Details

sample28.0ms

Algorithm

intervals

Results

17.0ms

276×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
24	4971
23	4719
22	4472
21	4219
20	3966
19	3718
18	3457
17	3189
16	2922
15	2654
14	2345
13	1967
12	1369
11	756
10	502
9	395
8	317
7	231
6	150
5	116
4	85
3	55
2	33
1	17
0	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt`
5×	`pow1` `associate-/r` `times-frac` `associate-l*` `add-log-exp`
4×	`associate-*l/`
3×	`flip3--` `associate-r` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

25.0ms	(* (- y z) t)
23.0ms	(+ x (/ (* (- y z) t) (- a z)))
37.0ms	(/ (* (- y z) t) (- a z))

series250.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* (- y z) t)
107.0ms	(+ x (/ (* (- y z) t) (- a z)))
107.0ms	(/ (* (- y z) t) (- a z))

simplify1.4s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
2	1146
1	337
0	127

prune389.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
4.3b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`times-frac`
32×	`cbrt-prod`
30×	`associate-r`
25×	`add-exp-log`
24×	`add-cube-cbrt`
20×	`cbrt-div`
18×	`add-cbrt-cube`
17×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `associate-l/` `associate-r/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 126

Calls

4 calls:

3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
89.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series702.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt (- a z))
156.0ms	(cbrt (- a z))
206.0ms	(cbrt (- a z))
166.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify2.5s

Counts

138 → 138

Iterations

Iter	Nodes
done	5001
2	2342
1	608
0	213

prune804.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (- a z)))
0.6b	(cbrt (cbrt (- a z)))
0.6b	(cbrt (cbrt (- a z)))
3.2b	(* (/ (- y z) (* (* (cbrt (cbrt (- a z))) (cbrt (- a z))) (* (cbrt (cbrt (- a z))) (cbrt (- a z))))) (/ t (cbrt (cbrt (- a z)))))

rewrite508.0ms

Algorithm

rewrite-expression-head

Rules

340×	`cbrt-div`
137×	`frac-times`
112×	`flip3--` `flip--`
89×	`associate-l`
84×	`cbrt-prod`
82×	`associate-/r/`
69×	`add-sqr-sqrt`
60×	`add-exp-log`
48×	`times-frac`
47×	`*-un-lft-identity`
45×	`associate-l/` `associate-r/`
39×	`associate-r`
38×	`add-cbrt-cube`
33×	`add-cube-cbrt`
28×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
8×	`unswap-sqr`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 230

Calls

4 calls:

3.0ms	(cbrt (cbrt (- a z)))
3.0ms	(cbrt (cbrt (- a z)))
3.0ms	(cbrt (cbrt (- a z)))
484.0ms	(* (/ (- y z) (* (* (cbrt (cbrt (- a z))) (cbrt (- a z))) (* (cbrt (cbrt (- a z))) (cbrt (- a z))))) (/ t (cbrt (cbrt (- a z)))))

series743.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt (cbrt (- a z)))
168.0ms	(cbrt (cbrt (- a z)))
214.0ms	(cbrt (cbrt (- a z)))
143.0ms	(* (/ (- y z) (* (* (cbrt (cbrt (- a z))) (cbrt (- a z))) (* (cbrt (cbrt (- a z))) (cbrt (- a z))))) (/ t (cbrt (cbrt (- a z)))))

simplify1.9s

Counts

242 → 242

Iterations

Iter	Nodes
done	5000
1	1231
0	402

prune2.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

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-cbrt-cube` `add-exp-log` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub` `insert-posit16`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3-+` `associate-/r/` `flip-+` `distribute-lft-out`

Counts

3 → 191

Calls

3 calls:

18.0ms	(/ (- a z) t)
21.0ms	(+ x (/ (- y z) (/ (- a z) t)))
19.0ms	(/ (- y z) (/ (- a z) t))

series296.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ (- a z) t)
96.0ms	(+ x (/ (- y z) (/ (- a z) t)))
156.0ms	(/ (- y z) (/ (- a z) t))

simplify2.1s

Counts

200 → 200

Iterations

Iter	Nodes
done	5000
2	2431
1	859
0	276

prune959.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes495.0ms

Accuracy

73.1% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.5b

bsearch1.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	26
1	26
0	19

end0.0ms

sample1.6s

Algorithm

intervals

Results

838.0ms	8708×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid