Details

sample24.0ms

Algorithm

intervals

Results

8.0ms	272×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

simplify56.0ms

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: 0.1b

localize10.0ms

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

rewrite95.0ms

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))
24.0ms	(* 60.0 (- x y))
23.0ms	(/ (* 60.0 (- x y)) (- z t))

series189.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
26.0ms	(* 60.0 (- x y))
53.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify47.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (10.0ms)

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

prune175.0ms

Pruning

4 alts after pruning (3 fresh and 1 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))
0.7b	(/ 60.0 (/ (- z t) (- x y)))

rewrite169.0ms

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:

108.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
22.0ms	(/ (- z t) (- x y))
28.0ms	(/ 60.0 (/ (- z t) (- x y)))

series425.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
44.0ms	(/ (- z t) (- x y))
246.0ms	(/ 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

prune526.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1 (/ (- z t) (* 60.0 (- x y)))) (* a 120.0))
0.0b	(* 60.0 (- x y))
0.2b	(/ (- z t) (* 60.0 (- x y)))
0.5b	(/ 1 (/ (- z t) (* 60.0 (- x y))))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 139

Calls

4 calls:

75.0ms	(+ (/ 1 (/ (- z t) (* 60.0 (- x y)))) (* a 120.0))
21.0ms	(* 60.0 (- x y))
26.0ms	(/ (- z t) (* 60.0 (- x y)))
31.0ms	(/ 1 (/ (- z t) (* 60.0 (- x y))))

series461.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(+ (/ 1 (/ (- z t) (* 60.0 (- x y)))) (* a 120.0))
26.0ms	(* 60.0 (- x y))
55.0ms	(/ (- z t) (* 60.0 (- x y)))
245.0ms	(/ 1 (/ (- z t) (* 60.0 (- x y))))

simplify70.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	561	1050
1	2686	875
2	5001	871

prune283.0ms

Pruning

4 alts after pruning (2 fresh and 2 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)))

rewrite107.0ms

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:

19.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
25.0ms	(/ (- x y) (- z t))
58.0ms	(* 60.0 (/ (- x y) (- z t)))

series208.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
45.0ms	(/ (- x y) (- z t))
55.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

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

prune284.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes197.0ms

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	15	6
1	15	6

end0.0ms

sample658.0ms

Algorithm

intervals

Results

266.0ms	8489×	body	80	valid
8.0ms	55×	body	1280	valid
4.0ms	39×	body	640	valid
4.0ms	21×	body	2560	valid
1.0ms	18×	body	320	valid
0.0ms	4×	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