Details

sample52.0ms

Algorithm

intervals

Results

20.0ms

280×

body

valid

simplify8.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	60	11
4	96	11
5	148	11
6	259	11
7	430	11
8	804	11
9	1875	11
10	4961	11
done	5001	11

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
11.6b	(/ (* (- y z) t) (- a z))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

37.0ms	(+ x (/ (* (- y z) t) (- a z)))
44.0ms	(* (- y z) t)
44.0ms	(/ (* (- y z) t) (- a z))

series310.0ms

Counts

3 → 9

Calls

3 calls:

145.0ms	(+ x (/ (* (- y z) t) (- a z)))
48.0ms	(* (- y z) t)
117.0ms	(/ (* (- y z) t) (- a z))

simplify1.9s

Counts

72 → 72

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	124	812
1	334	763
2	1672	691
done	5000	685

prune543.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- a z))
0.0b	(+ x (* (- y z) (/ t (- a z))))
11.2b	(* (- y z) (/ t (- a z)))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-l` `associate-/r*` `add-log-exp`
4×	`flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 94

Calls

3 calls:

23.0ms	(/ t (- a z))
15.0ms	(+ x (* (- y z) (/ t (- a z))))
98.0ms	(* (- y z) (/ t (- a z)))

series357.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ t (- a z))
161.0ms	(+ x (* (- y z) (/ t (- a z))))
137.0ms	(* (- y z) (/ t (- a z)))

simplify2.3s

Counts

103 → 103

Iterations

Useful iterations: 2 (403.0ms)

Iter	Nodes	Cost
0	154	1213
1	389	1144
2	1955	1060
done	5001	1060

prune824.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) t)
0.0b	(+ x (/ (- y z) (/ (- a z) t)))
12.3b	(/ (- y z) (/ (- a z) t))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
173×	`*-un-lft-identity`
171×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`

Counts

3 → 188

Calls

3 calls:

35.0ms	(/ (- a z) t)
128.0ms	(+ x (/ (- y z) (/ (- a z) t)))
55.0ms	(/ (- y z) (/ (- a z) t))

series420.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (- a z) t)
171.0ms	(+ x (/ (- y z) (/ (- a z) t)))
196.0ms	(/ (- y z) (/ (- a z) t))

simplify2.5s

Counts

197 → 197

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	273	3386
1	862	3203
2	4139	3065
done	5002	3059

prune1.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (/ (- y z) (- a z)) (/ 1 t)))
0.0b	(/ (- y z) (- a z))
1.9b	(/ (/ (- y z) (- a z)) (/ 1 t))

rewrite524.0ms

Algorithm

rewrite-expression-head

Rules

1066×	`times-frac`
699×	`*-un-lft-identity`
697×	`add-sqr-sqrt`
393×	`add-cube-cbrt`
152×	`distribute-lft-out--` `difference-of-squares`
48×	`div-inv`
36×	`associate-/l*`
31×	`associate-/r/`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`div-exp` `add-cbrt-cube`
16×	`flip3--` `flip--`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`pow1` `associate-/l/`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 537

Calls

3 calls:

287.0ms	(+ x (/ (/ (- y z) (- a z)) (/ 1 t)))
46.0ms	(/ (- y z) (- a z))
95.0ms	(/ (/ (- y z) (- a z)) (/ 1 t))

series454.0ms

Counts

3 → 9

Calls

3 calls:

155.0ms	(+ x (/ (/ (- y z) (- a z)) (/ 1 t)))
91.0ms	(/ (- y z) (- a z))
208.0ms	(/ (/ (- y z) (- a z)) (/ 1 t))

simplify1.9s

Counts

546 → 546

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	703	13604
1	2498	11889
done	5000	11759

prune2.5s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes948.0ms

Accuracy

80% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.7b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	57
1	27	57
done	27	57

end0.0ms

sample1.6s

Algorithm

intervals

Results

755.0ms	8691×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid