Details

sample28.0ms

Algorithm

intervals

Results

16.0ms

284×

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) (- z a)))
8.7b	(/ (* y (- z t)) (- z a))

rewrite31.0ms

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

series174.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* y (- z t))
70.0ms	(+ x (/ (* y (- z t)) (- z a)))
67.0ms	(/ (* 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

prune164.0ms

Pruning

9 alts after pruning (8 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))
2.2b	(/ y (/ (- z a) (- z t)))

rewrite84.0ms

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))))
11.0ms	(/ (- z a) (- z t))
16.0ms	(/ y (/ (- z a) (- z t)))

series234.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(+ x (/ y (/ (- z a) (- z t))))
42.0ms	(/ (- z a) (- z t))
114.0ms	(/ y (/ (- z a) (- z t)))

simplify79.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (56.0ms)

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

prune480.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

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:

13.0ms	(/ (- z t) (- z a))
2.0ms	(+ x (* y (/ (- z t) (- z a))))
25.0ms	(* y (/ (- z t) (- z a)))

series178.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ (- z t) (- z a))
73.0ms	(+ x (* y (/ (- z t) (- z a))))
61.0ms	(* y (/ (- z t) (- z a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

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

prune267.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z t) (- z a))
0.0b	(+ x (/ y (/ 1 (/ (- z t) (- z a)))))
0.2b	(/ 1 (/ (- z t) (- z a)))
2.2b	(/ y (/ 1 (/ (- z t) (- z a))))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

1184×	`times-frac`
797×	`*-un-lft-identity`
795×	`add-sqr-sqrt`
451×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
134×	`associate-/r*`
40×	`associate-/r/`
36×	`add-exp-log`
23×	`div-inv`
22×	`div-exp`
20×	`add-cbrt-cube`
18×	`flip3--` `flip--`
11×	`associate-/l*`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
4×	`rec-exp` `1-exp`
3×	`frac-2neg` `clear-num`
2×	`associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 628

Calls

4 calls:

10.0ms	(/ (- z t) (- z a))
114.0ms	(+ x (/ y (/ 1 (/ (- z t) (- z a)))))
14.0ms	(/ 1 (/ (- z t) (- z a)))
33.0ms	(/ y (/ 1 (/ (- z t) (- z a))))

series275.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (- z t) (- z a))
73.0ms	(+ x (/ y (/ 1 (/ (- z t) (- z a)))))
93.0ms	(/ 1 (/ (- z t) (- z a)))
67.0ms	(/ y (/ 1 (/ (- z t) (- z a))))

simplify109.0ms

Algorithm

egg-herbie

Counts

640 → 640

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1800	7399
1	5001	6733

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes217.0ms

Accuracy

74.2% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.2b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	19
1	29	19

end0.0ms

sample753.0ms

Algorithm

intervals

Results

496.0ms

8769×

body

valid