Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

284×

body

valid

simplify683.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	17	9
2	24	9
3	48	9
4	67	9
5	92	9
6	109	9
7	125	9
8	136	9
9	142	9
10	144	9
11	147	9
12	164	9
13	185	9
14	208	9
15	236	9
16	266	9
17	340	9
18	429	9
19	442	9
20	444	9
done	444	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

11.0ms	(/ (- x y) (- z y))
28.0ms	(* (/ (- x y) (- z y)) t)

series149.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- x y) (- z y))
96.0ms	(* (/ (- x y) (- z y)) t)

simplify1.5s

Counts

108 → 108

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	143	1303
1	361	1269
2	924	1185
3	3397	1185
done	5000	1183

prune220.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z y))
0.5b	(cbrt (- z y))
0.5b	(* (cbrt (- z y)) (cbrt (- z y)))
7.1b	(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-exp-log`
45×	`prod-exp`
38×	`cbrt-prod`
36×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
31×	`add-cbrt-cube`
28×	`cbrt-div`
23×	`associate-l`
19×	`div-exp` `cbrt-unprod`
16×	`pow1` `add-cube-cbrt`
14×	`flip3--` `flip--`
10×	`swap-sqr`
9×	`cbrt-undiv` `frac-times` `associate-r`
8×	`pow1/3` `associate-/r/` `distribute-lft-out--`
7×	`associate-*l/`
6×	`rec-exp` `1-exp` `difference-of-squares`
5×	`associate-*r/` `pow-prod-down`
4×	`add-log-exp` `unswap-sqr`
3×	`times-frac`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus` `div-inv`

Counts

4 → 145

Calls

4 calls:

2.0ms	(cbrt (- z y))
2.0ms	(cbrt (- z y))
20.0ms	(* (cbrt (- z y)) (cbrt (- z y)))
90.0ms	(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

series594.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt (- z y))
155.0ms	(cbrt (- z y))
128.0ms	(* (cbrt (- z y)) (cbrt (- z y)))
159.0ms	(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

simplify839.0ms

Counts

157 → 157

Iterations

Useful iterations: done (835.0ms)

Iter	Nodes	Cost
0	231	2931
1	608	2639
2	2227	1975
done	5000	1967

prune369.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- z y))
10.3b	(* (- x y) (/ t (- z y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 83

Calls

2 calls:

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

series92.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ t (- z y))
65.0ms	(* (- x y) (/ t (- z y)))

simplify2.2s

Counts

89 → 89

Iterations

Useful iterations: 2 (296.0ms)

Iter	Nodes	Cost
0	130	977
1	294	931
2	1112	857
3	4838	857
done	5000	857

prune179.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x y) t)
10.1b	(/ (* (- x y) t) (- z y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-l` `associate-/r*`
4×	`pow1` `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/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

10.0ms	(* (- x y) t)
9.0ms	(/ (* (- x y) t) (- z y))

series93.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- x y) t)
64.0ms	(/ (* (- x y) t) (- z y))

simplify969.0ms

Counts

57 → 57

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	101	565
1	256	545
2	1016	471
done	5000	471

prune111.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (2.2b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	9	9
done	9	9

end0.0ms

sample433.0ms

Algorithm

intervals

Results

226.0ms

8683×

body

valid