Details

sample21.0ms

Algorithm

intervals

Results

8.0ms	268×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

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:

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

series206.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
28.0ms	(* 60.0 (- x y))
59.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify45.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	367	404
1	1595	361
2	5001	361

prune183.0ms

Filtered

75 candidates to 52 candidates (69.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))
0.5b	(/ 60.0 (/ (- z t) (- x y)))

rewrite111.0ms

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:

72.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
10.0ms	(/ (- z t) (- x y))
17.0ms	(/ 60.0 (/ (- z t) (- x y)))

series478.0ms

Counts

3 → 9

Calls

3 calls:

150.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
54.0ms	(/ (- z t) (- x y))
274.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify79.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (60.0ms)

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

prune537.0ms

Filtered

214 candidates to 145 candidates (67.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite49.0ms

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:

8.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
10.0ms	(/ (- x y) (- z t))
23.0ms	(* 60.0 (/ (- x y) (- z t)))

series227.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
53.0ms	(/ (- x y) (- z t))
56.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (12.0ms)

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

prune295.0ms

Filtered

122 candidates to 83 candidates (68.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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)))

rewrite318.0ms

Algorithm

rewrite-expression-head

Rules

1116×	`times-frac`
681×	`add-sqr-sqrt` `*-un-lft-identity`
409×	`add-cube-cbrt`
136×	`distribute-lft-out--` `difference-of-squares`
91×	`associate-/r/`
46×	`div-inv`
45×	`flip3--` `flip--`
27×	`add-exp-log`
26×	`associate-/r*`
24×	`associate-/l*`
17×	`div-exp` `add-cbrt-cube`
9×	`cbrt-undiv`
5×	`add-log-exp`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `associate-/l/`

Counts

3 → 555

Calls

3 calls:

234.0ms	(+ (/ (/ 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)))

series471.0ms

Counts

3 → 9

Calls

3 calls:

153.0ms	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
41.0ms	(/ 60.0 (- z t))
277.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

simplify114.0ms

Algorithm

egg-herbie

Counts

564 → 564

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	2329	7521
1	5001	6985

prune1.2s

Filtered

564 candidates to 287 candidates (50.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes198.0ms

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

sample557.0ms

Algorithm

intervals

Results

285.0ms	8609×	body	80	valid
8.0ms	52×	body	1280	valid
5.0ms	25×	body	2560	valid
4.0ms	30×	body	640	valid
1.0ms	16×	body	320	valid
1.0ms	9×	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