Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

281×

body

valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 1.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
1.8b	(* (/ (- x y) (- z y)) t)

rewrite40.0ms

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:

11.0ms	(/ (- x y) (- z y))
25.0ms	(* (/ (- x y) (- z y)) t)

series139.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (- x y) (- z y))
92.0ms	(* (/ (- x y) (- z y)) t)

simplify96.0ms

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

prune215.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- z y)) (cbrt (- z y)))
0.5b	(cbrt (- z y))
0.5b	(cbrt (- z y))
0.5b	(cbrt (- z y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

22.0ms	(* (cbrt (- z y)) (cbrt (- z y)))
2.0ms	(cbrt (- z y))
2.0ms	(cbrt (- z y))
2.0ms	(cbrt (- z y))

series546.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (cbrt (- z y)) (cbrt (- z y)))
142.0ms	(cbrt (- z y))
143.0ms	(cbrt (- z y))
143.0ms	(cbrt (- z y))

simplify159.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (150.0ms)

Iter	Nodes	Cost
0	261	760
1	912	723
2	4506	670
3	5001	660

prune347.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z y))
0.2b	(* (- x y) (/ 1 (- z y)))
1.8b	(* (* (- x y) (/ 1 (- z y))) t)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-exp-log`
24×	`add-cube-cbrt` `associate-r`
19×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow1`
10×	`associate-*l/`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `associate-l` `flip--`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `un-div-inv` `-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

3 → 119

Calls

3 calls:

5.0ms	(/ 1 (- z y))
23.0ms	(* (- x y) (/ 1 (- z y)))
33.0ms	(* (* (- x y) (/ 1 (- z y))) t)

series170.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ 1 (- z y))
47.0ms	(* (- x y) (/ 1 (- z y)))
91.0ms	(* (* (- x y) (/ 1 (- z y))) t)

simplify46.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	392	675
1	1893	558
2	5001	516

prune203.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
3.7b	(cbrt (/ (- x y) (- z y)))
3.7b	(cbrt (/ (- x y) (- z y)))
3.7b	(cbrt (/ (- x y) (- z y)))

rewrite122.0ms

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:

66.0ms	(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
5.0ms	(cbrt (/ (- x y) (- z y)))
5.0ms	(cbrt (/ (- x y) (- z y)))
9.0ms	(cbrt (/ (- x y) (- z y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

249.0ms	(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
291.0ms	(cbrt (/ (- x y) (- z y)))
303.0ms	(cbrt (/ (- x y) (- z y)))
325.0ms	(cbrt (/ (- x y) (- z y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 2 (42.0ms)

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

prune734.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes220.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	18
1	16	18

end0.0ms

sample425.0ms

Algorithm

intervals

Results

219.0ms

8731×

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