Details

sample25.0ms

Algorithm

intervals

Results

12.0ms	274×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify58.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

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))
0.7b	(/ (* 60.0 (- x y)) (- z t))

rewrite42.0ms

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:

9.0ms	(* 60.0 (- x y))
21.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
9.0ms	(/ (* 60.0 (- x y)) (- z t))

series214.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* 60.0 (- x y))
119.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
61.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify48.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (11.0ms)

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

prune199.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite118.0ms

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:

75.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
11.0ms	(/ (- z t) (- x y))
18.0ms	(/ 60.0 (/ (- z t) (- x y)))

series494.0ms

Counts

3 → 9

Calls

3 calls:

157.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
57.0ms	(/ (- z t) (- x y))
280.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify86.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (66.0ms)

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

prune584.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

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:

12.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
11.0ms	(/ (- x y) (- z t))
24.0ms	(* 60.0 (/ (- x y) (- z t)))

series235.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
55.0ms	(/ (- x y) (- z t))
59.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	448	775
1	1788	728
2	5002	728

prune332.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite309.0ms

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:

6.0ms	(/ 1 (- x y))
215.0ms	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
5.0ms	(/ 60.0 (- z t))
26.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

series524.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ 1 (- x y))
151.0ms	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
48.0ms	(/ 60.0 (- z t))
285.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

simplify122.0ms

Algorithm

egg-herbie

Counts

608 → 608

Iterations

Useful iterations: 1 (46.0ms)

Iter	Nodes	Cost
0	2343	7712
1	5002	7156

prune1.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes215.0ms

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

sample569.0ms

Algorithm

intervals

Results

294.0ms	8489×	body	80	valid
9.0ms	59×	body	1280	valid
4.0ms	36×	body	640	valid
3.0ms	18×	body	2560	valid
1.0ms	14×	body	320	valid
0.0ms	3×	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