Details

sample38.0ms

Algorithm

intervals

Results

16.0ms

271×

body

valid

simplify839.0ms

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	102	17
5	138	17
6	164	17
7	233	17
8	515	17
9	1414	17
done	5000	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.0b	(* z (- t a))
1.1b	(+ (* x y) (* z (- t a)))
22.0b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite116.0ms

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:

32.0ms	(* z (- b y))
31.0ms	(* z (- t a))
10.0ms	(+ (* x y) (* z (- t a)))
39.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series543.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* z (- b y))
40.0ms	(* z (- t a))
47.0ms	(+ (* x y) (* z (- t a)))
418.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify803.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (167.0ms)

Iter	Nodes	Cost
0	169	1522
1	428	1458
2	1607	1348
done	5000	1348

prune423.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 22.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.9b	(+ (* x y) (* z t))
2.6b	(+ (+ (* x y) (* z t)) (* (- a) z))
22.0b	(/ (+ (+ (* x y) (* z t)) (* (- a) z)) (+ y (* z (- b y))))

rewrite206.0ms

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

32.0ms	(* z (- b y))
11.0ms	(+ (* x y) (* z t))
37.0ms	(+ (+ (* x y) (* z t)) (* (- a) z))
122.0ms	(/ (+ (+ (* x y) (* z t)) (* (- a) z)) (+ y (* z (- b y))))

series572.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* z (- b y))
50.0ms	(+ (* x y) (* z t))
62.0ms	(+ (+ (* x y) (* z t)) (* (- a) z))
406.0ms	(/ (+ (+ (* x y) (* z t)) (* (- a) z)) (+ y (* z (- b y))))

simplify893.0ms

Counts

97 → 97

Iterations

Useful iterations: done (890.0ms)

Iter	Nodes	Cost
0	156	1704
1	426	1642
2	1778	1477
done	5002	1475

prune303.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 22.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (+ y (* z (- b y))))
0.9b	(+ (* x y) (* z t))
2.6b	(+ (+ (* x y) (* z t)) (* (- a) z))
21.5b	(* (+ (+ (* x y) (* z t)) (* (- a) z)) (/ 1 (+ y (* z (- b y)))))

rewrite160.0ms

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

Counts

4 → 101

Calls

4 calls:

10.0ms	(/ 1 (+ y (* z (- b y))))
8.0ms	(+ (* x y) (* z t))
32.0ms	(+ (+ (* x y) (* z t)) (* (- a) z))
106.0ms	(* (+ (+ (* x y) (* z t)) (* (- a) z)) (/ 1 (+ y (* z (- b y)))))

series619.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(/ 1 (+ y (* z (- b y))))
41.0ms	(+ (* x y) (* z t))
61.0ms	(+ (+ (* x y) (* z t)) (* (- a) z))
401.0ms	(* (+ (+ (* x y) (* z t)) (* (- a) z)) (/ 1 (+ y (* z (- b y)))))

simplify6.0s

Counts

113 → 113

Iterations

Useful iterations: 2 (692.0ms)

Iter	Nodes	Cost
0	153	2184
1	460	1978
2	4387	1694
done	5002	1694

prune568.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 22.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (/ (+ y (* z (- b y))) (- (+ (* t z) (* x y)) (* a z))))
0.9b	(+ (* t z) (* x y))
2.6b	(- (+ (* t z) (* x y)) (* a z))
21.9b	(/ (+ y (* z (- b y))) (- (+ (* t z) (* x y)) (* a z)))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
8×	`div-exp`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv`
2×	`rec-exp` `frac-2neg` `flip3-+` `diff-log` `1-exp` `clear-num` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `pow-flip` `associate--l+` `inv-pow`

Counts

4 → 140

Calls

4 calls:

64.0ms	(/ 1 (/ (+ y (* z (- b y))) (- (+ (* t z) (* x y)) (* a z))))
8.0ms	(+ (* t z) (* x y))
60.0ms	(- (+ (* t z) (* x y)) (* a z))
80.0ms	(/ (+ y (* z (- b y))) (- (+ (* t z) (* x y)) (* a z)))

series1.8s

Counts

4 → 12

Calls

4 calls:

1.3s	(/ 1 (/ (+ y (* z (- b y))) (- (+ (* t z) (* x y)) (* a z))))
38.0ms	(+ (* t z) (* x y))
61.0ms	(- (+ (* t z) (* x y)) (* a z))
415.0ms	(/ (+ y (* z (- b y))) (- (+ (* t z) (* x y)) (* a z)))

simplify2.0s

Counts

152 → 152

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	216	4519
1	605	4247
2	3602	4035
done	5000	4031

prune474.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 22.0b

regimes421.0ms

Accuracy

0% (0.7b remaining)

Error of 23.6b against oracle of 22.9b and baseline of 23.6b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	22
1	30	22
2	34	22
3	35	22
done	35	22

end0.0ms

sample1.7s

Algorithm

intervals

Results

711.0ms

8393×

body

valid