Details

sample44.0ms

Algorithm

intervals

Results

21.0ms

266×

body

valid

simplify3.3s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
0.4b	(+ (* x y) (* z (- t a)))
21.7b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite109.0ms

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:

20.0ms	(* z (- t a))
32.0ms	(* z (- b y))
12.0ms	(+ (* x y) (* z (- t a)))
41.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series612.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* z (- t a))
52.0ms	(* z (- b y))
69.0ms	(+ (* x y) (* z (- t a)))
439.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify669.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (210.0ms)

Iter	Nodes	Cost
0	169	1522
1	402	1458
2	1292	1348
done	5000	1348

prune422.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 21.9b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.4b	(+ (* x y) (* z (- t a)))
0.8b	(/ 1 (+ y (* z (- b y))))
21.0b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite139.0ms

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:

34.0ms	(* z (- b y))
16.0ms	(+ (* x y) (* z (- t a)))
17.0ms	(/ 1 (+ y (* z (- b y))))
66.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series616.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* z (- b y))
48.0ms	(+ (* x y) (* z (- t a)))
128.0ms	(/ 1 (+ y (* z (- b y))))
401.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify946.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (275.0ms)

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

prune360.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 21.9b

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (* x y) (* t z))
0.8b	(/ 1 (+ y (* z (- b y))))
1.4b	(+ (+ (* x y) (* t z)) (* z (- a)))
21.0b	(* (+ (+ (* x y) (* t z)) (* z (- a))) (/ 1 (+ y (* z (- b y)))))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube` `add-log-exp`
7×	`pow1`
6×	`flip3-+` `flip-+`
4×	`div-exp` `prod-exp` `sum-log` `associate-/r/`
3×	`associate-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `+-commutative` `frac-times` `rec-exp` `1-exp` `associate-*l/` `distribute-rgt-neg-out` `cbrt-unprod` `div-inv`
1×	`associate-+l+` `pow-flip` `frac-2neg` `associate-r/` `unsub-neg` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 101

Calls

4 calls:

11.0ms	(+ (* x y) (* t z))
15.0ms	(/ 1 (+ y (* z (- b y))))
35.0ms	(+ (+ (* x y) (* t z)) (* z (- a)))
104.0ms	(* (+ (+ (* x y) (* t z)) (* z (- a))) (/ 1 (+ y (* z (- b y)))))

series615.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* x y) (* t z))
89.0ms	(/ 1 (+ y (* z (- b y))))
60.0ms	(+ (+ (* x y) (* t z)) (* z (- a)))
427.0ms	(* (+ (+ (* x y) (* t z)) (* z (- a))) (/ 1 (+ y (* z (- b y)))))

simplify966.0ms

Counts

113 → 113

Iterations

Useful iterations: done (963.0ms)

Iter	Nodes	Cost
0	152	2184
1	431	1943
2	1754	1688
done	5000	1686

prune434.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 21.9b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.4b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.4b	(+ (* x y) (* z (- t a)))
21.7b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite452.0ms

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:

353.0ms	(* z (- b y))
23.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
9.0ms	(+ (* x y) (* z (- t a)))
59.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.4s

Counts

4 → 12

Calls

4 calls:

45.0ms	(* z (- b y))
964.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
64.0ms	(+ (* x y) (* z (- t a)))
375.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify1.1s

Counts

168 → 168

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	244	4169
1	564	3899
2	1582	3574
done	5001	3548

prune506.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 21.9b

regimes675.0ms

Accuracy

0% (0.7b remaining)

Error of 23.3b against oracle of 22.6b and baseline of 23.3b

bsearch0.0ms

simplify14.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	22
1	30	22
2	34	22
3	35	22
done	35	22

end0.0ms

sample1.5s

Algorithm

intervals

Results

864.0ms

8419×

body

valid