Details

sample27.0ms

Algorithm

intervals

Results

10.0ms	250×	body	80	valid
3.0ms	19×	body	640	valid
1.0ms	12×	body	320	valid
1.0ms	3×	body	1280	valid
1.0ms	7×	body	160	valid

simplify70.0ms

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

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: 26.6b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
1.9b	(+ x (/ (* (- y x) (- z t)) (- a t)))
19.5b	(/ (* (- y x) (- z t)) (- a t))

rewrite31.0ms

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))
8.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
12.0ms	(/ (* (- y x) (- z t)) (- a t))

series295.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* (- y x) (- z t))
151.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
110.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify61.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (14.0ms)

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

prune236.0ms

Filtered

90 candidates to 67 candidates (74.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	80	10	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	10	91

Merged error: 4.1b

Counts

91 → 10

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.6b	(* (- y x) (/ (- z t) (- a t)))
1.9b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 119

Calls

3 calls:

8.0ms	(/ (- z t) (- a t))
17.0ms	(* (- y x) (/ (- z t) (- a t)))
4.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series309.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (- z t) (- a t))
109.0ms	(* (- y x) (/ (- z t) (- a t)))
153.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify62.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	476	869
1	2018	820
2	5002	820

prune252.0ms

Filtered

128 candidates to 85 candidates (66.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	124	4	128
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	126	12	138

Merged error: 4.0b

Counts

138 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.9b	(+ x (/ (- y x) (/ (- a t) (- z t))))
2.3b	(/ (- y x) (/ (- a t) (- z t)))

rewrite80.0ms

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))
41.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
15.0ms	(/ (- y x) (/ (- a t) (- z t)))

series382.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (- a t) (- z t))
143.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
192.0ms	(/ (- y x) (/ (- a t) (- z t)))

simplify109.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	1030	3053
1	4263	2984
2	5001	2984

prune508.0ms

Filtered

283 candidates to 172 candidates (60.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	280	3	283
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	283	12	295

Merged error: 4.0b

Counts

295 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.2b	(* (- a t) (/ 1 (- z t)))
2.3b	(/ (- y x) (* (- a t) (/ 1 (- z t))))
2.4b	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

rewrite44.0ms

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)))))

series420.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ 1 (- z t))
47.0ms	(* (- a t) (/ 1 (- z t)))
186.0ms	(/ (- y x) (* (- a t) (/ 1 (- z t))))
154.0ms	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

simplify68.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	559	958
1	2445	830
2	5002	783

prune313.0ms

Filtered

154 candidates to 93 candidates (60.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	153	13	166

Merged error: 4.0b

Counts

166 → 13

regimes307.0ms

Accuracy

41.7% (4.3b remaining)

Error of 8.7b against oracle of 4.4b and baseline of 11.8b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	24
1	36	24

end0.0ms

sample769.0ms

Algorithm

intervals

Results

302.0ms	7748×	body	80	valid
71.0ms	482×	body	640	valid
50.0ms	437×	body	320	valid
46.0ms	255×	body	1280	valid
22.0ms	269×	body	160	valid
2.0ms	7×	body	2560	valid

Details

sample27.0ms

simplify70.0ms

prune3.0ms

localize12.0ms

rewrite31.0ms

series295.0ms

simplify61.0ms

prune236.0ms

localize14.0ms

rewrite34.0ms

series309.0ms

simplify62.0ms

prune252.0ms

localize9.0ms

rewrite80.0ms

series382.0ms

simplify109.0ms

prune508.0ms

localize13.0ms

rewrite44.0ms

series420.0ms

simplify68.0ms

prune313.0ms

regimes307.0ms

bsearch2.0ms

simplify2.0ms

end0.0ms

sample769.0ms

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