Details

sample22.0ms

Algorithm

intervals

Results

9.0ms	272×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify58.0ms

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

rewrite27.0ms

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:

6.0ms	(* 60.0 (- x y))
10.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
9.0ms	(/ (* 60.0 (- x y)) (- z t))

series209.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* 60.0 (- x y))
116.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
61.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify45.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (10.0ms)

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

prune178.0ms

Pruning

7 alts after pruning (7 fresh and 0 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))
0.2b	(/ 60.0 (/ (- z t) (- x y)))

rewrite57.0ms

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:

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

series467.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (- z t) (- x y))
143.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
274.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify78.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (60.0ms)

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

prune524.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

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-l` `associate-/r*` `add-log-exp`
4×	`associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `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 → 62

Calls

3 calls:

6.0ms	(* (- x y) 60.0)
13.0ms	(+ (/ (* (- x y) 60.0) (- z t)) (* a 120.0))
8.0ms	(/ (* (- x y) 60.0) (- z t))

series202.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (- x y) 60.0)
117.0ms	(+ (/ (* (- x y) 60.0) (- z t)) (* a 120.0))
55.0ms	(/ (* (- x y) 60.0) (- z t))

simplify45.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	360	393
1	1549	350
2	5001	350

prune179.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
171×	`add-sqr-sqrt` `*-un-lft-identity`
87×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`+-commutative` `associate-+l-` `flip3-+` `sum-log` `associate-/r/` `flip-+`

Counts

3 → 187

Calls

3 calls:

5.0ms	(/ (- z t) 60.0)
27.0ms	(+ (/ (- x y) (/ (- z t) 60.0)) (* a 120.0))
11.0ms	(/ (- x y) (/ (- z t) 60.0))

series202.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ (- z t) 60.0)
112.0ms	(+ (/ (- x y) (/ (- z t) 60.0)) (* a 120.0))
59.0ms	(/ (- x y) (/ (- z t) 60.0))

simplify74.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	814	1741
1	3070	1684
2	5001	1684

prune469.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes208.0ms

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

sample562.0ms

Algorithm

intervals

Results

292.0ms	8586×	body	80	valid
6.0ms	40×	body	1280	valid
4.0ms	30×	body	640	valid
4.0ms	20×	body	2560	valid
2.0ms	20×	body	320	valid
1.0ms	12×	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