Details

sample52.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
16.0ms	263×	body	80	nan

simplify22.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	42
4	42
3	41
2	32
1	21
0	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.2b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ y z) x)
0.8b	(+ (* z y) (* (+ y z) x))
19.2b	(sqrt (+ (* z y) (* (+ y z) x)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`pow1` `add-cube-cbrt`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`associate-l`
3×	`flip3-+` `associate-r` `sqrt-prod` `flip-+` `insert-posit16`
2×	`sqrt-div` `associate-*l/`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 50

Calls

3 calls:

22.0ms	(* (+ y z) x)
12.0ms	(+ (* z y) (* (+ y z) x))
10.0ms	(sqrt (+ (* z y) (* (+ y z) x)))

series179.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* (+ y z) x)
29.0ms	(+ (* z y) (* (+ y z) x))
123.0ms	(sqrt (+ (* z y) (* (+ y z) x)))

simplify2.3s

Counts

59 → 59

Iterations

Iter	Nodes
done	5003
3	3285
2	773
1	257
0	100

prune244.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 19.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.8b	(+ (* z y) (* (+ y z) x))
0.8b	(+ (* z y) (* (+ y z) x))
19.2b	(sqrt (+ (* z y) (* (+ y z) x)))
19.2b	(sqrt (+ (* z y) (* (+ y z) x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16`
2×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

4 → 56

Calls

4 calls:

8.0ms	(+ (* z y) (* (+ y z) x))
8.0ms	(+ (* z y) (* (+ y z) x))
6.0ms	(sqrt (+ (* z y) (* (+ y z) x)))
6.0ms	(sqrt (+ (* z y) (* (+ y z) x)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* z y) (* (+ y z) x))
23.0ms	(+ (* z y) (* (+ y z) x))
138.0ms	(sqrt (+ (* z y) (* (+ y z) x)))
128.0ms	(sqrt (+ (* z y) (* (+ y z) x)))

simplify1.5s

Counts

68 → 68

Iterations

Iter	Nodes
done	5003
3	2926
2	657
1	182
0	66

prune471.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 19.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ y z))
0.6b	(* (cbrt (+ y z)) (cbrt (+ y z)))
0.8b	(+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x)))
19.2b	(sqrt (+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
28×	`cbrt-prod`
23×	`add-sqr-sqrt`
14×	`cbrt-div` `add-cube-cbrt`
12×	`pow1`
9×	`flip3-+` `swap-sqr` `flip-+`
7×	`pow1/3` `associate-r` `associate-l` `distribute-lft-out`
6×	`add-exp-log` `add-log-exp`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `unswap-sqr`
3×	`sqrt-prod`
2×	`sqrt-div` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow-plus` `pow1/2` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 97

Calls

4 calls:

4.0ms	(cbrt (+ y z))
40.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
19.0ms	(+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x)))
6.0ms	(sqrt (+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x))))

series610.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (+ y z))
197.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
65.0ms	(+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x)))
176.0ms	(sqrt (+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x))))

simplify2.8s

Counts

109 → 109

Iterations

Iter	Nodes
done	5002
3	4935
2	1292
1	446
0	179

prune641.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 18.9b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (+ y z)))
0.6b	(cbrt (cbrt (+ y z)))
0.8b	(+ (* z y) (* (* (* (cbrt (+ y z)) (* (cbrt (cbrt (+ y z))) (cbrt (cbrt (+ y z))))) (cbrt (cbrt (+ y z)))) (* (cbrt (+ y z)) x)))
19.2b	(sqrt (+ (* z y) (* (* (* (cbrt (+ y z)) (* (cbrt (cbrt (+ y z))) (cbrt (cbrt (+ y z))))) (cbrt (cbrt (+ y z)))) (* (cbrt (+ y z)) x))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
13×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
9×	`add-cube-cbrt`
8×	`cbrt-div`
6×	`add-log-exp`
5×	`pow1`
4×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16`
3×	`sqrt-prod`
2×	`pow1/3` `sqrt-div` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

4 → 64

Calls

4 calls:

6.0ms	(cbrt (cbrt (+ y z)))
6.0ms	(cbrt (cbrt (+ y z)))
20.0ms	(+ (* z y) (* (* (* (cbrt (+ y z)) (* (cbrt (cbrt (+ y z))) (cbrt (cbrt (+ y z))))) (cbrt (cbrt (+ y z)))) (* (cbrt (+ y z)) x)))
11.0ms	(sqrt (+ (* z y) (* (* (* (cbrt (+ y z)) (* (cbrt (cbrt (+ y z))) (cbrt (cbrt (+ y z))))) (cbrt (cbrt (+ y z)))) (* (cbrt (+ y z)) x))))

series907.0ms

Counts

4 → 12

Calls

4 calls:

288.0ms	(cbrt (cbrt (+ y z)))
296.0ms	(cbrt (cbrt (+ y z)))
93.0ms	(+ (* z y) (* (* (* (cbrt (+ y z)) (* (cbrt (cbrt (+ y z))) (cbrt (cbrt (+ y z))))) (cbrt (cbrt (+ y z)))) (* (cbrt (+ y z)) x)))
230.0ms	(sqrt (+ (* z y) (* (* (* (cbrt (+ y z)) (* (cbrt (cbrt (+ y z))) (cbrt (cbrt (+ y z))))) (cbrt (cbrt (+ y z)))) (* (cbrt (+ y z)) x))))

simplify1.8s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	1091
1	325
0	136

prune443.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 18.9b

regimes344.0ms

Accuracy

0% (0.2b remaining)

Error of 18.8b against oracle of 18.6b and baseline of 18.8b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	10

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s	8103×	body	80	nan
724.0ms	8000×	body	80	valid