Details

analyze983.0ms

Algorithm: search

sample28.0ms

Algorithm

intervals

Results

8.0ms	217×	body	80	valid
2.0ms	10×	body	1280	valid
2.0ms	11×	body	640	valid
1.0ms	9×	body	320	valid
1.0ms	24×	body	80	invalid
1.0ms	9×	body	160	valid

simplify120.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	6
1	52	6
2	109	6
3	195	6
4	445	6
5	828	6
6	1434	6
7	2520	6
8	4830	6
9	5001	6

prune4.0ms

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: 16.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
2.7b	(- (+ x y) (/ (* (- z t) y) (- a t)))
12.0b	(/ (* (- z t) y) (- a t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

6.0ms	(* (- z t) y)
9.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
8.0ms	(/ (* (- z t) y) (- a t))

series59.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* (- z t) y)
34.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
19.0ms	(/ (* (- z t) y) (- a t))

simplify47.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	383	461
1	1704	422
2	5001	422

prune132.0ms

Filtered

56 candidates to 79 candidates (-41.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	70	9	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	9	80

Merged error: 3.2b

Counts

80 → 9

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- a t))
3.2b	(- (+ x y) (* (- z t) (/ y (- a t))))
9.0b	(* (- z t) (/ y (- a t)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 107

Calls

3 calls:

5.0ms	(/ y (- a t))
6.0ms	(- (+ x y) (* (- z t) (/ y (- a t))))
12.0ms	(* (- z t) (/ y (- a t)))

series60.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ y (- a t))
37.0ms	(- (+ x y) (* (- z t) (/ y (- a t))))
15.0ms	(* (- z t) (/ y (- a t)))

simplify67.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	559	844
1	2676	803
2	5001	803

prune139.0ms

Filtered

84 candidates to 116 candidates (-38.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	112	4	116
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	115	10	125

Merged error: 3.2b

Counts

125 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* y (/ 1 (- a t)))
3.9b	(- (+ x y) (* (- z t) (* y (/ 1 (- a t)))))
9.0b	(* (- z t) (* y (/ 1 (- a t))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 147

Calls

4 calls:

5.0ms	(/ 1 (- a t))
9.0ms	(* y (/ 1 (- a t)))
7.0ms	(- (+ x y) (* (- z t) (* y (/ 1 (- a t)))))
14.0ms	(* (- z t) (* y (/ 1 (- a t))))

series63.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1 (- a t))
7.0ms	(* y (/ 1 (- a t)))
36.0ms	(- (+ x y) (* (- z t) (* y (/ 1 (- a t)))))
15.0ms	(* (- z t) (* y (/ 1 (- a t))))

simplify84.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	676	1149
1	3060	1038
2	5002	989

prune148.0ms

Filtered

91 candidates to 159 candidates (-74.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	159	10	169

Merged error: 3.2b

Counts

169 → 10

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
3.4b	(- (+ x y) (/ (- z t) (/ (- a t) y)))
9.8b	(/ (- z t) (/ (- a t) y))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

203×	`times-frac`
180×	`add-sqr-sqrt`
176×	`*-un-lft-identity`
87×	`add-cube-cbrt`
45×	`difference-of-squares`
44×	`distribute-lft-out--`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `flip3--` `div-sub` `flip--`
2×	`frac-2neg` `diff-log` `clear-num` `frac-sub`
1×	`sub-neg` `flip3-+` `associate--l+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out` `associate--r-`

Counts

3 → 197

Calls

3 calls:

7.0ms	(/ (- a t) y)
31.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
10.0ms	(/ (- z t) (/ (- a t) y))

series66.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ (- a t) y)
34.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
25.0ms	(/ (- z t) (/ (- a t) y))

simplify87.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	853	1851
1	3326	1798
2	5001	1798

prune144.0ms

Filtered

138 candidates to 206 candidates (-49.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	205	1	206
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	206	10	216

Merged error: 3.2b

Counts

216 → 10

regimes593.0ms

Accuracy

41.1% (4.3b remaining)

Error of 8.7b against oracle of 4.4b and baseline of 11.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	28
1	34	28

end0.0ms

analyze979.0ms

Algorithm: search

sample759.0ms

Algorithm

intervals

Results

260.0ms	6576×	body	80	valid
67.0ms	450×	body	640	valid
53.0ms	276×	body	1280	valid
48.0ms	412×	body	320	valid
35.0ms	743×	body	80	invalid
20.0ms	273×	body	160	valid
3.0ms	13×	body	2560	valid

Details

analyze983.0ms

sample28.0ms

simplify120.0ms

prune4.0ms

localize9.0ms

rewrite25.0ms

series59.0ms

simplify47.0ms

prune132.0ms

localize13.0ms

rewrite26.0ms

series60.0ms

simplify67.0ms

prune139.0ms

localize11.0ms

rewrite41.0ms

series63.0ms

simplify84.0ms

prune148.0ms

localize12.0ms

rewrite58.0ms

series66.0ms

simplify87.0ms

prune144.0ms

regimes593.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

analyze979.0ms

sample759.0ms

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