Details

sample39.0ms

Algorithm

intervals

Results

15.0ms	347×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4790
5	1929
4	875
3	286
2	89
1	30
0	12

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.3s

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-cbrt-cube` `add-exp-log` `add-cube-cbrt`
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:

537.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
146.0ms	(+ (+ (+ y z) z) y)
42.0ms	(+ (+ y z) z)
1.6s	(* x (+ (+ (+ (+ y z) z) y) t))

series304.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
69.0ms	(+ (+ (+ y z) z) y)
53.0ms	(+ (+ y z) z)
75.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify853.0ms

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
2	1781
1	391
0	130

prune460.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ z z) y)) (cbrt (+ (+ z z) y)))
0.5b	(cbrt (+ (+ z z) y))
0.5b	(cbrt (+ (+ z z) y))
0.5b	(cbrt (+ (+ z z) y))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

185.0ms	(* (cbrt (+ (+ z z) y)) (cbrt (+ (+ z z) y)))
16.0ms	(cbrt (+ (+ z z) y))
16.0ms	(cbrt (+ (+ z z) y))
25.0ms	(cbrt (+ (+ z z) y))

series1.4s

Counts

4 → 12

Calls

4 calls:

359.0ms	(* (cbrt (+ (+ z z) y)) (cbrt (+ (+ z z) y)))
357.0ms	(cbrt (+ (+ z z) y))
296.0ms	(cbrt (+ (+ z z) y))
387.0ms	(cbrt (+ (+ z z) y))

simplify774.0ms

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
2	1225
1	312
0	130

prune748.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

144.0ms	(cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y)))
155.0ms	(cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y)))
190.0ms	(cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y)))
1.5s	(* (cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y))) (cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y))))

series3.6s

Counts

4 → 12

Calls

4 calls:

615.0ms	(cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y)))
698.0ms	(cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y)))
666.0ms	(cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y)))
1.6s	(* (cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y))) (cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y))))

simplify882.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1526
1	465
0	185

prune917.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y))) (cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y))))
0.6b	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
0.6b	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
0.6b	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

1.4s	(* (cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y))) (cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y))))
7.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
8.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
23.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))

series3.6s

Counts

4 → 12

Calls

4 calls:

1.7s	(* (cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y))) (cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y))))
703.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
632.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
622.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))

simplify1.0s

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
2	1934
1	568
0	232

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes540.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	12

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.4s	10536×	body	80	valid
29.0ms	93×	body	1280	valid
24.0ms	97×	body	640	valid
14.0ms	74×	body	320	valid
5.0ms	35×	body	160	valid