Details

sample61.0ms

Algorithm

intervals

Results

25.0ms	332×	body	80	valid
2.0ms	7×	body	640	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid

simplify2.7s

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

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))

rewrite1.9s

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:

502.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
120.0ms	(+ (+ (+ y z) z) y)
21.0ms	(+ (+ y z) z)
1.2s	(* x (+ (+ (+ (+ y z) z) y) t))

series213.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
51.0ms	(+ (+ (+ y z) z) y)
30.0ms	(+ (+ y z) z)
49.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify736.0ms

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
2	1781
1	391
0	130

prune467.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite451.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
13×	`associate-l` `distribute-lft-out`
10×	`add-log-exp`
7×	`add-sqr-sqrt` `flip3-+` `flip-+`
6×	`associate-*l/`
5×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`sum-log` `distribute-lft1-in` `frac-add` `distribute-rgt1-in`
3×	`distribute-rgt-out` `associate-r`
2×	`+-commutative` `count-2`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 58

Calls

3 calls:

251.0ms	(+ (+ (* (+ (+ y y) (+ z z)) x) (* x t)) (* y 5.0))
43.0ms	(+ (* (+ (+ y y) (+ z z)) x) (* x t))
155.0ms	(* (+ (+ y y) (+ z z)) x)

series159.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ (+ (* (+ (+ y y) (+ z z)) x) (* x t)) (* y 5.0))
41.0ms	(+ (* (+ (+ y y) (+ z z)) x) (* x t))
41.0ms	(* (+ (+ y y) (+ z z)) x)

simplify915.0ms

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	2042
1	391
0	128

prune339.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

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

rewrite1.6s

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:

1.3s	(* (cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y))) (cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y))))
136.0ms	(cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y)))
106.0ms	(cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y)))
114.0ms	(cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y)))

series2.9s

Counts

4 → 12

Calls

4 calls:

1.2s	(* (cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y))) (cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y))))
547.0ms	(cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y)))
499.0ms	(cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y)))
581.0ms	(cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y)))

simplify703.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1521
1	465
0	185

prune769.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

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

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

180.0ms	(cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y)))
4.0ms	(cbrt (+ (* 5.0 y) (* x (+ t (* 2 (+ y z))))))
11.0ms	(cbrt (+ (* 5.0 y) (* x (+ t (* 2 (+ y z))))))
6.0ms	(cbrt (+ (* 5.0 y) (* x (+ t (* 2 (+ y z))))))

series2.6s

Counts

4 → 12

Calls

4 calls:

539.0ms	(cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y)))
660.0ms	(cbrt (+ (* 5.0 y) (* x (+ t (* 2 (+ y z))))))
724.0ms	(cbrt (+ (* 5.0 y) (* x (+ t (* 2 (+ y z))))))
638.0ms	(cbrt (+ (* 5.0 y) (* x (+ t (* 2 (+ y z))))))

simplify832.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5002
2	1379
1	369
0	141

prune772.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes419.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	13

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s	10577×	body	80	valid
52.0ms	86×	body	1280	valid
16.0ms	84×	body	640	valid
10.0ms	70×	body	320	valid
3.0ms	27×	body	160	valid