Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

289×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	60	11
4	95	11
5	136	11
6	165	11
7	190	11
8	224	11
9	271	11
10	364	11
11	541	11
12	710	11
13	738	11
14	742	11
done	742	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
7.6b	(/ (* (- y z) t) (- a z))

rewrite33.0ms

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:

11.0ms	(+ x (/ (* (- y z) t) (- a z)))
10.0ms	(* (- y z) t)
10.0ms	(/ (* (- y z) t) (- a z))

series165.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ x (/ (* (- y z) t) (- a z)))
27.0ms	(* (- y z) t)
64.0ms	(/ (* (- y z) t) (- a z))

simplify458.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	124	812
1	332	763
2	1318	685
done	5000	685

prune174.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- a z))
0.0b	(+ x (* (- y z) (/ t (- a z))))
11.0b	(* (- y z) (/ t (- a z)))

rewrite36.0ms

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:

5.0ms	(/ t (- a z))
3.0ms	(+ x (* (- y z) (/ t (- a z))))
24.0ms	(* (- y z) (/ t (- a z)))

series164.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ t (- a z))
73.0ms	(+ x (* (- y z) (/ t (- a z))))
63.0ms	(* (- y z) (/ t (- a z)))

simplify558.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (109.0ms)

Iter	Nodes	Cost
0	154	1213
1	371	1138
2	1495	1060
done	5001	1060

prune228.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (- a z) (* (- y z) t))))
0.0b	(* (- y z) t)
0.5b	(/ 1 (/ (- a z) (* (- y z) t)))
7.4b	(/ (- a z) (* (- y z) t))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
45×	`*-un-lft-identity`
44×	`add-sqr-sqrt`
32×	`add-exp-log`
28×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-l/` `associate-/r`
11×	`associate-/r/`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `flip3--` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares`
6×	`add-log-exp`
5×	`associate-l` `prod-exp`
3×	`rec-exp` `1-exp` `associate-r` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `inv-pow` `unswap-sqr`

Counts

4 → 137

Calls

4 calls:

22.0ms	(+ x (/ 1 (/ (- a z) (* (- y z) t))))
11.0ms	(* (- y z) t)
18.0ms	(/ 1 (/ (- a z) (* (- y z) t)))
11.0ms	(/ (- a z) (* (- y z) t))

series425.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(+ x (/ 1 (/ (- a z) (* (- y z) t))))
27.0ms	(* (- y z) t)
154.0ms	(/ 1 (/ (- a z) (* (- y z) t)))
78.0ms	(/ (- a z) (* (- y z) t))

simplify1.1s

Counts

149 → 149

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	214	2183
1	542	1998
2	2091	1708
done	5000	1700

prune309.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a z))
0.0b	(+ x (* (/ 1 (- a z)) (* t (- y z))))
0.0b	(* t (- y z))
7.7b	(* (/ 1 (- a z)) (* t (- y z)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`add-exp-log`
30×	`times-frac`
25×	`add-cube-cbrt`
24×	`associate-l`
20×	`add-cbrt-cube`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`prod-exp`
12×	`pow1`
10×	`sub-neg`
8×	`associate-+r+` `associate-*r/` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`div-exp` `associate-r` `add-log-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*`
2×	`frac-times` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `associate-*l/` `clear-num` `sum-log` `flip-+` `inv-pow` `unswap-sqr`

Counts

4 → 143

Calls

4 calls:

6.0ms	(/ 1 (- a z))
4.0ms	(+ x (* (/ 1 (- a z)) (* t (- y z))))
12.0ms	(* t (- y z))
28.0ms	(* (/ 1 (- a z)) (* t (- y z)))

series374.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ 1 (- a z))
157.0ms	(+ x (* (/ 1 (- a z)) (* t (- y z))))
33.0ms	(* t (- y z))
151.0ms	(* (/ 1 (- a z)) (* t (- y z)))

simplify1.1s

Counts

155 → 155

Iterations

Useful iterations: 2 (175.0ms)

Iter	Nodes	Cost
0	200	1868
1	536	1587
2	2172	1407
done	5000	1407

prune280.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes249.0ms

Accuracy

86.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.8b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	19	57
1	26	47
done	26	47

end0.0ms

sample529.0ms

Algorithm

intervals

Results

272.0ms

8764×

body

valid