Details

sample31.0ms

Algorithm

intervals

Results

17.0ms	272×	body	80	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify63.0ms

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: 0.1b

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

rewrite45.0ms

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:

9.0ms	(* 60.0 (- x y))
24.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
10.0ms	(/ (* 60.0 (- x y)) (- z t))

series206.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* 60.0 (- x y))
121.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
57.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify49.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (12.0ms)

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

prune179.0ms

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	(/ (- z t) (- x y))
0.0b	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
1.4b	(/ 60.0 (/ (- z t) (- x y)))

rewrite110.0ms

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:

10.0ms	(/ (- z t) (- x y))
72.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
14.0ms	(/ 60.0 (/ (- z t) (- x y)))

series474.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (- z t) (- x y))
154.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
271.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (66.0ms)

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

prune539.0ms

Pruning

5 alts after pruning (5 fresh and 0 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))

rewrite43.0ms

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:

5.0ms	(/ 60.0 (- z t))
9.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
26.0ms	(* (/ 60.0 (- z t)) (- x y))

series466.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ 60.0 (- z t))
150.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
272.0ms	(* (/ 60.0 (- z t)) (- x y))

simplify53.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (13.0ms)

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

prune271.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 60.0 (- z t))
0.0b	(/ 60.0 (- z t))
0.2b	(* x (/ 60.0 (- z t)))
0.2b	(* y (/ 60.0 (- z t)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
62×	`times-frac`
44×	`add-cube-cbrt`
42×	`associate-r`
18×	`add-exp-log` `add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r*`
8×	`pow1` `associate-/r/`
6×	`associate-l` `associate-/l*`
4×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 154

Calls

4 calls:

5.0ms	(/ 60.0 (- z t))
5.0ms	(/ 60.0 (- z t))
18.0ms	(* x (/ 60.0 (- z t)))
15.0ms	(* y (/ 60.0 (- z t)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ 60.0 (- z t))
41.0ms	(/ 60.0 (- z t))
35.0ms	(* x (/ 60.0 (- z t)))
30.0ms	(* y (/ 60.0 (- z t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	361	774
1	1646	712
2	5001	712

prune439.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes267.0ms

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	18	9
1	18	9

end0.0ms

sample841.0ms

Algorithm

intervals

Results

521.0ms	8504×	body	80	valid
15.0ms	54×	body	1280	valid
9.0ms	29×	body	2560	valid
9.0ms	28×	body	640	valid
3.0ms	16×	body	320	valid
2.0ms	16×	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