Details

sample28.0ms

Algorithm

intervals

Results

16.0ms

280×

body

valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	58	5
3	101	5
4	145	5
5	178	5
6	204	5
7	264	5
8	352	5
9	441	5
10	707	5
11	906	5
12	1022	5
13	1044	5
14	1044	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
10.1b	(/ (* y (- z t)) (- z a))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

12.0ms	(+ x (/ (* y (- z t)) (- z a)))
9.0ms	(/ (* y (- z t)) (- z a))

series137.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(+ x (/ (* y (- z t)) (- z a)))
62.0ms	(/ (* y (- z t)) (- z a))

simplify33.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	277	283
1	1051	254
2	5001	254

prune110.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
1.7b	(/ y (/ (- z a) (- z t)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
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-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

43.0ms	(+ x (/ y (/ (- z a) (- z t))))
10.0ms	(/ (- z a) (- z t))
14.0ms	(/ y (/ (- z a) (- z t)))

series234.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(+ x (/ y (/ (- z a) (- z t))))
45.0ms	(/ (- z a) (- z t))
111.0ms	(/ y (/ (- z a) (- z t)))

simplify76.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	702	1885
1	3069	1832
2	5002	1829

prune488.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z a))
2.0ms	(cbrt (- z a))
2.0ms	(cbrt (- z a))

series592.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (- z t))
146.0ms	(cbrt (- z a))
146.0ms	(cbrt (- z a))
145.0ms	(cbrt (- z a))

simplify161.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 4 (155.0ms)

Iter	Nodes	Cost
0	243	428
1	523	408
2	1374	396
3	4708	375
4	5001	367

prune288.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.0b	(+ x (/ y (* (- z a) (/ 1 (- z t)))))
0.2b	(* (- z a) (/ 1 (- z t)))
1.7b	(/ y (* (- z a) (/ 1 (- z t))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 134

Calls

4 calls:

5.0ms	(/ 1 (- z t))
8.0ms	(+ x (/ y (* (- z a) (/ 1 (- z t)))))
27.0ms	(* (- z a) (/ 1 (- z t)))
9.0ms	(/ y (* (- z a) (/ 1 (- z t))))

series268.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ 1 (- z t))
78.0ms	(+ x (/ y (* (- z a) (/ 1 (- z t)))))
45.0ms	(* (- z a) (/ 1 (- z t)))
111.0ms	(/ y (* (- z a) (/ 1 (- z t))))

simplify52.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	477	827
1	2103	713
2	5001	666

prune264.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	19
1	17	19

end0.0ms

sample768.0ms

Algorithm

intervals

Results

508.0ms	8709×	body	80	valid
0.0ms	1×	body	640	valid