Details

sample25.0ms

Algorithm

intervals

Results

9.0ms	329×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	160	valid

simplify826.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	12	15
1	30	15
2	83	15
3	252	13
4	599	13
5	824	13
6	838	13
done	838	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (+ (+ (+ y z) z) y) t))
0.0b	(+ (+ y z) z)
0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

1.1s	(* x (+ (+ (+ (+ y z) z) y) t))
32.0ms	(+ (+ y z) z)
108.0ms	(+ (+ (+ y z) z) y)
412.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series161.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
28.0ms	(+ (+ y z) z)
30.0ms	(+ (+ (+ y z) z) y)
62.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify577.0ms

Counts

83 → 83

Iterations

Useful iterations: done (575.0ms)

Iter	Nodes	Cost
0	130	1085
1	370	1004
2	1403	926
done	5001	915

prune169.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

rewrite2.7s

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

2.0s	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
246.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
250.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
251.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

series1.3s

Counts

4 → 12

Calls

4 calls:

436.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
304.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
295.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
294.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

simplify731.0ms

Counts

99 → 99

Iterations

Useful iterations: done (727.0ms)

Iter	Nodes	Cost
0	173	4040
1	408	3811
2	1196	3573
done	5000	2730

prune396.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (+ y z) z) y)
0.0b	(+ (/ (* (+ (+ y z) z) y) y) y)
0.0b	(+ (* x (+ (+ (/ (* (+ (+ y z) z) y) y) y) t)) (* y 5.0))
21.1b	(/ (* (+ (+ y z) z) y) y)

rewrite311.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
5×	`associate-l`
4×	`flip3-+` `associate-*l/` `flip-+` `distribute-lft-out`
3×	`times-frac` `associate-r` `associate-/r*`
2×	`cbrt-undiv` `+-commutative` `associate-+l+` `div-exp` `prod-exp` `sum-log` `cbrt-unprod` `associate-/l/`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

78.0ms	(* (+ (+ y z) z) y)
34.0ms	(+ (/ (* (+ (+ y z) z) y) y) y)
157.0ms	(+ (* x (+ (+ (/ (* (+ (+ y z) z) y) y) y) t)) (* y 5.0))
40.0ms	(/ (* (+ (+ y z) z) y) y)

series164.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (+ (+ y z) z) y)
32.0ms	(+ (/ (* (+ (+ y z) z) y) y) y)
66.0ms	(+ (* x (+ (+ (/ (* (+ (+ y z) z) y) y) y) t)) (* y 5.0))
27.0ms	(/ (* (+ (+ y z) z) y) y)

simplify1.3s

Counts

82 → 82

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	139	1236
1	396	970
2	1772	858
done	5001	851

prune204.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 5.0 y) (* x (+ (+ (+ (+ y z) z) y) t)))
0.1b	(sqrt (+ (* 5.0 y) (* x (+ (+ (+ (+ y z) z) y) t))))
0.1b	(sqrt (+ (* 5.0 y) (* x (+ (+ (+ (+ y z) z) y) t))))
0.3b	(* (sqrt (+ (* 5.0 y) (* x (+ (+ (+ (+ y z) z) y) t)))) (sqrt (+ (* 5.0 y) (* x (+ (+ (+ (+ y z) z) y) t)))))

rewrite374.0ms

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-r/` `associate-l/`
1×	`+-commutative` `pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

312.0ms	(+ (* 5.0 y) (* x (+ (+ (+ (+ y z) z) y) t)))
7.0ms	(sqrt (+ (* 5.0 y) (* x (+ (+ (+ (+ y z) z) y) t))))
7.0ms	(sqrt (+ (* 5.0 y) (* x (+ (+ (+ (+ y z) z) y) t))))
45.0ms	(* (sqrt (+ (* 5.0 y) (* x (+ (+ (+ (+ y z) z) y) t)))) (sqrt (+ (* 5.0 y) (* x (+ (+ (+ (+ y z) z) y) t)))))

series571.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ (* 5.0 y) (* x (+ (+ (+ (+ y z) z) y) t)))
221.0ms	(sqrt (+ (* 5.0 y) (* x (+ (+ (+ (+ y z) z) y) t))))
225.0ms	(sqrt (+ (* 5.0 y) (* x (+ (+ (+ (+ y z) z) y) t))))
61.0ms	(* (sqrt (+ (* 5.0 y) (* x (+ (+ (+ (+ y z) z) y) t)))) (sqrt (+ (* 5.0 y) (* x (+ (+ (+ (+ y z) z) y) t)))))

simplify605.0ms

Counts

112 → 112

Iterations

Useful iterations: done (602.0ms)

Iter	Nodes	Cost
0	119	3816
1	273	2777
2	934	2533
done	5000	2170

prune282.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes209.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	15
1	19	15
done	19	15

end0.0ms

sample688.0ms

Algorithm

intervals

Results

307.0ms	10570×	body	80	valid
12.0ms	91×	body	1280	valid
9.0ms	87×	body	640	valid
5.0ms	63×	body	320	valid
2.0ms	40×	body	160	valid