Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

283×

body

valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	72	4
4	105	4
5	122	4
6	139	4
7	149	4
8	156	4
9	160	4
10	164	4
11	259	4
12	297	4
13	319	4
14	405	4
15	474	4
16	532	4
17	626	4
18	702	4
19	711	4
20	711	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
1.4b	(* (/ (- x y) (- z y)) t)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

10.0ms	(/ (- x y) (- z y))
30.0ms	(* (/ (- x y) (- z y)) t)

series140.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (- x y) (- z y))
93.0ms	(* (/ (- x y) (- z y)) t)

simplify95.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	360	653
1	1125	612
2	4528	611
3	5002	611

prune202.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z y) (- x y))
0.5b	(/ 1 (/ (- z y) (- x y)))
1.4b	(* (/ 1 (/ (- z y) (- x y))) t)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
335×	`add-sqr-sqrt`
323×	`*-un-lft-identity`
157×	`add-cube-cbrt`
98×	`associate-l`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
35×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-r` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `inv-pow`

Counts

3 → 326

Calls

3 calls:

11.0ms	(/ (- z y) (- x y))
14.0ms	(/ 1 (/ (- z y) (- x y)))
55.0ms	(* (/ 1 (/ (- z y) (- x y))) t)

series321.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (- z y) (- x y))
123.0ms	(/ 1 (/ (- z y) (- x y)))
149.0ms	(* (/ 1 (/ (- z y) (- x y))) t)

simplify91.0ms

Algorithm

egg-herbie

Counts

335 → 335

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	874	2680
1	4188	2394
2	5001	2171

prune547.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:

10.0ms	(/ (- z y) (- x y))
14.0ms	(/ t (/ (- z y) (- x y)))

series192.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- z y) (- x y))
142.0ms	(/ t (/ (- z y) (- x y)))

simplify68.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	633	1784
1	2863	1733
2	5001	1730

prune476.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
2.4b	(cbrt (/ (- x y) (- z y)))
2.4b	(cbrt (/ (- x y) (- z y)))
2.4b	(cbrt (/ (- x y) (- z y)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

67.0ms	(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
5.0ms	(cbrt (/ (- x y) (- z y)))
5.0ms	(cbrt (/ (- x y) (- z y)))
6.0ms	(cbrt (/ (- x y) (- z y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

258.0ms	(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
302.0ms	(cbrt (/ (- x y) (- z y)))
298.0ms	(cbrt (/ (- x y) (- z y)))
301.0ms	(cbrt (/ (- x y) (- z y)))

simplify78.0ms

Algorithm

egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	542	3638
1	1734	3570
2	5001	3366

prune733.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes150.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample433.0ms

Algorithm

intervals

Results

222.0ms

8750×

body

valid

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	72	4
4	105	4
5	122	4
6	139	4
7	149	4
8	156	4
9	160	4
10	164	4
11	259	4
12	297	4
13	319	4
14	405	4
15	474	4
16	532	4
17	626	4
18	702	4
19	711	4
20	711	4

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	72	4
4	105	4
5	122	4
6	139	4
7	149	4
8	156	4
9	160	4
10	164	4
11	259	4
12	297	4
13	319	4
14	405	4
15	474	4
16	532	4
17	626	4
18	702	4
19	711	4
20	711	4

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	72	4
4	105	4
5	122	4
6	139	4
7	149	4
8	156	4
9	160	4
10	164	4
11	259	4
12	297	4
13	319	4
14	405	4
15	474	4
16	532	4
17	626	4
18	702	4
19	711	4
20	711	4