Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

271×

body

valid

simplify106.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	8
1	37	8
2	65	8
3	94	8
4	108	8
5	132	8
6	201	8
7	359	8
8	825	8
9	3212	8
10	5001	8

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: 26.2b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.0b	(+ (* x y) (* z (- t a)))
0.0b	(* z (- t a))
25.2b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

6.0ms	(* z (- b y))
4.0ms	(+ (* x y) (* z (- t a)))
6.0ms	(* z (- t a))
7.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series392.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* z (- b y))
38.0ms	(+ (* x y) (* z (- t a)))
35.0ms	(* z (- t a))
284.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify52.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	401	714
1	1759	659
2	5001	659

prune270.0ms

Filtered

110 candidates to 74 candidates (67.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	100	10	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	10	111

Merged error: 25.4b

Counts

111 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z (- t a)))
0.0b	(* z (- t a))
0.5b	(/ 1 (+ y (* z (- b y))))
25.0b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac` `associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`flip3-+` `prod-exp` `flip-+`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `div-exp` `associate-/r/` `unswap-sqr`
3×	`associate-r/` `associate-/r` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `flip3--` `pow-flip` `frac-2neg` `clear-num` `sum-log` `un-div-inv` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

4.0ms	(+ (* x y) (* z (- t a)))
6.0ms	(* z (- t a))
5.0ms	(/ 1 (+ y (* z (- b y))))
10.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series442.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* x y) (* z (- t a)))
33.0ms	(* z (- t a))
76.0ms	(/ 1 (+ y (* z (- b y))))
296.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify64.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	448	957
1	2212	849
2	5002	823

prune260.0ms

Filtered

128 candidates to 79 candidates (61.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	125	3	128
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	128	10	138

Merged error: 25.4b

Counts

138 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z (- t a)))
0.0b	(* z (- t a))
0.3b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
25.2b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 156

Calls

4 calls:

4.0ms	(+ (* x y) (* z (- t a)))
181.0ms	(* z (- t a))
8.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
7.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.1s

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* x y) (* z (- t a)))
36.0ms	(* z (- t a))
742.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
250.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify78.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	570	2054
1	2752	1881
2	5001	1793

prune322.0ms

Filtered

168 candidates to 96 candidates (57.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	166	2	168
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	167	11	178

Merged error: 25.4b

Counts

178 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.2b	(/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
0.3b	(/ 1 (/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))))
25.2b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

528×	`times-frac`
261×	`add-sqr-sqrt`
259×	`*-un-lft-identity`
257×	`add-cube-cbrt`
68×	`associate-/r*`
62×	`add-exp-log`
43×	`div-exp`
40×	`associate-/r/`
23×	`div-inv`
22×	`add-cbrt-cube`
18×	`flip3-+` `flip-+`
15×	`rec-exp` `1-exp`
10×	`cbrt-undiv`
9×	`pow1` `associate-/l*`
5×	`pow-flip` `associate-r`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num` `inv-pow`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `associate-/l/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `remove-double-div` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 384

Calls

4 calls:

6.0ms	(* z (- t a))
8.0ms	(/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
17.0ms	(/ 1 (/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))))
7.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series744.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* z (- t a))
127.0ms	(/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
291.0ms	(/ 1 (/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))))
291.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify90.0ms

Algorithm

egg-herbie

Counts

396 → 396

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1261	6655
1	5001	5710

prune658.0ms

Filtered

396 candidates to 198 candidates (50.0%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	396	0	396
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	396	11	407

Merged error: 25.4b

Counts

407 → 11

regimes369.0ms

Accuracy

0% (0.7b remaining)

Error of 23.0b against oracle of 22.3b and baseline of 23.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	10
1	24	10

end0.0ms

sample640.0ms

Algorithm

intervals

Results

347.0ms

8399×

body

valid