Details

sample23.0ms

Algorithm

intervals

Results

8.0ms	277×	body	80	valid
0.0ms	1×	body	640	valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
9.8b	(/ (* y (- z t)) (- a t))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-r` `associate-/r*`
4×	`pow1` `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/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

21.0ms	(* y (- z t))
23.0ms	(/ (* y (- z t)) (- a t))

series92.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* y (- z t))
61.0ms	(/ (* y (- z t)) (- a t))

simplify38.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	264	276
1	1211	239
2	5001	239

prune139.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.5b	(/ y (/ (- a t) (- z t)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 194

Calls

2 calls:

25.0ms	(/ (- a t) (- z t))
25.0ms	(/ y (/ (- a t) (- z t)))

series181.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (- a t) (- z t))
134.0ms	(/ y (/ (- a t) (- z t)))

simplify75.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	633	1784
1	2862	1733
2	5001	1730

prune482.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.2b	(/ 1 (/ (/ (- a t) (- z t)) y))
1.5b	(/ (/ (- a t) (- z t)) y)

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac`
793×	`add-sqr-sqrt` `*-un-lft-identity`
449×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
39×	`associate-/l*`
35×	`associate-/r/`
31×	`add-exp-log`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
4×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

3 → 611

Calls

3 calls:

22.0ms	(/ (- a t) (- z t))
47.0ms	(/ 1 (/ (/ (- a t) (- z t)) y))
34.0ms	(/ (/ (- a t) (- z t)) y)

series268.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (- a t) (- z t))
147.0ms	(/ 1 (/ (/ (- a t) (- z t)) y))
79.0ms	(/ (/ (- a t) (- z t)) y)

simplify106.0ms

Algorithm

egg-herbie

Counts

620 → 620

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1766	7383
1	5001	6711

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
8.2b	(* (/ y (- a t)) (- z t))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-r` `associate-/r*`
4×	`pow1` `flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 87

Calls

2 calls:

11.0ms	(/ y (- a t))
48.0ms	(* (/ y (- a t)) (- z t))

series162.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ y (- a t))
132.0ms	(* (/ y (- a t)) (- z t))

simplify40.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	340	501
1	1399	463
2	5001	463

prune215.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes151.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample607.0ms

Algorithm

intervals

Results

246.0ms	8742×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5