Details

sample48.0ms

Algorithm

intervals

Results

20.0ms

277×

body

valid

simplify222.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	239
8	239
7	236
6	216
5	179
4	132
3	82
2	44
1	19
0	10

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

1.1b	(- (* y z) (* t z))
5.4b	(/ (* x 2.0) (- (* y z) (* t z)))

rewrite26.0ms

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/` `flip--`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 38

Calls

2 calls:

6.0ms	(- (* y z) (* t z))
18.0ms	(/ (* x 2.0) (- (* y z) (* t z)))

series127.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(- (* y z) (* t z))
74.0ms	(/ (* x 2.0) (- (* y z) (* t z)))

simplify939.0ms

Counts

44 → 44

Iterations

Iter	Nodes
done	5001
2	1071
1	218
0	78

prune210.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (/ 2.0 z) (- y t))
5.2b	(* x (/ (/ 2.0 z) (- y t)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

232×	`times-frac`
171×	`add-sqr-sqrt`
162×	`*-un-lft-identity`
108×	`add-cube-cbrt`
71×	`associate-r`
27×	`distribute-lft-out--` `difference-of-squares`
16×	`add-cbrt-cube` `add-exp-log`
13×	`div-inv` `associate-/l*`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r*`
4×	`pow1` `associate-/r/`
3×	`associate-l` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`flip3--` `flip--` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

2 → 193

Calls

2 calls:

19.0ms	(/ (/ 2.0 z) (- y t))
72.0ms	(* x (/ (/ 2.0 z) (- y t)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ (/ 2.0 z) (- y t))
70.0ms	(* x (/ (/ 2.0 z) (- y t)))

simplify1.5s

Counts

199 → 199

Iterations

Iter	Nodes
done	5001
2	3728
1	788
0	274

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)
4.1b	(* (/ (* x (sqrt 2.0)) (* (cbrt z) (cbrt z))) (/ (/ (sqrt 2.0) (cbrt z)) (- y t)))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

390×	`times-frac`
275×	`add-sqr-sqrt`
254×	`*-un-lft-identity`
206×	`associate-r`
174×	`add-cube-cbrt`
101×	`cbrt-prod`
92×	`sqrt-prod`
73×	`add-exp-log`
56×	`add-cbrt-cube`
40×	`distribute-lft-out--` `difference-of-squares`
27×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`div-inv`
6×	`pow1` `unswap-sqr`
5×	`associate-l`
4×	`add-log-exp`
3×	`pow1/3`
2×	`associate-/r/`
1×	`frac-times` `flip3--` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `flip--`

Counts

4 → 292

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
198.0ms	(* (/ (* x (sqrt 2.0)) (* (cbrt z) (cbrt z))) (/ (/ (sqrt 2.0) (cbrt z)) (- y t)))

series1.2s

Counts

4 → 12

Calls

4 calls:

315.0ms	(cbrt z)
267.0ms	(cbrt z)
301.0ms	(cbrt z)
271.0ms	(* (/ (* x (sqrt 2.0)) (* (cbrt z) (cbrt z))) (/ (/ (sqrt 2.0) (cbrt z)) (- y t)))

simplify1.1s

Counts

304 → 304

Iterations

Iter	Nodes
done	5001
1	1786
0	464

prune1.5s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (sqrt 2.0) z) (- y t))
0.4b	(* x (sqrt 2.0))
0.5b	(/ (sqrt 2.0) z)
5.2b	(* (* x (sqrt 2.0)) (/ (/ (sqrt 2.0) z) (- y t)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

436×	`times-frac`
305×	`add-sqr-sqrt`
301×	`*-un-lft-identity`
211×	`add-cube-cbrt`
122×	`associate-r`
115×	`sqrt-prod`
45×	`distribute-lft-out--` `difference-of-squares`
34×	`add-cbrt-cube` `add-exp-log`
28×	`associate-/l*`
14×	`div-inv`
11×	`pow1`
10×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
8×	`associate-/r*`
4×	`associate-l` `pow-prod-down` `associate-/r/` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3--` `*-commutative` `flip--` `unswap-sqr`
1×	`associate-*r/` `associate-/l/`

Counts

4 → 355

Calls

4 calls:

32.0ms	(/ (/ (sqrt 2.0) z) (- y t))
17.0ms	(* x (sqrt 2.0))
8.0ms	(/ (sqrt 2.0) z)
60.0ms	(* (* x (sqrt 2.0)) (/ (/ (sqrt 2.0) z) (- y t)))

series440.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(/ (/ (sqrt 2.0) z) (- y t))
64.0ms	(* x (sqrt 2.0))
64.0ms	(/ (sqrt 2.0) z)
198.0ms	(* (* x (sqrt 2.0)) (/ (/ (sqrt 2.0) z) (- y t)))

simplify751.0ms

Counts

367 → 367

Iterations

Iter	Nodes
done	5001
1	1261
0	381

prune1.9s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes769.0ms

Accuracy

96.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 5.0b

bsearch1.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	32
1	32
0	29

end0.0ms

sample1.2s

Algorithm

intervals

Results

661.0ms

8743×

body

valid