Details

sample24.0ms

Algorithm

intervals

Results

7.0ms	235×	body	80	valid
2.0ms	15×	body	640	valid
2.0ms	11×	body	1280	valid
1.0ms	9×	body	320	valid
0.0ms	5×	body	160	valid

simplify147.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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	5003	6

prune3.0ms

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: 16.1b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
1.5b	(- (+ x y) (/ (* (- z t) y) (- a t)))
10.8b	(/ (* (- z t) y) (- a t))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

125×	`add-sqr-sqrt`
103×	`*-un-lft-identity`
72×	`times-frac`
48×	`frac-sub`
46×	`add-cube-cbrt`
45×	`associate-l`
42×	`associate-/l*`
29×	`difference-of-squares`
28×	`distribute-lft-out--`
27×	`associate-r`
24×	`flip3-+` `flip-+`
15×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `unswap-sqr`
9×	`*-commutative`
8×	`associate-*l/` `add-log-exp`
6×	`flip3--` `flip--` `associate-/l/`
5×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`cbrt-undiv` `diff-log` `div-exp` `prod-exp` `associate--l+` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `sub-neg` `pow-prod-down` `sum-log` `div-inv` `distribute-lft-out`

Counts

3 → 197

Calls

3 calls:

6.0ms	(* (- z t) y)
35.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
13.0ms	(/ (* (- z t) y) (- a t))

series215.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* (- z t) y)
119.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
65.0ms	(/ (* (- z t) y) (- a t))

simplify56.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1031	2257
1	5002	2204

prune408.0ms

Filtered

206 candidates to 142 candidates (31.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	195	11	206
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	196	11	207

Merged error: 4.1b

Counts

207 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.9b	(* y (/ (- z t) (- a t)))
1.5b	(- (+ x y) (* y (/ (- z t) (- a t))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 177

Calls

3 calls:

8.0ms	(/ (- z t) (- a t))
19.0ms	(* y (/ (- z t) (- a t)))
28.0ms	(- (+ x y) (* y (/ (- z t) (- a t))))

series245.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (- z t) (- a t))
70.0ms	(* y (/ (- z t) (- a t)))
120.0ms	(- (+ x y) (* y (/ (- z t) (- a t))))

simplify117.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	772	1672
1	3645	1627
2	5001	1627

prune319.0ms

Filtered

186 candidates to 117 candidates (37.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	181	5	186
Fresh	8	2	10
Picked	1	0	1
Done	0	0	0
Total	190	7	197

Merged error: 4.1b

Counts

197 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.9b	(* y (/ (- z t) (- a t)))
2.8b	(- y (* y (/ (- z t) (- a t))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

93×	`add-sqr-sqrt`
85×	`*-un-lft-identity`
52×	`times-frac`
31×	`add-cube-cbrt` `associate-r`
29×	`distribute-lft-out--`
27×	`difference-of-squares`
15×	`associate-*r/`
12×	`associate-/l*`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
6×	`associate-l`
5×	`pow1` `flip3--` `flip--` `add-log-exp`
4×	`associate-/r/` `associate-/l/` `unswap-sqr`
3×	`clear-num` `un-div-inv`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv`
1×	`sub-neg` `distribute-rgt-out--` `diff-log` `div-sub` `pow-prod-down`

Counts

3 → 139

Calls

3 calls:

8.0ms	(/ (- z t) (- a t))
20.0ms	(* y (/ (- z t) (- a t)))
20.0ms	(- y (* y (/ (- z t) (- a t))))

series219.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (- z t) (- a t))
72.0ms	(* y (/ (- z t) (- a t)))
95.0ms	(- y (* y (/ (- z t) (- a t))))

simplify68.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	454	874
1	1865	830
2	5002	827

prune260.0ms

Filtered

148 candidates to 99 candidates (33.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	142	6	148
Fresh	5	1	6
Picked	1	0	1
Done	0	0	0
Total	148	7	155

Merged error: 4.0b

Counts

155 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.1b	(/ y (/ (- a t) (- z t)))
2.8b	(- y (/ y (/ (- a t) (- z t))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

221×	`times-frac`
210×	`add-sqr-sqrt`
203×	`*-un-lft-identity`
93×	`add-cube-cbrt`
57×	`difference-of-squares`
55×	`distribute-lft-out--`
41×	`associate-/r*`
25×	`associate-/r/`
13×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `frac-2neg` `clear-num`
1×	`sub-neg` `diff-log` `div-sub`

Counts

3 → 224

Calls

3 calls:

8.0ms	(/ (- a t) (- z t))
14.0ms	(/ y (/ (- a t) (- z t)))
37.0ms	(- y (/ y (/ (- a t) (- z t))))

series357.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (- a t) (- z t))
161.0ms	(/ y (/ (- a t) (- z t)))
140.0ms	(- y (/ y (/ (- a t) (- z t))))

simplify106.0ms

Algorithm

egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	705	1990
1	3124	1939
2	5001	1937

prune406.0ms

Filtered

233 candidates to 157 candidates (32.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	232	1	233
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	233	7	240

Merged error: 4.0b

Counts

240 → 7

regimes161.0ms

Accuracy

0% (3.1b remaining)

Error of 7.3b against oracle of 4.2b and baseline of 7.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

end0.0ms

sample671.0ms

Algorithm

intervals

Results

246.0ms	7263×	body	80	valid
59.0ms	479×	body	640	valid
41.0ms	281×	body	1280	valid
36.0ms	406×	body	320	valid
16.0ms	255×	body	160	valid
2.0ms	13×	body	2560	valid