Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	268×	body	80	valid
1.0ms	5×	body	1280	valid

simplify62.0ms

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: 0.2b

localize9.0ms

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))
0.3b	(/ (* 60.0 (- x y)) (- z t))

rewrite44.0ms

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:

10.0ms	(* 60.0 (- x y))
22.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
9.0ms	(/ (* 60.0 (- x y)) (- z t))

series213.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* 60.0 (- x y))
118.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
62.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify46.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (10.0ms)

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

prune200.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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))
0.6b	(/ 60.0 (/ (- z t) (- x y)))

rewrite112.0ms

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:

11.0ms	(/ (- z t) (- x y))
75.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
14.0ms	(/ 60.0 (/ (- z t) (- x y)))

series477.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (- z t) (- x y))
147.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
278.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify84.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (64.0ms)

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

prune569.0ms

Pruning

9 alts after pruning (7 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)))

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:

8.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
11.0ms	(/ (- x y) (- z t))
27.0ms	(* 60.0 (/ (- x y) (- z t)))

series227.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
48.0ms	(/ (- x y) (- z t))
62.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (13.0ms)

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

prune315.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1 (/ (/ (- z t) (- x y)) 60.0)) (* a 120.0))
0.0b	(/ (- z t) (- x y))
0.2b	(/ (/ (- z t) (- x y)) 60.0)
0.6b	(/ 1 (/ (/ (- z t) (- x y)) 60.0))

rewrite308.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac`
794×	`add-sqr-sqrt` `*-un-lft-identity`
450×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
39×	`associate-/l*`
35×	`associate-/r/`
32×	`add-exp-log`
23×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

4 → 622

Calls

4 calls:

187.0ms	(+ (/ 1 (/ (/ (- z t) (- x y)) 60.0)) (* a 120.0))
11.0ms	(/ (- z t) (- x y))
20.0ms	(/ (/ (- z t) (- x y)) 60.0)
35.0ms	(/ 1 (/ (/ (- z t) (- x y)) 60.0))

series547.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(+ (/ 1 (/ (/ (- z t) (- x y)) 60.0)) (* a 120.0))
54.0ms	(/ (- z t) (- x y))
62.0ms	(/ (/ (- z t) (- x y)) 60.0)
284.0ms	(/ 1 (/ (/ (- z t) (- x y)) 60.0))

simplify115.0ms

Algorithm

egg-herbie

Counts

634 → 634

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	1854	7523
1	5001	6301

prune1.2s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes438.0ms

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

sample562.0ms

Algorithm

intervals

Results

283.0ms	8513×	body	80	valid
6.0ms	40×	body	1280	valid
5.0ms	39×	body	640	valid
5.0ms	24×	body	2560	valid
2.0ms	25×	body	320	valid
1.0ms	10×	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