Details

sample62.0ms

Algorithm

intervals

Results

27.0ms

270×

body

valid

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 24.5b

localize28.0ms

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))))

rewrite153.0ms

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:

35.0ms	(* z (- t a))
45.0ms	(* z (- b y))
20.0ms	(+ (* x y) (* z (- t a)))
47.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series634.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* z (- t a))
53.0ms	(* z (- b y))
59.0ms	(+ (* x y) (* z (- t a)))
456.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify938.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (241.0ms)

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

prune514.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 23.8b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite223.0ms

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` `distribute-rgt-neg-out`
5×	`associate-r`
4×	`associate-+r-` `flip3-+` `sum-log` `flip-+`
3×	`associate-l` `unsub-neg` `associate-/r` `associate-/l`
2×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-sub` `associate-*r/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `associate-+r+` `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:

43.0ms	(* z (- b y))
38.0ms	(+ (* x y) (+ (* t z) (* z (- a))))
9.0ms	(+ (* t z) (* z (- a)))
129.0ms	(/ (+ (* x y) (+ (* t z) (* z (- a)))) (+ y (* z (- b y))))

series710.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* z (- b y))
78.0ms	(+ (* x y) (+ (* t z) (* z (- a))))
58.0ms	(+ (* t z) (* z (- a)))
532.0ms	(/ (+ (* x y) (+ (* t z) (* z (- a)))) (+ y (* z (- b y))))

simplify1.0s

Counts

99 → 99

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	157	1741
1	412	1439
2	1532	1341
done	5000	1333

prune385.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 23.8b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.5b	(/ 1 (+ y (* z (- b y))))
0.7b	(+ (* x y) (* z (- t a)))
23.4b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite103.0ms

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:

24.0ms	(* z (- b y))
17.0ms	(/ 1 (+ y (* z (- b y))))
11.0ms	(+ (* x y) (* z (- t a)))
47.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series751.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* z (- b y))
138.0ms	(/ 1 (+ y (* z (- b y))))
87.0ms	(+ (* x y) (* z (- t a)))
487.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify982.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (301.0ms)

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

prune500.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 23.8b

localize24.0ms

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))))

rewrite155.0ms

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:

36.0ms	(* z (- b y))
42.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
20.0ms	(+ (* x y) (* z (- t a)))
48.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.7s

Counts

4 → 12

Calls

4 calls:

43.0ms	(* z (- b y))
1.2s	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
81.0ms	(+ (* x y) (* z (- t a)))
456.0ms	(/ (+ 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

prune474.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 23.8b

regimes489.0ms

Accuracy

0% (0.6b remaining)

Error of 23.0b against oracle of 22.4b and baseline of 23.0b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	20
1	25	20
2	29	20
3	30	20
done	30	20

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s

8404×

body

valid