Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

278×

body

valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	5
1	35	5
2	56	5
3	94	5
4	150	5
5	185	5
6	203	5
7	230	5
8	280	5
9	368	5
10	457	5
11	723	5
12	922	5
13	1038	5
14	1060	5
15	1060	5

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: 2.1b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.3b	(* y (/ (- z t) (- z a)))

rewrite52.0ms

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:

4.0ms	(+ x (* y (/ (- z t) (- z a))))
13.0ms	(/ (- z t) (- z a))
26.0ms	(* y (/ (- z t) (- z a)))

series178.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (* y (/ (- z t) (- z a))))
44.0ms	(/ (- z t) (- z a))
60.0ms	(* y (/ (- z t) (- z a)))

simplify48.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

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

prune247.0ms

Filtered

122 candidates to 83 candidates (68.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	113	9	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	113	10	123

Merged error: 0b

Counts

123 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.2b	(/ 1 (/ (- z a) (- z t)))
2.3b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

2.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
8.0ms	(/ (- z a) (- z t))
12.0ms	(/ 1 (/ (- z a) (- z t)))
29.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series325.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
46.0ms	(/ (- z a) (- z t))
93.0ms	(/ 1 (/ (- z a) (- z t)))
111.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify114.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	954	2833
1	4775	2544
2	5002	2258

prune695.0ms

Filtered

350 candidates to 184 candidates (52.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	348	2	350
Fresh	5	3	8
Picked	1	0	1
Done	1	0	1
Total	355	5	360

Merged error: 0b

Counts

360 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
2.3b	(/ y (/ (- z a) (- z t)))

rewrite58.0ms

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:

28.0ms	(+ x (/ y (/ (- z a) (- z t))))
7.0ms	(/ (- z a) (- z t))
11.0ms	(/ y (/ (- z a) (- z t)))

series218.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(+ x (/ y (/ (- z a) (- z t))))
41.0ms	(/ (- z a) (- z t))
104.0ms	(/ y (/ (- z a) (- z t)))

simplify84.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (60.0ms)

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

prune381.0ms

Filtered

215 candidates to 144 candidates (67.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	215	5	220

Merged error: 0b

Counts

220 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
0.0b	(/ (- z a) (- z t))
0.2b	(/ 1 (/ (/ (- z a) (- z t)) y))
2.3b	(/ (/ (- z a) (- z t)) y)

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac`
797×	`*-un-lft-identity`
794×	`add-sqr-sqrt`
450×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
39×	`associate-/l*`
35×	`associate-/r/`
32×	`add-exp-log`
24×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

4 → 624

Calls

4 calls:

67.0ms	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
8.0ms	(/ (- z a) (- z t))
23.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
12.0ms	(/ (/ (- z a) (- z t)) y)

series413.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
41.0ms	(/ (- z a) (- z t))
219.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
79.0ms	(/ (/ (- z a) (- z t)) y)

simplify119.0ms

Algorithm

egg-herbie

Counts

636 → 636

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	1829	7506
1	5002	6288

prune859.0ms

Filtered

636 candidates to 290 candidates (45.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	636	0	636
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	636	5	641

Merged error: 0b

Counts

641 → 5

regimes141.0ms

Accuracy

48.7% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.2b

bsearch88.0ms

Steps

Iters	Range		Point
9	2.7413777313647e-155	3.6329735733827265e-148	4.807799339602701e-154
9	-3.9119065816224897e-50	-8.919038368836158e-57	-9.028961556592578e-57

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	17
1	29	17

end0.0ms

sample551.0ms

Algorithm

intervals

Results

291.0ms	8744×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid