Details

sample38.0ms

Algorithm

intervals

Results

24.0ms

286×

body

valid

simplify192.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	203
8	203
7	201
6	182
5	156
4	117
3	74
2	42
1	19
0	10

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

0.9b	(- (* y z) (* t z))
3.3b	(/ (* x 2.0) (- (* y z) (* t z)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt` `add-log-exp`
3×	`distribute-rgt-out--`
2×	`pow1` `cbrt-undiv` `flip3--` `div-exp` `associate-/r/` `insert-posit16` `flip--`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 40

Calls

2 calls:

10.0ms	(- (* y z) (* t z))
23.0ms	(/ (* x 2.0) (- (* y z) (* t z)))

series124.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- (* y z) (* t z))
82.0ms	(/ (* x 2.0) (- (* y z) (* t z)))

simplify1.3s

Counts

46 → 46

Iterations

Iter	Nodes
done	5003
2	973
1	223
0	80

prune188.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* z (- y t)) 2.0)
0.0b	(* z (- y t))
3.3b	(/ x (/ (* z (- y t)) 2.0))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 100

Calls

3 calls:

13.0ms	(/ (* z (- y t)) 2.0)
29.0ms	(* z (- y t))
14.0ms	(/ x (/ (* z (- y t)) 2.0))

series184.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(/ (* z (- y t)) 2.0)
43.0ms	(* z (- y t))
67.0ms	(/ x (/ (* z (- y t)) 2.0))

simplify1.5s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	1464
1	448
0	172

prune531.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ z (sqrt 2.0)) (/ (- y t) (sqrt 2.0)))
0.4b	(/ z (sqrt 2.0))
0.5b	(/ (- y t) (sqrt 2.0))
3.3b	(/ x (* (/ z (sqrt 2.0)) (/ (- y t) (sqrt 2.0))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-sqr-sqrt`
111×	`times-frac`
96×	`*-un-lft-identity`
70×	`add-cube-cbrt`
60×	`sqrt-prod`
38×	`add-cbrt-cube` `add-exp-log`
34×	`associate-r`
22×	`associate-l`
15×	`cbrt-undiv` `div-exp`
13×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
11×	`associate-/l*`
9×	`unswap-sqr`
8×	`prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`div-inv`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/r/`
2×	`frac-times` `associate-l/` `associate-r/` `associate-/l/`
1×	`flip3--` `div-sub` `pow-prod-down` `*-commutative` `flip--`

Counts

4 → 214

Calls

4 calls:

36.0ms	(* (/ z (sqrt 2.0)) (/ (- y t) (sqrt 2.0)))
4.0ms	(/ z (sqrt 2.0))
15.0ms	(/ (- y t) (sqrt 2.0))
13.0ms	(/ x (* (/ z (sqrt 2.0)) (/ (- y t) (sqrt 2.0))))

series767.0ms

Counts

4 → 12

Calls

4 calls:

310.0ms	(* (/ z (sqrt 2.0)) (/ (- y t) (sqrt 2.0)))
79.0ms	(/ z (sqrt 2.0))
112.0ms	(/ (- y t) (sqrt 2.0))
265.0ms	(/ x (* (/ z (sqrt 2.0)) (/ (- y t) (sqrt 2.0))))

simplify1.9s

Counts

226 → 226

Iterations

Iter	Nodes
done	5000
2	2459
1	718
0	251

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (/ 1 (* (cbrt (/ (* z (- y t)) 2.0)) (cbrt (/ (* z (- y t)) 2.0)))) (/ x (cbrt (/ (* z (- y t)) 2.0))))
13.1b	(cbrt (/ (* z (- y t)) 2.0))
13.1b	(cbrt (/ (* z (- y t)) 2.0))
13.1b	(cbrt (/ (* z (- y t)) 2.0))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

63×	`times-frac`
53×	`add-sqr-sqrt`
49×	`add-exp-log`
45×	`cbrt-prod`
35×	`-un-lft-identity` `associate-r*`
32×	`add-cube-cbrt`
20×	`prod-exp`
18×	`add-cbrt-cube`
15×	`div-exp`
10×	`associate-l`
9×	`unswap-sqr`
8×	`cbrt-div` `cbrt-unprod` `div-inv`
7×	`cbrt-undiv`
6×	`pow1`
4×	`rec-exp` `1-exp` `associate-/r/` `insert-posit16` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `associate-l/` `associate-r/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 138

Calls

4 calls:

47.0ms	(* (/ 1 (* (cbrt (/ (* z (- y t)) 2.0)) (cbrt (/ (* z (- y t)) 2.0)))) (/ x (cbrt (/ (* z (- y t)) 2.0))))
9.0ms	(cbrt (/ (* z (- y t)) 2.0))
11.0ms	(cbrt (/ (* z (- y t)) 2.0))
4.0ms	(cbrt (/ (* z (- y t)) 2.0))

series1.2s

Counts

4 → 12

Calls

4 calls:

271.0ms	(* (/ 1 (* (cbrt (/ (* z (- y t)) 2.0)) (cbrt (/ (* z (- y t)) 2.0)))) (/ x (cbrt (/ (* z (- y t)) 2.0))))
307.0ms	(cbrt (/ (* z (- y t)) 2.0))
291.0ms	(cbrt (/ (* z (- y t)) 2.0))
308.0ms	(cbrt (/ (* z (- y t)) 2.0))

simplify2.9s

Counts

150 → 150

Iterations

Iter	Nodes
done	5002
2	2492
1	657
0	227

prune885.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes369.0ms

Accuracy

41.3% (3.2b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 5.5b

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	21
1	21
0	18

end0.0ms

sample1.1s

Algorithm

intervals

Results

819.0ms

8737×

body

valid