Details

sample32.0ms

Algorithm

intervals

Results

13.0ms

264×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	23	17
2	37	17
3	65	17
4	87	17
5	101	17
6	125	17
7	194	17
8	328	17
9	596	17
10	1292	17
11	3696	17
done	5001	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.0b	(* z (- b y))
0.2b	(+ (* x y) (* z (- t a)))
22.6b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

8.0ms	(+ y (* z (- b y)))
31.0ms	(* z (- b y))
12.0ms	(+ (* x y) (* z (- t a)))
48.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series980.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ y (* z (- b y)))
45.0ms	(* z (- b y))
75.0ms	(+ (* x y) (* z (- t a)))
825.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.0s

Counts

99 → 99

Iterations

Useful iterations: 2 (213.0ms)

Iter	Nodes	Cost
0	146	1497
1	354	1447
2	1132	1327
done	5000	1327

prune415.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 22.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.2b	(+ (* x y) (* z (- t a)))
1.0b	(/ 1 (+ y (* z (- b y))))
22.1b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

27.0ms	(* z (- b y))
24.0ms	(+ (* x y) (* z (- t a)))
20.0ms	(/ 1 (+ y (* z (- b y))))
51.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series758.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* z (- b y))
68.0ms	(+ (* x y) (* z (- t a)))
139.0ms	(/ 1 (+ y (* z (- b y))))
507.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify1.3s

Counts

128 → 128

Iterations

Useful iterations: 2 (341.0ms)

Iter	Nodes	Cost
0	176	2024
1	443	1842
2	1477	1656
done	5000	1656

prune505.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 22.7b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.2b	(+ (* x y) (* z (- t a)))
0.6b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
22.5b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
62×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
58×	`add-cube-cbrt`
19×	`add-exp-log`
18×	`associate-/r*`
13×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`div-exp`
7×	`pow1` `flip3-+` `flip-+`
6×	`div-inv` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in`
3×	`associate-l`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-*r/` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3--` `pow-flip` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 156

Calls

4 calls:

27.0ms	(* z (- b y))
14.0ms	(+ (* x y) (* z (- t a)))
26.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
47.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.7s

Counts

4 → 12

Calls

4 calls:

63.0ms	(* z (- b y))
59.0ms	(+ (* x y) (* z (- t a)))
1.2s	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
399.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify1.3s

Counts

168 → 168

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	244	4169
1	564	3899
2	1581	3574
done	5000	3548

prune521.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 22.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* x y) (* z (- t a)))
0.6b	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
0.8b	(/ 1 (+ (* x y) (* z (- t a))))
21.8b	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
29×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `times-frac`
22×	`add-cube-cbrt`
20×	`div-exp` `add-cbrt-cube`
16×	`prod-exp`
15×	`associate-r`
10×	`pow1` `rec-exp` `1-exp` `associate-/r/`
7×	`flip3-+` `flip-+`
6×	`cbrt-undiv` `associate-/l*` `add-log-exp`
4×	`frac-times` `associate-+r+` `associate-l/` `associate-/r` `cbrt-unprod`
3×	`pow-flip` `associate-l` `div-inv` `unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-*r/` `pow-prod-down` `clear-num` `un-div-inv` `inv-pow`
1×	`+-commutative` `sum-log` `*-commutative`

Counts

4 → 134

Calls

4 calls:

11.0ms	(+ (* x y) (* z (- t a)))
63.0ms	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
15.0ms	(/ 1 (+ (* x y) (* z (- t a))))
60.0ms	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

series1.7s

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ (* x y) (* z (- t a)))
1.2s	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
92.0ms	(/ 1 (+ (* x y) (* z (- t a))))
375.0ms	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify1.4s

Counts

146 → 146

Iterations

Useful iterations: 2 (307.0ms)

Iter	Nodes	Cost
0	178	2968
1	468	2653
2	1567	2279
done	5001	2279

prune454.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 22.7b

regimes484.0ms

Accuracy

0% (0.6b remaining)

Error of 22.9b against oracle of 22.3b and baseline of 22.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	19	17
done	19	17

end0.0ms

sample1.4s

Algorithm

intervals

Results

761.0ms

8422×

body

valid