Details

sample25.0ms

Algorithm

intervals

Results

8.0ms	273×	body	80	valid
1.0ms	4×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
0.5b	(/ (* 60.0 (- x y)) (- z t))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-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` `associate-/l` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

20.0ms	(* 60.0 (- x y))
47.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
23.0ms	(/ (* 60.0 (- x y)) (- z t))

series230.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* 60.0 (- x y))
129.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
67.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify46.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	367	404
1	1595	361
2	5002	361

prune183.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.0b	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
0.3b	(/ 60.0 (/ (- z t) (- x y)))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
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-+`

Counts

3 → 205

Calls

3 calls:

22.0ms	(/ (- z t) (- x y))
104.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
28.0ms	(/ 60.0 (/ (- z t) (- x y)))

series707.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (- z t) (- x y))
374.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
278.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify87.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	727	1908
1	3212	1851
2	5001	1849

prune528.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- x y))
0.0b	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
0.0b	(/ 60.0 (- z t))
0.3b	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

rewrite356.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
700×	`add-sqr-sqrt` `*-un-lft-identity`
420×	`add-cube-cbrt`
140×	`distribute-lft-out--` `difference-of-squares`
93×	`associate-/r/`
47×	`div-inv`
46×	`flip3--` `flip--`
32×	`add-exp-log`
31×	`associate-/r*`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `inv-pow`

Counts

4 → 596

Calls

4 calls:

13.0ms	(/ 1 (- x y))
239.0ms	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
11.0ms	(/ 60.0 (- z t))
44.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

series511.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ 1 (- x y))
156.0ms	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
44.0ms	(/ 60.0 (- z t))
276.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

simplify114.0ms

Algorithm

egg-herbie

Counts

608 → 608

Iterations

Useful iterations: 1 (45.0ms)

Iter	Nodes	Cost
0	2343	7712
1	5003	7154

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ (sqrt 60.0) (- z t)) (* (sqrt 60.0) (- x y))) (* a 120.0))
0.2b	(/ (sqrt 60.0) (- z t))
0.3b	(* (sqrt 60.0) (- x y))
0.4b	(* (/ (sqrt 60.0) (- z t)) (* (sqrt 60.0) (- x y)))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 172

Calls

4 calls:

45.0ms	(+ (* (/ (sqrt 60.0) (- z t)) (* (sqrt 60.0) (- x y))) (* a 120.0))
12.0ms	(/ (sqrt 60.0) (- z t))
24.0ms	(* (sqrt 60.0) (- x y))
66.0ms	(* (/ (sqrt 60.0) (- z t)) (* (sqrt 60.0) (- x y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

440.0ms	(+ (* (/ (sqrt 60.0) (- z t)) (* (sqrt 60.0) (- x y))) (* a 120.0))
83.0ms	(/ (sqrt 60.0) (- z t))
58.0ms	(* (sqrt 60.0) (- x y))
529.0ms	(* (/ (sqrt 60.0) (- z t)) (* (sqrt 60.0) (- x y)))

simplify90.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	619	1379
1	2940	1204
2	5002	1199

prune431.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes232.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample636.0ms

Algorithm

intervals

Results

261.0ms	8535×	body	80	valid
7.0ms	51×	body	1280	valid
5.0ms	29×	body	2560	valid
5.0ms	44×	body	640	valid
1.0ms	16×	body	320	valid
1.0ms	11×	body	160	valid

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6