Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

282×

body

valid

simplify54.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
10.9b	(/ (* y (- z t)) (- z a))

rewrite23.0ms

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:

7.0ms	(+ x (/ (* y (- z t)) (- z a)))
6.0ms	(* y (- z t))
9.0ms	(/ (* y (- z t)) (- z a))

series167.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(+ x (/ (* y (- z t)) (- z a)))
33.0ms	(* y (- z t))
63.0ms	(/ (* y (- z t)) (- z a))

simplify39.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (8.0ms)

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

prune161.0ms

Filtered

76 candidates to 52 candidates (68.4%)

Pruning

8 alts after pruning (8 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)))

rewrite58.0ms

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:

25.0ms	(+ x (/ y (/ (- z a) (- z t))))
10.0ms	(/ (- z a) (- z t))
11.0ms	(/ y (/ (- z a) (- z t)))

series240.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ x (/ y (/ (- z a) (- z t))))
51.0ms	(/ (- z a) (- z t))
114.0ms	(/ y (/ (- z a) (- z t)))

simplify74.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (55.0ms)

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

prune463.0ms

Filtered

215 candidates to 144 candidates (67.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- z a))
0.0b	(+ x (* (/ y (- z a)) (- z t)))
12.3b	(* (/ y (- z a)) (- z t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 102

Calls

3 calls:

5.0ms	(/ y (- z a))
3.0ms	(+ x (* (/ y (- z a)) (- z t)))
12.0ms	(* (/ y (- z a)) (- z t))

series229.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ y (- z a))
78.0ms	(+ x (* (/ y (- z a)) (- z t)))
110.0ms	(* (/ y (- z a)) (- z t))

simplify53.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	416	613
1	1659	573
2	5001	573

prune244.0ms

Filtered

111 candidates to 80 candidates (72.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (/ 1 (- z a)) (* y (- z t))))
0.0b	(/ 1 (- z a))
0.0b	(* y (- z t))
11.0b	(* (/ 1 (- z a)) (* y (- z t)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`add-exp-log`
30×	`times-frac`
25×	`add-cube-cbrt`
24×	`associate-l`
20×	`add-cbrt-cube`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`prod-exp`
12×	`pow1`
10×	`sub-neg`
8×	`associate-+r+` `associate-*r/` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`div-exp` `associate-r` `add-log-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*`
2×	`frac-times` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `associate-*l/` `clear-num` `sum-log` `flip-+` `inv-pow` `unswap-sqr`

Counts

4 → 143

Calls

4 calls:

4.0ms	(+ x (* (/ 1 (- z a)) (* y (- z t))))
6.0ms	(/ 1 (- z a))
6.0ms	(* y (- z t))
13.0ms	(* (/ 1 (- z a)) (* y (- z t)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ x (* (/ 1 (- z a)) (* y (- z t))))
33.0ms	(/ 1 (- z a))
37.0ms	(* y (- z t))
191.0ms	(* (/ 1 (- z a)) (* y (- z t)))

simplify64.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	544	853
1	2580	736
2	5003	703

prune280.0ms

Filtered

155 candidates to 87 candidates (56.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample553.0ms

Algorithm

intervals

Results

271.0ms	8773×	body	80	valid
0.0ms	1×	body	160	valid