Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

266×

body

valid

simplify2.6s

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: 22.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.0b	(* z (- t a))
1.4b	(+ (* x y) (* z (- t a)))
21.8b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

3.0ms	(+ y (* z (- b y)))
10.0ms	(* z (- t a))
3.0ms	(+ (* x y) (* z (- t a)))
12.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series406.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ y (* z (- b y)))
36.0ms	(* z (- t a))
40.0ms	(+ (* x y) (* z (- t a)))
302.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.6s

Counts

99 → 99

Iterations

Useful iterations: 2 (121.0ms)

Iter	Nodes	Cost
0	148	1497
1	357	1447
2	1087	1327
3	4498	1327
done	5000	1327

prune265.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 21.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.7b	(/ 1 (+ y (* z (- b y))))
1.4b	(+ (* x y) (* z (- t a)))
21.5b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite40.0ms

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:

10.0ms	(* z (- t a))
4.0ms	(/ 1 (+ y (* z (- b y))))
3.0ms	(+ (* x y) (* z (- t a)))
19.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series477.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* z (- t a))
82.0ms	(/ 1 (+ y (* z (- b y))))
40.0ms	(+ (* x y) (* z (- t a)))
317.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify738.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (174.0ms)

Iter	Nodes	Cost
0	174	2024
1	447	1842
2	1392	1656
done	5000	1656

prune321.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 21.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.2b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
1.4b	(+ (* x y) (* z (- t a)))
21.8b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite43.0ms

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:

10.0ms	(* z (- t a))
10.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
3.0ms	(+ (* x y) (* z (- t a)))
14.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.1s

Counts

4 → 12

Calls

4 calls:

35.0ms	(* z (- t a))
789.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
39.0ms	(+ (* x y) (* z (- t a)))
256.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify671.0ms

Counts

168 → 168

Iterations

Useful iterations: 2 (183.0ms)

Iter	Nodes	Cost
0	241	4169
1	571	3889
2	1507	3574
done	5000	3574

prune366.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 21.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ 1 (+ (* z (- b y)) y))
1.0b	(/ 1 (+ (* x y) (* z (- t a))))
1.4b	(+ (* x y) (* z (- t a)))
21.1b	(/ (/ 1 (+ (* z (- b y)) y)) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

531×	`times-frac`
244×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
69×	`associate-/r/`
52×	`add-exp-log`
36×	`div-exp`
35×	`flip3-+` `flip-+` `div-inv`
21×	`associate-/r` `associate-/l`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1` `add-log-exp`
4×	`associate-+r+`
3×	`frac-2neg` `clear-num`
2×	`distribute-rgt-in` `sub-neg` `pow-flip` `distribute-lft-in` `inv-pow`
1×	`+-commutative` `sum-log` `associate-/l/`

Counts

4 → 368

Calls

4 calls:

10.0ms	(/ 1 (+ (* z (- b y)) y))
5.0ms	(/ 1 (+ (* x y) (* z (- t a))))
3.0ms	(+ (* x y) (* z (- t a)))
31.0ms	(/ (/ 1 (+ (* z (- b y)) y)) (/ 1 (+ (* x y) (* z (- t a)))))

series598.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ 1 (+ (* z (- b y)) y))
55.0ms	(/ 1 (+ (* x y) (* z (- t a))))
40.0ms	(+ (* x y) (* z (- t a)))
452.0ms	(/ (/ 1 (+ (* z (- b y)) y)) (/ 1 (+ (* x y) (* z (- t a)))))

simplify1.4s

Counts

380 → 380

Iterations

Useful iterations: 2 (849.0ms)

Iter	Nodes	Cost
0	542	14402
1	1663	12544
2	3645	11708
done	5000	11708

prune537.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 12.1b

regimes836.0ms

Accuracy

65.7% (4.2b remaining)

Error of 15.7b against oracle of 11.5b and baseline of 23.8b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	32	131
1	43	125
done	43	125

end0.0ms

sample663.0ms

Algorithm

intervals

Results

362.0ms

8403×

body

valid