Details

sample35.0ms

Algorithm

intervals

Results

10.0ms	262×	body	80	valid
2.0ms	15×	body	640	valid
2.0ms	9×	body	1280	valid
1.0ms	12×	body	320	valid
0.0ms	5×	body	160	valid
0.0ms	1×	body	2560	valid

simplify61.0ms

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: 23.2b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
1.8b	(+ x (/ (* (- y x) (- z t)) (- a t)))
16.6b	(/ (* (- y x) (- z t)) (- a t))

rewrite29.0ms

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

series91.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(* (- y x) (- z t))
51.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
31.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify63.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (11.0ms)

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

prune142.0ms

Filtered

90 candidates to 67 candidates (25.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	79	11	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	11	91

Merged error: 3.3b

Counts

91 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.8b	(+ x (/ (- y x) (/ (- a t) (- z t))))
2.9b	(/ (- y x) (/ (- a t) (- z t)))

rewrite85.0ms

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))
40.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
15.0ms	(/ (- y x) (/ (- a t) (- z t)))

series179.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/ (- a t) (- z t))
88.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
79.0ms	(/ (- y x) (/ (- a t) (- z t)))

simplify110.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (23.0ms)

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

prune227.0ms

Filtered

283 candidates to 172 candidates (39.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	276	7	283
Fresh	7	3	10
Picked	1	0	1
Done	0	0	0
Total	284	10	294

Merged error: 3.3b

Counts

294 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.8b	(- (+ x (/ y (/ (- a t) (- z t)))) (/ x (/ (- a t) (- z t))))
1.9b	(/ x (/ (- a t) (- z t)))
2.1b	(/ y (/ (- a t) (- z t)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

414×	`times-frac`
361×	`add-sqr-sqrt`
357×	`*-un-lft-identity`
168×	`add-cube-cbrt`
95×	`difference-of-squares`
94×	`distribute-lft-out--`
67×	`associate-/r*`
20×	`associate-/r/`
16×	`add-exp-log` `add-cbrt-cube`
11×	`flip3--` `flip--` `div-inv` `associate-/l*`
9×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`diff-log` `frac-sub` `associate-/l/`
1×	`sub-neg` `flip3-+` `div-sub` `associate--l+` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 357

Calls

4 calls:

7.0ms	(/ (- a t) (- z t))
57.0ms	(- (+ x (/ y (/ (- a t) (- z t)))) (/ x (/ (- a t) (- z t))))
11.0ms	(/ x (/ (- a t) (- z t)))
11.0ms	(/ y (/ (- a t) (- z t)))

series111.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ (- a t) (- z t))
48.0ms	(- (+ x (/ y (/ (- a t) (- z t)))) (/ x (/ (- a t) (- z t))))
29.0ms	(/ x (/ (- a t) (- z t)))
25.0ms	(/ y (/ (- a t) (- z t)))

simplify64.0ms

Algorithm

egg-herbie

Counts

369 → 369

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1125	3602
1	5001	3505

prune284.0ms

Filtered

369 candidates to 249 candidates (32.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	367	2	369
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	368	11	379

Merged error: 3.3b

Counts

379 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.8b	(+ x (* (- y x) (/ (- z t) (- a t))))
2.8b	(* (- y x) (/ (- z t) (- a t)))

rewrite31.0ms

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)))

series91.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- z t) (- a t))
48.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
33.0ms	(* (- y x) (/ (- z t) (- a t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (11.0ms)

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

prune90.0ms

Filtered

128 candidates to 87 candidates (32.0%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	128	11	139

Merged error: 3.3b

Counts

139 → 11

regimes489.0ms

Accuracy

-2.2% (7.5b remaining)

Error of 11.9b against oracle of 4.3b and baseline of 11.7b

bsearch34.0ms

Steps

Iters	Range		Point
5	1.031334720216339e+202	2.3720087535370007e+202	2.0529457264072294e+202
6	-9.066953034291846e+191	-1.3090548166706668e+191	-5.360701102529633e+191

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	26
1	37	26

end0.0ms

sample956.0ms

Algorithm

intervals

Results

295.0ms	7777×	body	80	valid
74.0ms	524×	body	640	valid
45.0ms	255×	body	1280	valid
42.0ms	396×	body	320	valid
21.0ms	293×	body	160	valid
2.0ms	11×	body	2560	valid

Details

sample35.0ms

simplify61.0ms

prune4.0ms

localize12.0ms

rewrite29.0ms

series91.0ms

simplify63.0ms

prune142.0ms

localize9.0ms

rewrite85.0ms

series179.0ms

simplify110.0ms

prune227.0ms

localize10.0ms

rewrite111.0ms

series111.0ms

simplify64.0ms

prune284.0ms

localize9.0ms

rewrite31.0ms

series91.0ms

simplify52.0ms

prune90.0ms

regimes489.0ms

bsearch34.0ms

simplify1.0ms

end0.0ms

sample956.0ms

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