Details

sample28.0ms

Algorithm

intervals

Results

16.0ms

278×

body

valid

simplify56.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
11.0b	(/ (* y (- z t)) (- z a))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-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` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

10.0ms	(+ x (/ (* y (- z t)) (- z a)))
13.0ms	(* y (- z t))
10.0ms	(/ (* y (- z t)) (- z a))

series174.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (/ (* y (- z t)) (- z a)))
39.0ms	(* y (- z t))
62.0ms	(/ (* y (- z t)) (- z a))

simplify42.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	337	381
1	1443	342
2	5002	342

prune163.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
2.3b	(/ y (/ (- z a) (- z t)))

rewrite83.0ms

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:

46.0ms	(+ x (/ y (/ (- z a) (- z t))))
10.0ms	(/ (- z a) (- z t))
14.0ms	(/ y (/ (- z a) (- z t)))

series239.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(+ x (/ y (/ (- z a) (- z t))))
42.0ms	(/ (- z a) (- z t))
118.0ms	(/ y (/ (- z a) (- z t)))

simplify75.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (56.0ms)

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

prune507.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (* (- z a) (/ 1 (- z t)))))
0.0b	(/ 1 (- z t))
0.2b	(* (- z a) (/ 1 (- z t)))
2.3b	(/ y (* (- z a) (/ 1 (- z t))))

rewrite52.0ms

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:

9.0ms	(+ x (/ y (* (- z a) (/ 1 (- z t)))))
5.0ms	(/ 1 (- z t))
24.0ms	(* (- z a) (/ 1 (- z t)))
10.0ms	(/ y (* (- z a) (/ 1 (- z t))))

series274.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ x (/ y (* (- z a) (/ 1 (- z t)))))
39.0ms	(/ 1 (- z t))
42.0ms	(* (- z a) (/ 1 (- z t)))
117.0ms	(/ y (* (- z a) (/ 1 (- z t))))

simplify59.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (45.0ms)

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

prune292.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
0.0b	(/ (- z a) (- z t))
0.2b	(/ 1 (/ (/ (- z a) (- z t)) y))
2.3b	(/ (/ (- z a) (- z t)) y)

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac`
797×	`*-un-lft-identity`
794×	`add-sqr-sqrt`
450×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
39×	`associate-/l*`
35×	`associate-/r/`
32×	`add-exp-log`
24×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

4 → 624

Calls

4 calls:

114.0ms	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
11.0ms	(/ (- z a) (- z t))
30.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
23.0ms	(/ (/ (- z a) (- z t)) y)

series589.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
45.0ms	(/ (- z a) (- z t))
392.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
82.0ms	(/ (/ (- z a) (- z t)) y)

simplify103.0ms

Algorithm

egg-herbie

Counts

636 → 636

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1829	7506
1	5002	6288

prune1.0s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes217.0ms

Accuracy

67.7% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.2b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	24
1	31	24

end0.0ms

sample766.0ms

Algorithm

intervals

Results

505.0ms	8744×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid