Details

sample36.0ms

Algorithm

intervals

Results

15.0ms	347×	body	80	valid
1.0ms	3×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid

simplify3.0s

Counts

1 → 1

Iterations

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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:

591.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
157.0ms	(+ (+ (+ y z) z) y)
44.0ms	(+ (+ y z) z)
1.5s	(* x (+ (+ (+ (+ y z) z) y) t))

series243.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
59.0ms	(+ (+ (+ y z) z) y)
46.0ms	(+ (+ y z) z)
63.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify809.0ms

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
2	1781
1	391
0	130

prune507.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

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))

rewrite251.0ms

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:

193.0ms	(* (cbrt (+ (+ z z) y)) (cbrt (+ (+ z z) y)))
15.0ms	(cbrt (+ (+ z z) y))
20.0ms	(cbrt (+ (+ z z) y))
15.0ms	(cbrt (+ (+ z z) y))

series1.4s

Counts

4 → 12

Calls

4 calls:

402.0ms	(* (cbrt (+ (+ z z) y)) (cbrt (+ (+ z z) y)))
352.0ms	(cbrt (+ (+ z z) y))
324.0ms	(cbrt (+ (+ z z) y))
329.0ms	(cbrt (+ (+ z z) y))

simplify1.1s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
2	1225
1	312
0	130

prune785.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

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))))

rewrite1.9s

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:

164.0ms	(cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y)))
186.0ms	(cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y)))
122.0ms	(cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y)))
1.4s	(* (cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y))) (cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y))))

series3.2s

Counts

4 → 12

Calls

4 calls:

603.0ms	(cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y)))
581.0ms	(cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y)))
571.0ms	(cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y)))
1.4s	(* (cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y))) (cbrt (+ (* (+ (+ (+ y y) (+ z z)) t) x) (* 5.0 y))))

simplify887.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1526
1	465
0	185

prune812.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize92.0ms

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

series3.1s

Counts

4 → 12

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))))
540.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
563.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
567.0ms	(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

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes516.0ms

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

sample1.6s

Algorithm

intervals

Results

944.0ms	10536×	body	80	valid
26.0ms	93×	body	1280	valid
21.0ms	97×	body	640	valid
13.0ms	74×	body	320	valid
4.0ms	35×	body	160	valid