8b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite91.0ms

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:

8.0ms	(/ (- a t) (- z t))
15.0ms	(/ (- y x) (/ (- a t) (- z t)))
42.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series400.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (- a t) (- z t))
199.0ms	(/ (- y x) (/ (- a t) (- z t)))
155.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify110.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (24.0ms)

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

prune571.0ms

Filtered

283 candidates to 172 candidates (60.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	275	8	283
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	281	14	295

Merged error: 4.8b

Counts

295 → 14

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.2b	(* (- a t) (/ 1 (- z t)))
1.3b	(/ (- y x) (* (- a t) (/ 1 (- z t))))
4.6b	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

rewrite48.0ms

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)))
14.0ms	(/ (- y x) (* (- a t) (/ 1 (- z t))))
8.0ms	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

series428.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ 1 (- z t))
45.0ms	(* (- a t) (/ 1 (- z t)))
196.0ms	(/ (- y x) (* (- a t) (/ 1 (- z t))))
150.0ms	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

simplify64.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (52.0ms)

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

prune276.0ms

Filtered

154 candidates to 95 candidates (61.7%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	152	2	154
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	152	16	168

Merged error: 4.8b

Counts

168 → 16

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.3b	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
1.3b	(/ (/ (- a t) (- z t)) (- y x))
5.5b	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

rewrite271.0ms

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:

8.0ms	(/ (- a t) (- z t))
36.0ms	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
16.0ms	(/ (/ (- a t) (- z t)) (- y x))
109.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

series678.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (- a t) (- z t))
299.0ms	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
157.0ms	(/ (/ (- a t) (- z t)) (- y x))
173.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

simplify175.0ms

Algorithm

egg-herbie

Counts

958 → 958

Iterations

Useful iterations: 1 (49.0ms)

Iter	Nodes	Cost
0	2354	13203
1	5001	11834

prune1.2s

Filtered

958 candidates to 359 candidates (37.5%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	957	1	958
Fresh	1	13	14
Picked	0	1	1
Done	0	1	1
Total	958	16	974

Merged error: 4.8b

Counts

974 → 16

regimes328.0ms

Accuracy

20.6% (6.0b remaining)

Error of 10.3b against oracle of 4.3b and baseline of 11.9b

bsearch82.0ms

Steps

Iters	Range		Point
5	7.431555642961486e-218	1.7685364410202061e-217	1.6385183959157036e-217
9	-9.014527214006478e-176	-4.346970502577621e-181	-6.953832909416628e-177

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	19
1	37	19

end0.0ms

sample711.0ms

Algorithm

intervals

Results

269.0ms	7806×	body	80	valid
58.0ms	484×	body	640	valid
46.0ms	270×	body	1280	valid
38.0ms	416×	body	320	valid
17.0ms	278×	body	160	valid
5.0ms	28×	body	2560	valid