Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

265×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	17
1	23	17
2	37	17
3	55	17
4	72	17
5	84	17
6	108	17
7	177	17
8	326	17
9	605	17
10	1389	17
11	3959	17
done	5001	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.0b	(* z (- t a))
1.3b	(+ (* x y) (* z (- t a)))
24.0b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite40.0ms

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:

9.0ms	(* z (- b y))
9.0ms	(* z (- t a))
8.0ms	(+ (* x y) (* z (- t a)))
11.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series427.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* z (- b y))
35.0ms	(* z (- t a))
44.0ms	(+ (* x y) (* z (- t a)))
310.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.6s

Counts

110 → 110

Iterations

Useful iterations: 2 (129.0ms)

Iter	Nodes	Cost
0	169	1522
1	399	1458
2	1219	1348
3	4837	1348
done	5000	1348

prune288.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 24.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.9b	(+ (* t z) (* x y))
0.9b	(+ (+ (* t z) (* x y)) (* z (- a)))
24.0b	(/ (+ (+ (* t z) (* x y)) (* z (- a))) (+ y (* z (- b y))))

rewrite55.0ms

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×	`flip3-+` `sum-log` `distribute-rgt-neg-out` `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:

9.0ms	(* z (- b y))
2.0ms	(+ (* t z) (* x y))
11.0ms	(+ (+ (* t z) (* x y)) (* z (- a)))
31.0ms	(/ (+ (+ (* t z) (* x y)) (* z (- a))) (+ y (* z (- b y))))

series415.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* z (- b y))
33.0ms	(+ (* t z) (* x y))
39.0ms	(+ (+ (* t z) (* x y)) (* z (- a)))
307.0ms	(/ (+ (+ (* t z) (* x y)) (* z (- a))) (+ y (* z (- b y))))

simplify578.0ms

Counts

97 → 97

Iterations

Useful iterations: done (572.0ms)

Iter	Nodes	Cost
0	155	1704
1	401	1587
2	1349	1475
done	5000	1350

prune279.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 20.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ (* t z) (* x y)) (+ y (* z (- b y)))) (/ (* z a) (+ y (* z (- b y)))))
0.9b	(+ (* t z) (* x y))
15.2b	(/ (* z a) (+ y (* z (- b y))))
21.8b	(/ (+ (* t z) (* x y)) (+ y (* z (- b y))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

42.0ms	(- (/ (+ (* t z) (* x y)) (+ y (* z (- b y)))) (/ (* z a) (+ y (* z (- b y)))))
2.0ms	(+ (* t z) (* x y))
5.0ms	(/ (* z a) (+ y (* z (- b y))))
9.0ms	(/ (+ (* t z) (* x y)) (+ y (* z (- b y))))

series674.0ms

Counts

4 → 12

Calls

4 calls:

422.0ms	(- (/ (+ (* t z) (* x y)) (+ y (* z (- b y)))) (/ (* z a) (+ y (* z (- b y)))))
37.0ms	(+ (* t z) (* x y))
89.0ms	(/ (* z a) (+ y (* z (- b y))))
126.0ms	(/ (+ (* t z) (* x y)) (+ y (* z (- b y))))

simplify681.0ms

Counts

97 → 97

Iterations

Useful iterations: done (678.0ms)

Iter	Nodes	Cost
0	153	2141
1	416	2051
2	1380	1901
done	5000	1891

prune300.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 19.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
1.3b	(+ (* z b) (* z (- y)))
1.3b	(+ (* x y) (* z (- t a)))
24.0b	(/ (+ (* x y) (* z (- t a))) (+ y (+ (* z b) (* z (- y)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

9.0ms	(* z (- t a))
2.0ms	(+ (* z b) (* z (- y)))
3.0ms	(+ (* x y) (* z (- t a)))
18.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (+ (* z b) (* z (- y)))))

series423.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* z (- t a))
39.0ms	(+ (* z b) (* z (- y)))
42.0ms	(+ (* x y) (* z (- t a)))
308.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (+ (* z b) (* z (- y)))))

simplify612.0ms

Counts

102 → 102

Iterations

Useful iterations: done (609.0ms)

Iter	Nodes	Cost
0	157	1742
1	407	1481
2	1387	1378
done	5000	1374

prune239.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 19.1b

regimes356.0ms

Accuracy

11.3% (6.6b remaining)

Error of 23.0b against oracle of 16.5b and baseline of 23.9b

bsearch48.0ms

Steps

Iters	Range		Point
8	3.446417499469021e+166	3.867747916561039e+169	1.0603207769061204e+169

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	41
1	41	41
2	44	41
3	45	41
done	45	41

end0.0ms

sample650.0ms

Algorithm

intervals

Results

366.0ms

8413×

body

valid