Details

sample21.0ms

Algorithm

intervals

Results

7.0ms

275×

body

valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 11.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
11.6b	(/ (* y (- z t)) (- z a))

rewrite63.0ms

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:

18.0ms	(+ x (/ (* y (- z t)) (- z a)))
19.0ms	(* y (- z t))
23.0ms	(/ (* y (- z t)) (- z a))

series157.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+ x (/ (* y (- z t)) (- z a)))
31.0ms	(* y (- z t))
58.0ms	(/ (* y (- z t)) (- z a))

simplify41.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (9.0ms)

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

prune154.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 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))
2.1b	(/ y (/ (- z a) (- z t)))

rewrite112.0ms

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:

55.0ms	(+ x (/ y (/ (- z a) (- z t))))
21.0ms	(/ (- z a) (- z t))
25.0ms	(/ y (/ (- z a) (- z t)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(+ x (/ y (/ (- z a) (- z t))))
40.0ms	(/ (- z a) (- z t))
103.0ms	(/ 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

prune454.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.2b	(* y (/ (- z t) (- z a)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

6.0ms	(+ x (* y (/ (- z t) (- z a))))
20.0ms	(/ (- z t) (- z a))
42.0ms	(* y (/ (- z t) (- z a)))

series163.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+ x (* y (/ (- z t) (- z a))))
38.0ms	(/ (- z t) (- z a))
58.0ms	(* y (/ (- z t) (- z a)))

simplify47.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	423	747
1	1655	704
2	5001	704

prune251.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (/ y (- z a)) (/ 1 (- z t))))
0.0b	(/ 1 (- z t))
0.0b	(/ y (- z a))
8.3b	(/ (/ y (- z a)) (/ 1 (- z t)))

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
702×	`*-un-lft-identity`
700×	`add-sqr-sqrt`
420×	`add-cube-cbrt`
140×	`distribute-lft-out--` `difference-of-squares`
93×	`associate-/r/`
47×	`div-inv`
46×	`flip3--` `flip--`
32×	`add-exp-log`
31×	`associate-/r*`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `distribute-lft-out` `inv-pow`

Counts

4 → 597

Calls

4 calls:

142.0ms	(+ x (/ (/ y (- z a)) (/ 1 (- z t))))
13.0ms	(/ 1 (- z t))
10.0ms	(/ y (- z a))
41.0ms	(/ (/ y (- z a)) (/ 1 (- z t)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ x (/ (/ y (- z a)) (/ 1 (- z t))))
31.0ms	(/ 1 (- z t))
28.0ms	(/ y (- z a))
107.0ms	(/ (/ y (- z a)) (/ 1 (- z t)))

simplify113.0ms

Algorithm

egg-herbie

Counts

609 → 609

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	2312	7688
1	5003	7134

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample592.0ms

Algorithm

intervals

Results

238.0ms

8739×

body

valid