Details

sample46.0ms

Algorithm

intervals

Results

24.0ms

270×

body

valid

simplify3.4s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
0.7b	(+ (* x y) (* z (- t a)))
23.7b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite107.0ms

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))
34.0ms	(* z (- b y))
17.0ms	(+ (* x y) (* z (- t a)))
33.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series658.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* z (- t a))
61.0ms	(* z (- b y))
78.0ms	(+ (* x y) (* z (- t a)))
468.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify878.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (256.0ms)

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

prune385.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 23.8b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.7b	(+ (* t z) (* x y))
1.1b	(+ (+ (* t z) (* x y)) (* (- a) z))
23.7b	(/ (+ (+ (* t z) (* x y)) (* (- a) z)) (+ y (* z (- b y))))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`add-log-exp`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`associate-r`
4×	`distribute-lft-neg-out` `flip3-+` `sum-log` `flip-+`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-sub` `associate-*r/` `unsub-neg` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `associate-+l+` `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 → 85

Calls

4 calls:

30.0ms	(* z (- b y))
8.0ms	(+ (* t z) (* x y))
30.0ms	(+ (+ (* t z) (* x y)) (* (- a) z))
118.0ms	(/ (+ (+ (* t z) (* x y)) (* (- a) z)) (+ y (* z (- b y))))

series618.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* z (- b y))
69.0ms	(+ (* t z) (* x y))
53.0ms	(+ (+ (* t z) (* x y)) (* (- a) z))
427.0ms	(/ (+ (+ (* t z) (* x y)) (* (- a) z)) (+ y (* z (- b y))))

simplify1.0s

Counts

97 → 97

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	154	1704
1	401	1587
2	1471	1475
done	5001	1351

prune363.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 19.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (+ y (* z (- b y))))
0.7b	(+ (* t z) (* x y))
1.1b	(+ (+ (* t z) (* x y)) (* (- a) z))
23.4b	(* (+ (+ (* t z) (* x y)) (* (- a) z)) (/ 1 (+ y (* z (- b y)))))

rewrite201.0ms

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` `distribute-lft-neg-out` `frac-times` `rec-exp` `1-exp` `associate-*l/` `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	(/ 1 (+ y (* z (- b y))))
8.0ms	(+ (* t z) (* x y))
30.0ms	(+ (+ (* t z) (* x y)) (* (- a) z))
149.0ms	(* (+ (+ (* t z) (* x y)) (* (- a) z)) (/ 1 (+ y (* z (- b y)))))

series630.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(/ 1 (+ y (* z (- b y))))
37.0ms	(+ (* t z) (* x y))
49.0ms	(+ (+ (* t z) (* x y)) (* (- a) z))
433.0ms	(* (+ (+ (* t z) (* x y)) (* (- a) z)) (/ 1 (+ y (* z (- b y)))))

simplify875.0ms

Counts

113 → 113

Iterations

Useful iterations: 2 (291.0ms)

Iter	Nodes	Cost
0	151	2184
1	429	1943
2	1729	1749
done	5000	1749

prune408.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 19.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.2b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.7b	(+ (* x y) (* z (- t a)))
23.7b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite113.0ms

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:

21.0ms	(* z (- b y))
26.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
14.0ms	(+ (* x y) (* z (- t a)))
46.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.5s

Counts

4 → 12

Calls

4 calls:

59.0ms	(* z (- b y))
1.0s	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
65.0ms	(+ (* x y) (* z (- t a)))
331.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify875.0ms

Counts

168 → 168

Iterations

Useful iterations: done (867.0ms)

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

prune457.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 19.1b

regimes587.0ms

Accuracy

82.8% (0.8b remaining)

Error of 19.2b against oracle of 18.5b and baseline of 23.0b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	22	61
1	33	59
done	33	59

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.0s

8404×

body

valid