Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

264×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	17
2	17
1	10
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- y (* z t))
3.4b	(/ x (- y (* z t)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

5.0ms	(- y (* z t))
9.0ms	(/ x (- y (* z t)))

series97.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(- y (* z t))
46.0ms	(/ x (- y (* z t)))

simplify1.5s

Counts

49 → 49

Iterations

Iter	Nodes
done	5004
3	1355
2	459
1	165
0	76

prune278.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 3.3b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* z t))
0.5b	(/ 1 (/ (- y (* z t)) x))
3.2b	(/ (- y (* z t)) x)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*` `add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`insert-posit16`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `pow-flip` `inv-pow`

Counts

3 → 121

Calls

3 calls:

8.0ms	(- y (* z t))
27.0ms	(/ 1 (/ (- y (* z t)) x))
23.0ms	(/ (- y (* z t)) x)

series214.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- y (* z t))
128.0ms	(/ 1 (/ (- y (* z t)) x))
46.0ms	(/ (- y (* z t)) x)

simplify1.6s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
3	3606
2	1143
1	449
0	177

prune376.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 3.3b

localize25.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ x (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
6.7b	(cbrt (- y (* z t)))
6.7b	(cbrt (- y (* z t)))
6.7b	(cbrt (- y (* z t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

17.0ms	(/ x (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
3.0ms	(cbrt (- y (* z t)))
3.0ms	(cbrt (- y (* z t)))
3.0ms	(cbrt (- y (* z t)))

series564.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(/ x (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
123.0ms	(cbrt (- y (* z t)))
129.0ms	(cbrt (- y (* z t)))
129.0ms	(cbrt (- y (* z t)))

simplify1.5s

Counts

84 → 84

Iterations

Iter	Nodes
done	5002
3	2312
2	802
1	330
0	140

prune554.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 3.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(* (cbrt x) (cbrt x))
1.6b	(/ (- y (* z t)) (cbrt x))
2.1b	(/ (* (cbrt x) (cbrt x)) (/ (- y (* z t)) (cbrt x)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
62×	`add-sqr-sqrt`
54×	`*-un-lft-identity` `add-cube-cbrt`
49×	`cbrt-prod`
28×	`associate-/r*`
20×	`add-exp-log`
11×	`pow1` `add-cbrt-cube`
7×	`cbrt-undiv` `pow1/3` `div-exp`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`insert-posit16` `div-inv` `associate-/l*` `add-log-exp` `unswap-sqr`
3×	`prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `pow-prod-down` `pow-sqr` `pow-prod-up` `associate-/l/`
1×	`pow2` `pow-plus` `flip3--` `div-sub` `associate-/r/` `*-commutative` `flip--`

Counts

4 → 161

Calls

4 calls:

1.0ms	(cbrt x)
17.0ms	(* (cbrt x) (cbrt x))
22.0ms	(/ (- y (* z t)) (cbrt x))
38.0ms	(/ (* (cbrt x) (cbrt x)) (/ (- y (* z t)) (cbrt x)))

series897.0ms

Counts

4 → 12

Calls

4 calls:

274.0ms	(cbrt x)
295.0ms	(* (cbrt x) (cbrt x))
237.0ms	(/ (- y (* z t)) (cbrt x))
92.0ms	(/ (* (cbrt x) (cbrt x)) (/ (- y (* z t)) (cbrt x)))

simplify1.6s

Counts

173 → 173

Iterations

Iter	Nodes
done	5005
2	2397
1	611
0	222

prune627.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 3.3b

regimes323.0ms

Accuracy

0% (0.1b remaining)

Error of 2.6b against oracle of 2.5b and baseline of 2.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample973.0ms

Algorithm

intervals

Results

733.0ms

8378×

body

valid