Details

sample35.0ms

Algorithm

intervals

Results

12.0ms	274×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	640	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: 0.2b

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

rewrite86.0ms

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))
43.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
21.0ms	(/ (* 60.0 (- x y)) (- z t))

series226.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* 60.0 (- x y))
128.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
65.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify47.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (11.0ms)

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

prune178.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite90.0ms

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:

23.0ms	(/ (- x y) (- z t))
18.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
44.0ms	(* 60.0 (/ (- x y) (- z t)))

series251.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- x y) (- z t))
130.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
67.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (12.0ms)

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

prune290.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t)) (* a 120.0))
0.2b	(* (sqrt 60.0) (- x y))
0.2b	(/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t))
0.3b	(* (sqrt 60.0) (* (sqrt 60.0) (- x y)))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

63.0ms	(+ (/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t)) (* a 120.0))
24.0ms	(* (sqrt 60.0) (- x y))
46.0ms	(/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t))
39.0ms	(* (sqrt 60.0) (* (sqrt 60.0) (- x y)))

series716.0ms

Counts

4 → 12

Calls

4 calls:

349.0ms	(+ (/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t)) (* a 120.0))
61.0ms	(* (sqrt 60.0) (- x y))
210.0ms	(/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t))
96.0ms	(* (sqrt 60.0) (* (sqrt 60.0) (- x y)))

simplify70.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	454	760
1	2311	638
2	5002	626

prune264.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite344.0ms

Algorithm

rewrite-expression-head

Rules

1183×	`times-frac`
806×	`add-sqr-sqrt` `*-un-lft-identity`
450×	`add-cube-cbrt`
178×	`distribute-lft-out--` `difference-of-squares`
109×	`associate-/r*`
33×	`div-inv`
32×	`add-exp-log`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
11×	`associate-/r/`
10×	`cbrt-undiv`
6×	`flip3--` `flip--` `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 → 618

Calls

4 calls:

16.0ms	(/ (- z t) 60.0)
204.0ms	(+ (/ 1 (/ (/ (- z t) 60.0) (- x y))) (* a 120.0))
29.0ms	(/ (/ (- z t) 60.0) (- x y))
40.0ms	(/ 1 (/ (/ (- z t) 60.0) (- x y)))

series514.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ (- z t) 60.0)
156.0ms	(+ (/ 1 (/ (/ (- z t) 60.0) (- x y))) (* a 120.0))
63.0ms	(/ (/ (- z t) 60.0) (- x y))
266.0ms	(/ 1 (/ (/ (- z t) 60.0) (- x y)))

simplify106.0ms

Algorithm

egg-herbie

Counts

630 → 630

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1793	7490
1	5001	6467

prune1.0s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes223.0ms

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

sample604.0ms

Algorithm

intervals

Results

262.0ms	8520×	body	80	valid
5.0ms	40×	body	1280	valid
3.0ms	21×	body	2560	valid
3.0ms	28×	body	640	valid
2.0ms	21×	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