Details

sample26.0ms

Algorithm

intervals

Results

10.0ms	359×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify37.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	86	7
2	283	7
3	742	7
4	1197	7
5	1273	7
6	1273	7
done	1273	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.8s

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:

1.2s	(* x (+ (+ (+ (+ y z) z) y) t))
118.0ms	(+ (+ (+ y z) z) y)
27.0ms	(+ (+ y z) z)
441.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series162.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
32.0ms	(+ (+ (+ y z) z) y)
29.0ms	(+ (+ y z) z)
61.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify50.0ms

Counts

83 → 83

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	374	480
1	1624	434
2	5001	419
done	5001	419

prune185.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite605.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
23×	`add-log-exp`
15×	`distribute-lft-out`
12×	`sum-log`
8×	`add-sqr-sqrt` `flip3-+` `flip-+`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `associate-*l/` `add-cbrt-cube`
4×	`frac-add`
3×	`+-commutative` `associate-r`
2×	`associate-+l+`
1×	`associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

333.0ms	(* (+ (+ (+ y z) z) y) x)
117.0ms	(+ (+ (+ y z) z) y)
27.0ms	(+ (+ y z) z)
125.0ms	(+ (* (+ (+ (+ y z) z) y) x) (+ (* t x) (* y 5.0)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ (+ (+ y z) z) y) x)
38.0ms	(+ (+ (+ y z) z) y)
26.0ms	(+ (+ y z) z)
60.0ms	(+ (* (+ (+ (+ y z) z) y) x) (+ (* t x) (* y 5.0)))

simplify63.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	449	648
1	2020	600
2	5001	588
done	5001	588

prune211.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ y z) z) y)) (cbrt (+ (+ (+ y z) z) y)))
0.6b	(cbrt (+ (+ (+ y z) z) y))
0.6b	(cbrt (+ (+ (+ y z) z) y))
0.6b	(cbrt (+ (+ (+ y z) z) y))

rewrite730.0ms

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
78×	`distribute-lft-out`
70×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`swap-sqr`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `associate-r` `associate-l` `flip-+`
6×	`add-exp-log`
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 → 117

Calls

4 calls:

528.0ms	(* (cbrt (+ (+ (+ y z) z) y)) (cbrt (+ (+ (+ y z) z) y)))
65.0ms	(cbrt (+ (+ (+ y z) z) y))
64.0ms	(cbrt (+ (+ (+ y z) z) y))
67.0ms	(cbrt (+ (+ (+ y z) z) y))

series936.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(* (cbrt (+ (+ (+ y z) z) y)) (cbrt (+ (+ (+ y z) z) y)))
223.0ms	(cbrt (+ (+ (+ y z) z) y))
231.0ms	(cbrt (+ (+ (+ y z) z) y))
221.0ms	(cbrt (+ (+ (+ y z) z) y))

simplify51.0ms

Counts

129 → 129

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	304	1356
1	1020	1291
2	5002	1100
done	5002	1100

prune363.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* 2 (+ z y)) (cbrt x)) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-*l/` `add-log-exp`
3×	`pow1/3`
2×	`associate-*r/`
1×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 59

Calls

4 calls:

132.0ms	(* (* (* 2 (+ z y)) (cbrt x)) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series947.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (* (* 2 (+ z y)) (cbrt x)) (cbrt x))
176.0ms	(cbrt x)
397.0ms	(cbrt x)
206.0ms	(cbrt x)

simplify44.0ms

Counts

71 → 71

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	281	353
1	1384	295
2	5001	273
done	5001	273

prune210.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes192.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	8
1	21	8
done	21	8

end0.0ms

sample689.0ms

Algorithm

intervals

Results

303.0ms	10718×	body	80	valid
13.0ms	86×	body	1280	valid
10.0ms	94×	body	640	valid
5.0ms	62×	body	320	valid
1.0ms	29×	body	160	valid