Details

sample24.0ms

Algorithm

intervals

Results

8.0ms	271×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

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))
1.0b	(/ (* 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:

45.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
23.0ms	(* 60.0 (- x y))
22.0ms	(/ (* 60.0 (- x y)) (- z t))

series191.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
26.0ms	(* 60.0 (- x y))
53.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify45.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (10.0ms)

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

prune178.0ms

Pruning

8 alts after pruning (8 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))
0.8b	(/ 60.0 (/ (- z t) (- x y)))

rewrite167.0ms

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:

106.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
22.0ms	(/ (- z t) (- x y))
27.0ms	(/ 60.0 (/ (- z t) (- x y)))

series427.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
47.0ms	(/ (- z t) (- x y))
245.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify81.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (62.0ms)

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

prune523.0ms

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	(/ 60.0 (- z t))
0.2b	(* (/ 60.0 (- z t)) (- x y))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-r` `associate-/r*` `add-log-exp`
4×	`distribute-rgt-in` `sub-neg` `associate-+l+` `flip3--` `distribute-lft-in` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 102

Calls

3 calls:

22.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
11.0ms	(/ 60.0 (- z t))
47.0ms	(* (/ 60.0 (- z t)) (- x y))

series415.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
39.0ms	(/ 60.0 (- z t))
245.0ms	(* (/ 60.0 (- z t)) (- x y))

simplify48.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	446	649
1	1793	601
2	5001	601

prune261.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- x y))
0.0b	(/ t (- x y))
0.0b	(- (/ z (- x y)) (/ t (- x y)))
0.8b	(/ 60.0 (- (/ z (- x y)) (/ t (- x y))))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

203×	`*-un-lft-identity`
174×	`times-frac`
153×	`add-sqr-sqrt`
68×	`distribute-lft-out--`
57×	`add-cube-cbrt`
38×	`difference-of-squares`
28×	`associate-/r*` `associate-/r/`
15×	`distribute-rgt-out--`
14×	`flip3--` `flip--`
13×	`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`
2×	`frac-sub` `sub-div`
1×	`sub-neg` `diff-log`

Counts

4 → 194

Calls

4 calls:

11.0ms	(/ z (- x y))
11.0ms	(/ t (- x y))
81.0ms	(- (/ z (- x y)) (/ t (- x y)))
109.0ms	(/ 60.0 (- (/ z (- x y)) (/ t (- x y))))

series224.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ z (- x y))
28.0ms	(/ t (- x y))
96.0ms	(- (/ z (- x y)) (/ t (- x y)))
74.0ms	(/ 60.0 (- (/ z (- x y)) (/ t (- x y))))

simplify57.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	511	1605
1	1850	1554
2	5001	1538

prune527.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes349.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

sample647.0ms

Algorithm

intervals

Results

269.0ms	8512×	body	80	valid
6.0ms	45×	body	1280	valid
6.0ms	34×	body	2560	valid
5.0ms	43×	body	640	valid
2.0ms	20×	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