Details

sample40.0ms

Algorithm

intervals

Results

17.0ms

411×

body

valid

simplify39.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	15
1	26	15
2	46	15
3	70	15
4	76	15
done	76	15

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b	(+ (* x y) (* z t))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

11.0ms	(+ (+ (* x y) (* z t)) (* a b))
46.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
3.0ms	(+ (* x y) (* z t))

series297.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ (+ (* x y) (* z t)) (* a b))
207.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
34.0ms	(+ (* x y) (* z t))

simplify1.6s

Counts

47 → 47

Iterations

Useful iterations: 3 (392.0ms)

Iter	Nodes	Cost
0	85	777
1	273	719
2	977	689
3	3945	677
done	5000	677

prune145.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.3b	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
1.0b	(sqrt (+ (* x y) (* z t)))
1.0b	(sqrt (+ (* x y) (* z t)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

3.0ms	(+ (* x y) (* z t))
19.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms	(sqrt (+ (* x y) (* z t)))
3.0ms	(sqrt (+ (* x y) (* z t)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* x y) (* z t))
33.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
71.0ms	(sqrt (+ (* x y) (* z t)))
74.0ms	(sqrt (+ (* x y) (* z t)))

simplify1.3s

Counts

110 → 110

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	106	2066
1	233	1475
2	739	1367
3	2671	1304
done	5000	1300

prune342.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (sqrt (+ (* x y) (* z t)))) (sqrt (sqrt (+ (* x y) (* z t)))))
1.0b	(sqrt (+ (* x y) (* z t)))
1.0b	(sqrt (+ (* x y) (* z t)))
1.0b	(sqrt (+ (* x y) (* z t)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

75×	`sqrt-prod`
52×	`add-sqr-sqrt`
35×	`sqrt-pow1`
30×	`pow1` `sqrt-div`
19×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
15×	`swap-sqr`
9×	`flip3-+` `associate-r` `associate-l` `pow-prod-up` `flip-+` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-down` `pow-sqr`
4×	`frac-times` `add-log-exp`
3×	`rem-sqrt-square`
2×	`associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 128

Calls

4 calls:

28.0ms	(* (sqrt (sqrt (+ (* x y) (* z t)))) (sqrt (sqrt (+ (* x y) (* z t)))))
3.0ms	(sqrt (+ (* x y) (* z t)))
3.0ms	(sqrt (+ (* x y) (* z t)))
4.0ms	(sqrt (+ (* x y) (* z t)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (sqrt (sqrt (+ (* x y) (* z t)))) (sqrt (sqrt (+ (* x y) (* z t)))))
72.0ms	(sqrt (+ (* x y) (* z t)))
69.0ms	(sqrt (+ (* x y) (* z t)))
73.0ms	(sqrt (+ (* x y) (* z t)))

simplify1.3s

Counts

140 → 140

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	128	3042
1	257	1964
2	749	1850
3	2610	1765
done	5001	1757

prune409.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (sqrt (+ (* x y) (* z t))) (fabs (cbrt (+ (* x y) (* z t))))) (sqrt (cbrt (+ (* x y) (* z t)))))
1.0b	(sqrt (+ (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

14×	`sqrt-div`
11×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
9×	`add-exp-log` `cbrt-prod` `flip3-+` `associate-r` `sqrt-prod` `add-cbrt-cube` `flip-+`
8×	`associate-*l/`
4×	`frac-times` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `associate-*r/`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `*-commutative`

Counts

4 → 73

Calls

4 calls:

26.0ms	(* (* (sqrt (+ (* x y) (* z t))) (fabs (cbrt (+ (* x y) (* z t))))) (sqrt (cbrt (+ (* x y) (* z t)))))
3.0ms	(sqrt (+ (* x y) (* z t)))
2.0ms	(cbrt (+ (* x y) (* z t)))
2.0ms	(cbrt (+ (* x y) (* z t)))

series445.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (* (sqrt (+ (* x y) (* z t))) (fabs (cbrt (+ (* x y) (* z t))))) (sqrt (cbrt (+ (* x y) (* z t)))))
69.0ms	(sqrt (+ (* x y) (* z t)))
106.0ms	(cbrt (+ (* x y) (* z t)))
109.0ms	(cbrt (+ (* x y) (* z t)))

simplify2.4s

Counts

85 → 85

Iterations

Useful iterations: 3 (887.0ms)

Iter	Nodes	Cost
0	183	2173
1	476	2012
2	1426	1828
3	4888	1801
done	5000	1801

prune429.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes430.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	15
1	22	15
done	22	15

end0.0ms

sample1.2s

Algorithm

intervals

Results

579.0ms

13464×

body

valid