Details

sample28.0ms

Algorithm

intervals

Results

11.0ms	276×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

simplify61.0ms

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: 0.4b

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))
0.4b	(/ (* 60.0 (- x y)) (- z t))

rewrite89.0ms

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:

20.0ms	(* 60.0 (- x y))
45.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
22.0ms	(/ (* 60.0 (- x y)) (- z t))

series228.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* 60.0 (- x y))
129.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
67.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify43.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (10.0ms)

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

prune170.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))
0.5b	(/ 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:

23.0ms	(/ (- z t) (- x y))
105.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
26.0ms	(/ 60.0 (/ (- z t) (- x y)))

series483.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- z t) (- x y))
155.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
276.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify79.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (61.0ms)

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

prune520.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

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:

11.0ms	(/ 60.0 (- z t))
20.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
46.0ms	(* (/ 60.0 (- z t)) (- x y))

series496.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ 60.0 (- z t))
160.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
289.0ms	(* (/ 60.0 (- z t)) (- x y))

simplify49.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (12.0ms)

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

prune268.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.0b	(+ (* (sqrt 60.0) (/ (sqrt 60.0) (/ (- z t) (- x y)))) (* a 120.0))
0.4b	(* (sqrt 60.0) (/ (sqrt 60.0) (/ (- z t) (- x y))))
0.5b	(/ (sqrt 60.0) (/ (- z t) (- x y)))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

734×	`times-frac`
604×	`add-sqr-sqrt`
572×	`*-un-lft-identity`
288×	`add-cube-cbrt`
201×	`sqrt-prod`
191×	`associate-r`
142×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
30×	`associate-/r/`
20×	`add-exp-log` `add-cbrt-cube`
16×	`div-inv`
15×	`flip3--` `flip--`
11×	`associate-/l*`
10×	`unswap-sqr`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `associate-l` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `-commutative` `flip-+`

Counts

4 → 524

Calls

4 calls:

21.0ms	(/ (- z t) (- x y))
36.0ms	(+ (* (sqrt 60.0) (/ (sqrt 60.0) (/ (- z t) (- x y)))) (* a 120.0))
108.0ms	(* (sqrt 60.0) (/ (sqrt 60.0) (/ (- z t) (- x y))))
31.0ms	(/ (sqrt 60.0) (/ (- z t) (- x y)))

series1.5s

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (- z t) (- x y))
456.0ms	(+ (* (sqrt 60.0) (/ (sqrt 60.0) (/ (- z t) (- x y)))) (* a 120.0))
574.0ms	(* (sqrt 60.0) (/ (sqrt 60.0) (/ (- z t) (- x y))))
381.0ms	(/ (sqrt 60.0) (/ (- z t) (- x y)))

simplify84.0ms

Algorithm

egg-herbie

Counts

536 → 536

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1285	5594
1	5001	5284

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes373.0ms

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	16	6
1	16	6

end0.0ms

sample657.0ms

Algorithm

intervals

Results

276.0ms	8535×	body	80	valid
6.0ms	31×	body	2560	valid
5.0ms	34×	body	1280	valid
4.0ms	36×	body	640	valid
2.0ms	19×	body	320	valid
1.0ms	15×	body	160	valid
0.0ms	2×	body	5120	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