Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

280×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	58	5
3	101	5
4	145	5
5	178	5
6	204	5
7	264	5
8	352	5
9	441	5
10	707	5
11	906	5
12	1022	5
13	1044	5
14	1044	5

prune2.0ms

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: 11.6b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `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` `associate-/l/`
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 → 67

Calls

3 calls:

7.0ms	(+ x (/ (* y (- z t)) (- z a)))
6.0ms	(* y (- z t))
9.0ms	(/ (* y (- z t)) (- z a))

series170.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (/ (* y (- z t)) (- z a)))
33.0ms	(* y (- z t))
63.0ms	(/ (* y (- z t)) (- z a))

simplify40.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	337	381
1	1443	342
2	5002	342

prune155.0ms

Filtered

76 candidates to 52 candidates (68.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	69	7	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	7	77

Merged error: 0.0b

Counts

77 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.0b	(* y (/ (- z t) (- z a)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `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 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- z a))))
8.0ms	(/ (- z t) (- z a))
13.0ms	(* y (/ (- z t) (- z a)))

series178.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (* y (/ (- z t) (- z a))))
45.0ms	(/ (- z t) (- z a))
60.0ms	(* y (/ (- z t) (- z a)))

simplify46.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	423	747
1	1655	704
2	5001	704

prune220.0ms

Filtered

122 candidates to 81 candidates (66.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	122	7	129

Merged error: 0.0b

Counts

129 → 7

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
1.1b	(/ y (/ (- z a) (- z t)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

27.0ms	(+ x (/ y (/ (- z a) (- z t))))
8.0ms	(/ (- z a) (- z t))
12.0ms	(/ y (/ (- z a) (- z t)))

series237.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ x (/ y (/ (- z a) (- z t))))
41.0ms	(/ (- z a) (- z t))
117.0ms	(/ y (/ (- z a) (- z t)))

simplify77.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	702	1885
1	3069	1832
2	5002	1829

prune437.0ms

Filtered

215 candidates to 144 candidates (67.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	217	5	222

Merged error: 0b

Counts

222 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ a (- z t))
0.0b	(+ x (/ y (- (/ z (- z t)) (/ a (- z t)))))
0.0b	(/ z (- z t))
1.1b	(/ y (- (/ z (- z t)) (/ a (- z t))))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

177×	`*-un-lft-identity`
156×	`times-frac`
135×	`add-sqr-sqrt`
56×	`distribute-lft-out--`
55×	`add-cube-cbrt`
32×	`difference-of-squares`
28×	`associate-/r*`
24×	`associate-/r/`
12×	`distribute-rgt-out--`
11×	`flip3--` `flip--` `div-inv`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`add-log-exp`
4×	`pow1`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `frac-sub` `flip-+` `distribute-lft-out` `sub-div`

Counts

4 → 177

Calls

4 calls:

6.0ms	(/ a (- z t))
54.0ms	(+ x (/ y (- (/ z (- z t)) (/ a (- z t)))))
6.0ms	(/ z (- z t))
33.0ms	(/ y (- (/ z (- z t)) (/ a (- z t))))

series261.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ a (- z t))
87.0ms	(+ x (/ y (- (/ z (- z t)) (/ a (- z t)))))
45.0ms	(/ z (- z t))
101.0ms	(/ y (- (/ z (- z t)) (/ a (- z t))))

simplify58.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	560	1492
1	2034	1453
2	5001	1450

prune366.0ms

Filtered

189 candidates to 137 candidates (72.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	189	5	194

Merged error: 0b

Counts

194 → 5

regimes123.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample504.0ms

Algorithm

intervals

Results

258.0ms	8719×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid