Details

sample36.0ms

Algorithm

intervals

Results

10.0ms	251×	body	80	valid
2.0ms	16×	body	640	valid
2.0ms	12×	body	1280	valid
1.0ms	8×	body	320	valid
0.0ms	6×	body	160	valid
0.0ms	1×	body	2560	valid

simplify62.0ms

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

prune4.0ms

Filtered

1 candidates to 0 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: 23.8b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.1b	(+ x (/ (* (- y x) (- z t)) (- a t)))
17.0b	(/ (* (- y x) (- z t)) (- a t))

rewrite32.0ms

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:

8.0ms	(* (- y x) (- z t))
7.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
15.0ms	(/ (* (- y x) (- z t)) (- a t))

series93.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(* (- y x) (- z t))
52.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
32.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify51.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (11.0ms)

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

prune149.0ms

Filtered

90 candidates to 67 candidates (25.6%)

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: 4.3b

Counts

91 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.1b	(+ x (* (- y x) (/ (- z t) (- a t))))
2.2b	(* (- y x) (/ (- z t) (- a t)))

rewrite32.0ms

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:

7.0ms	(/ (- z t) (- a t))
3.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
16.0ms	(* (- y x) (/ (- z t) (- a t)))

series97.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- z t) (- a t))
51.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
36.0ms	(* (- y x) (/ (- z t) (- a t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (13.0ms)

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

prune153.0ms

Filtered

128 candidates to 82 candidates (35.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	120	8	128
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	126	12	138

Merged error: 4.3b

Counts

138 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.1b	(+ x (/ (- y x) (/ (- a t) (- z t))))
2.3b	(/ (- y x) (/ (- a t) (- z t)))

rewrite81.0ms

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)))

series106.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- a t) (- z t))
50.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
47.0ms	(/ (- y x) (/ (- a t) (- z t)))

simplify101.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (21.0ms)

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

prune257.0ms

Filtered

283 candidates to 172 candidates (39.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	278	5	283
Fresh	4	7	11
Picked	0	1	1
Done	0	0	0
Total	282	13	295

Merged error: 4.3b

Counts

295 → 13

localize11.0ms

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))))
4.3b	(+ 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))
15.0ms	(* (- a t) (/ 1 (- z t)))
14.0ms	(/ (- y x) (* (- a t) (/ 1 (- z t))))
8.0ms	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

series111.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1 (- z t))
9.0ms	(* (- a t) (/ 1 (- z t)))
47.0ms	(/ (- y x) (* (- a t) (/ 1 (- z t))))
50.0ms	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (51.0ms)

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

prune122.0ms

Filtered

154 candidates to 92 candidates (40.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	151	3	154
Fresh	1	10	11
Picked	1	0	1
Done	0	1	1
Total	153	14	167

Merged error: 4.3b

Counts

167 → 14

regimes598.0ms

Accuracy

-2.6% (7.9b remaining)

Error of 12.1b against oracle of 4.2b and baseline of 11.9b

bsearch54.0ms

Steps

Iters	Range	Point
8	4.484115739057168e+215	2.6041511641550094e+219	1.4625869910697464e+219
7	-2.0609565390376278e-82	-2.280042147907739e-84	-6.985346517373046e-84
3	-2.1812062030973095e+166	-1.5791695264826115e+166	-1.6167968187710304e+166

Iters

Range

Point

4.484115739057168e+215

2.6041511641550094e+219

1.4625869910697464e+219

-2.0609565390376278e-82

-2.280042147907739e-84

-6.985346517373046e-84

-2.1812062030973095e+166

-1.5791695264826115e+166

-1.6167968187710304e+166

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	18
1	35	18

end0.0ms

sample1.0s

Algorithm

intervals

Results

313.0ms	7781×	body	80	valid
72.0ms	474×	body	640	valid
54.0ms	265×	body	1280	valid
48.0ms	415×	body	320	valid
22.0ms	292×	body	160	valid
6.0ms	25×	body	2560	valid

Details

sample36.0ms

simplify62.0ms

prune4.0ms

localize9.0ms

rewrite32.0ms

series93.0ms

simplify51.0ms

prune149.0ms

localize9.0ms

rewrite32.0ms

series97.0ms

simplify57.0ms

prune153.0ms

localize9.0ms

rewrite81.0ms

series106.0ms

simplify101.0ms

prune257.0ms

localize11.0ms

rewrite47.0ms

series111.0ms

simplify62.0ms

prune122.0ms

regimes598.0ms

bsearch54.0ms

simplify1.0ms

end0.0ms

sample1.0s

Profiling