Details

sample58.0ms

Algorithm

intervals

Results

25.0ms

263×

body

valid

simplify3.9s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
0.9b	(+ (* x y) (* z (- t a)))
20.8b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite154.0ms

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:

41.0ms	(* z (- t a))
37.0ms	(* z (- b y))
17.0ms	(+ (* x y) (* z (- t a)))
53.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series730.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* z (- t a))
61.0ms	(* z (- b y))
70.0ms	(+ (* x y) (* z (- t a)))
534.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify851.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (199.0ms)

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

prune479.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 20.8b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.4b	(/ 1 (+ y (* z (- b y))))
0.9b	(+ (* x y) (* z (- t a)))
20.5b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite136.0ms

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:

36.0ms	(* z (- b y))
17.0ms	(/ 1 (+ y (* z (- b y))))
17.0ms	(+ (* x y) (* z (- t a)))
60.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series652.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* z (- b y))
115.0ms	(/ 1 (+ y (* z (- b y))))
74.0ms	(+ (* x y) (* z (- t a)))
415.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify896.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (209.0ms)

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

prune409.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 20.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.3b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.9b	(+ (* x y) (* z (- t a)))
20.7b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite166.0ms

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:

26.0ms	(* z (- b y))
50.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
19.0ms	(+ (* x y) (* z (- t a)))
59.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.8s

Counts

4 → 12

Calls

4 calls:

67.0ms	(* z (- b y))
1.3s	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
95.0ms	(+ (* x y) (* z (- t a)))
388.0ms	(/ (+ 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

prune604.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 20.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.3b	(/ 1 (/ (+ y (pow (* z (- b y)) 1)) (+ (* x y) (* z (- t a)))))
0.9b	(+ (* x y) (* z (- t a)))
20.7b	(/ (+ y (pow (* z (- b y)) 1)) (+ (* x y) (* z (- t a))))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
100×	`*-un-lft-identity`
70×	`add-sqr-sqrt`
66×	`add-cube-cbrt`
21×	`associate-/r*`
19×	`add-exp-log`
16×	`distribute-lft-out`
13×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`div-exp`
7×	`pow1` `flip3-+` `flip-+` `associate-/l*`
6×	`div-inv` `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 → 172

Calls

4 calls:

37.0ms	(* z (- b y))
49.0ms	(/ 1 (/ (+ y (pow (* z (- b y)) 1)) (+ (* x y) (* z (- t a)))))
23.0ms	(+ (* x y) (* z (- t a)))
48.0ms	(/ (+ y (pow (* z (- b y)) 1)) (+ (* x y) (* z (- t a))))

series1.8s

Counts

4 → 12

Calls

4 calls:

42.0ms	(* z (- b y))
1.2s	(/ 1 (/ (+ y (pow (* z (- b y)) 1)) (+ (* x y) (* z (- t a)))))
53.0ms	(+ (* x y) (* z (- t a)))
435.0ms	(/ (+ y (pow (* z (- b y)) 1)) (+ (* x y) (* z (- t a))))

simplify963.0ms

Counts

184 → 184

Iterations

Useful iterations: done (955.0ms)

Iter	Nodes	Cost
0	246	5019
1	571	4306
2	1624	3973
done	5001	3941

prune602.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 20.8b

regimes498.0ms

Accuracy

0% (0.7b remaining)

Error of 23.3b against oracle of 22.7b and baseline of 23.3b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	19
1	24	19
done	24	19

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

8367×

body

valid