Details

sample38.0ms

Algorithm

intervals

Results

15.0ms

270×

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.5b

localize23.0ms

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))))

rewrite102.0ms

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:

23.0ms	(* z (- t a))
21.0ms	(* z (- b y))
10.0ms	(+ (* x y) (* z (- t a)))
45.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series559.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* z (- t a))
42.0ms	(* z (- b y))
64.0ms	(+ (* x y) (* z (- t a)))
412.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify688.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (165.0ms)

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

prune345.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 23.8b

localize15.0ms

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))))

rewrite143.0ms

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:

31.0ms	(* z (- b y))
25.0ms	(+ (* x y) (+ (* t z) (* z (- a))))
11.0ms	(+ (* t z) (* z (- a)))
73.0ms	(/ (+ (* x y) (+ (* t z) (* z (- a)))) (+ y (* z (- b y))))

series582.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* z (- b y))
60.0ms	(+ (* x y) (+ (* t z) (* z (- a))))
51.0ms	(+ (* t z) (* z (- a)))
428.0ms	(/ (+ (* x y) (+ (* t z) (* z (- a)))) (+ y (* z (- b y))))

simplify935.0ms

Counts

99 → 99

Iterations

Useful iterations: done (931.0ms)

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

prune350.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 23.8b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite180.0ms

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/` `distribute-rgt-neg-out`
3×	`associate-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `+-commutative` `frac-times` `associate-+r-` `rec-exp` `1-exp` `unsub-neg` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`associate-+r+` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 103

Calls

4 calls:

11.0ms	(/ 1 (+ y (* z (- b y))))
31.0ms	(+ (* x y) (+ (* t z) (* z (- a))))
13.0ms	(+ (* t z) (* z (- a)))
123.0ms	(* (+ (* x y) (+ (* t z) (* z (- a)))) (/ 1 (+ y (* z (- b y)))))

series644.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(/ 1 (+ y (* z (- b y))))
66.0ms	(+ (* x y) (+ (* t z) (* z (- a))))
56.0ms	(+ (* t z) (* z (- a)))
407.0ms	(* (+ (* x y) (+ (* t z) (* z (- a)))) (/ 1 (+ y (* z (- b y)))))

simplify1.2s

Counts

115 → 115

Iterations

Useful iterations: 2 (313.0ms)

Iter	Nodes	Cost
0	153	2221
1	441	1771
2	1808	1593
done	5001	1593

prune433.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 23.8b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

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-+l+` `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))
33.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y))))
21.0ms	(+ (* z (- t a)) (* x y))
43.0ms	(/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y)))

series1.6s

Counts

4 → 12

Calls

4 calls:

54.0ms	(* z (- b y))
1.2s	(/ 1 (/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y))))
51.0ms	(+ (* z (- t a)) (* x y))
344.0ms	(/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y)))

simplify1.0s

Counts

168 → 168

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	246	4173
1	569	3911
2	1576	3582
done	5001	3548

prune388.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 23.8b

regimes388.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify7.0ms

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

sample1.6s

Algorithm

intervals

Results

1.0s

8404×

body

valid