Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

337×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	44	9
4	74	9
5	102	9
6	120	9
7	140	9
8	181	9
9	257	9
10	343	9
11	380	9
12	431	9
13	466	9
14	502	9
15	592	9
16	822	9
17	1106	9
18	1653	9
19	2133	9
20	2187	9
done	2187	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (/ (* y (- z x)) t))
8.3b	(/ (* y (- z x)) t)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `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` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

9.0ms	(* y (- z x))
4.0ms	(+ x (/ (* y (- z x)) t))
6.0ms	(/ (* y (- z x)) t)

series126.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* y (- z x))
37.0ms	(+ x (/ (* y (- z x)) t))
52.0ms	(/ (* y (- z x)) t)

simplify1.8s

Counts

70 → 70

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	113	722
1	290	679
2	854	589
3	3872	589
done	5001	588

prune140.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- z x) (/ t y)))
5.5b	(/ (- z x) (/ t y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 114

Calls

2 calls:

26.0ms	(+ x (/ (- z x) (/ t y)))
11.0ms	(/ (- z x) (/ t y))

series83.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (/ (- z x) (/ t y)))
47.0ms	(/ (- z x) (/ t y))

simplify791.0ms

Counts

120 → 120

Iterations

Useful iterations: 2 (279.0ms)

Iter	Nodes	Cost
0	217	1896
1	604	1758
2	1816	1680
done	5001	1680

prune287.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
1.7b	(/ (- z x) (/ (* (cbrt t) (cbrt t)) (* (cbrt y) (cbrt y))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac`
22×	`add-exp-log`
19×	`add-cube-cbrt`
14×	`add-cbrt-cube`
9×	`cbrt-undiv` `cbrt-prod` `div-exp`
7×	`div-inv`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`pow1` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`associate-/l/`
1×	`flip3--` `frac-2neg` `div-sub` `clear-num` `associate-/r/` `flip--`

Counts

4 → 92

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)
16.0ms	(/ (- z x) (/ (* (cbrt t) (cbrt t)) (* (cbrt y) (cbrt y))))

series660.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt y)
186.0ms	(cbrt y)
175.0ms	(cbrt y)
119.0ms	(/ (- z x) (/ (* (cbrt t) (cbrt t)) (* (cbrt y) (cbrt y))))

simplify614.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (175.0ms)

Iter	Nodes	Cost
0	177	1714
1	486	1625
2	1721	1282
done	5000	1282

prune347.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- z x) (/ 1 (/ t y))))
0.9b	(/ 1 (/ t y))
5.0b	(* (- z x) (/ 1 (/ t y)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

147×	`times-frac`
97×	`add-sqr-sqrt`
85×	`*-un-lft-identity`
81×	`add-cube-cbrt`
44×	`associate-r`
33×	`add-exp-log`
17×	`add-cbrt-cube`
14×	`div-exp`
13×	`associate-/r*`
9×	`div-inv`
7×	`prod-exp`
6×	`pow1` `cbrt-undiv`
5×	`associate-l` `add-log-exp` `unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`cbrt-unprod` `associate-/l*`
2×	`frac-times` `flip3--` `associate-*l/` `associate-/r/` `flip--`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `flip-+` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

3 → 166

Calls

3 calls:

2.0ms	(+ x (* (- z x) (/ 1 (/ t y))))
5.0ms	(/ 1 (/ t y))
27.0ms	(* (- z x) (/ 1 (/ t y)))

series91.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ x (* (- z x) (/ 1 (/ t y))))
8.0ms	(/ 1 (/ t y))
48.0ms	(* (- z x) (/ 1 (/ t y)))

simplify1.0s

Counts

175 → 175

Iterations

Useful iterations: 2 (326.0ms)

Iter	Nodes	Cost
0	259	2262
1	651	1733
2	1639	1484
done	5000	1484

prune323.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	16	25
1	20	23
done	20	23

end0.0ms

sample538.0ms

Algorithm

intervals

Results

281.0ms

10571×

body

valid