Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

274×

body

valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	8
1	37	8
2	65	8
3	94	8
4	108	8
5	132	8
6	201	8
7	359	8
8	825	8
9	3212	8
10	5001	8

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z (- t a)))
0.0b	(* z (- t a))
0.0b	(* z (- b y))
22.9b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

3.0ms	(+ (* x y) (* z (- t a)))
9.0ms	(* z (- t a))
9.0ms	(* z (- b y))
11.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series418.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (* x y) (* z (- t a)))
33.0ms	(* z (- t a))
33.0ms	(* z (- b y))
306.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify53.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	401	714
1	1759	659
2	5001	659

prune315.0ms

Filtered

110 candidates to 74 candidates (67.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 23.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
0.4b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
22.7b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
68×	`add-sqr-sqrt`
64×	`*-un-lft-identity`
60×	`add-cube-cbrt`
21×	`add-exp-log`
18×	`associate-/r*`
15×	`add-cbrt-cube`
11×	`associate-/r/`
10×	`associate-r`
9×	`pow1`
8×	`div-exp`
6×	`flip3-+` `associate-l` `flip-+` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `add-log-exp`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 167

Calls

4 calls:

12.0ms	(* z (- t a))
10.0ms	(* z (- b y))
10.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
11.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.1s

Counts

4 → 12

Calls

4 calls:

33.0ms	(* z (- t a))
38.0ms	(* z (- b y))
790.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
259.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify76.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	635	2045
1	3119	1873
2	5003	1785

prune552.0ms

Filtered

179 candidates to 98 candidates (54.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 23.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
0.4b	(/ 1 (+ y (* z (- b y))))
22.6b	(* (/ 1 (+ y (* z (- b y)))) (+ (* x y) (* z (- t a))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`add-exp-log` `associate-l`
20×	`times-frac`
15×	`add-cbrt-cube`
13×	`associate-r`
11×	`pow1`
6×	`associate-*r/` `prod-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`
4×	`sub-neg` `flip3-+` `div-exp` `associate-/r/` `cbrt-unprod` `flip-+` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `flip3--` `1-exp` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`pow-flip` `frac-2neg` `associate-*l/` `clear-num` `inv-pow`

Counts

4 → 128

Calls

4 calls:

9.0ms	(* z (- t a))
9.0ms	(* z (- b y))
4.0ms	(/ 1 (+ y (* z (- b y))))
22.0ms	(* (/ 1 (+ y (* z (- b y)))) (+ (* x y) (* z (- t a))))

series950.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* z (- t a))
33.0ms	(* z (- b y))
81.0ms	(/ 1 (+ y (* z (- b y))))
803.0ms	(* (/ 1 (+ y (* z (- b y)))) (+ (* x y) (* z (- t a))))

simplify81.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	616	961
1	3554	857
2	5001	831

prune322.0ms

Filtered

140 candidates to 85 candidates (60.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 23.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.4b	(/ 1 (+ y (* z (- b y))))
0.5b	(/ 1 (+ (* x y) (* z (- t a))))
22.4b	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

531×	`times-frac`
250×	`add-sqr-sqrt`
248×	`*-un-lft-identity`
246×	`add-cube-cbrt`
69×	`associate-/r/`
54×	`add-exp-log`
36×	`div-exp`
35×	`div-inv`
34×	`flip3-+` `flip-+`
22×	`add-cbrt-cube`
21×	`associate-/r` `associate-/l`
10×	`cbrt-undiv` `rec-exp` `1-exp`
8×	`pow1`
5×	`associate-r`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`distribute-rgt-in` `sub-neg` `pow-flip` `distribute-lft-in` `associate-*r/` `inv-pow`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 379

Calls

4 calls:

9.0ms	(* z (- b y))
4.0ms	(/ 1 (+ y (* z (- b y))))
5.0ms	(/ 1 (+ (* x y) (* z (- t a))))
19.0ms	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series960.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* z (- b y))
78.0ms	(/ 1 (+ y (* z (- b y))))
55.0ms	(/ 1 (+ (* x y) (* z (- t a))))
793.0ms	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify94.0ms

Algorithm

egg-herbie

Counts

391 → 391

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1706	7158
1	5001	6603

prune814.0ms

Filtered

391 candidates to 193 candidates (49.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 23.0b

regimes433.0ms

Accuracy

0% (0.7b remaining)

Error of 23.5b against oracle of 22.7b and baseline of 23.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

end0.0ms

sample630.0ms

Algorithm

intervals

Results

350.0ms

8416×

body

valid