Details

sample65.0ms

Algorithm

intervals

Results

41.0ms	320×	body	80	valid
2.0ms	4×	body	640	valid
1.0ms	2×	body	1280	valid
1.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify4.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
17	1927
16	1894
15	1814
14	1786
13	1706
12	1673
11	1588
10	1558
9	1472
8	1435
7	1348
6	1255
5	998
4	545
3	219
2	82
1	30
0	12

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite486.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
13×	`distribute-lft-out`
8×	`associate-l`
6×	`add-sqr-sqrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`flip3-+` `associate-*l/` `flip-+` `insert-posit16`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

87.0ms	(+ (* y 5.0) (* (+ (+ (+ y z) (+ y z)) t) x))
399.0ms	(* (+ (+ (+ y z) (+ y z)) t) x)

series108.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ (* y 5.0) (* (+ (+ (+ y z) (+ y z)) t) x))
45.0ms	(* (+ (+ (+ y z) (+ y z)) t) x)

simplify600.0ms

Counts

44 → 44

Iterations

Iter	Nodes
done	2017
2	903
1	217
0	77

prune267.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2 (* x z)) (+ (* t x) (* 2 (* x y))))
0.0b	(+ (* y 5.0) (+ (* 2 (* x z)) (+ (* t x) (* 2 (* x y)))))
0.0b	(* 2 (* x z))
0.0b	(* 2 (* x y))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-log-exp`
14×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`sum-log`
6×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
4×	`insert-posit16`
2×	`+-commutative` `associate-+r+` `flip3-+` `associate-r` `*-commutative` `flip-+`

Counts

4 → 67

Calls

4 calls:

23.0ms	(+ (* 2 (* x z)) (+ (* t x) (* 2 (* x y))))
63.0ms	(+ (* y 5.0) (+ (* 2 (* x z)) (+ (* t x) (* 2 (* x y)))))
22.0ms	(* 2 (* x z))
22.0ms	(* 2 (* x y))

series213.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (* 2 (* x z)) (+ (* t x) (* 2 (* x y))))
86.0ms	(+ (* y 5.0) (+ (* 2 (* x z)) (+ (* t x) (* 2 (* x y)))))
35.0ms	(* 2 (* x z))
32.0ms	(* 2 (* x y))

simplify763.0ms

Counts

79 → 79

Iterations

Iter	Nodes
done	2000
2	1374
1	348
0	120

prune368.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

331×	`*-un-lft-identity`
221×	`distribute-lft-out`
120×	`cbrt-prod`
41×	`swap-sqr`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1` `associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `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 → 151

Calls

4 calls:

774.0ms	(* (cbrt (+ (+ (+ y z) (+ y z)) t)) (cbrt (+ (+ (+ y z) (+ y z)) t)))
90.0ms	(cbrt (+ (+ (+ y z) (+ y z)) t))
120.0ms	(cbrt (+ (+ (+ y z) (+ y z)) t))
86.0ms	(cbrt (+ (+ (+ y z) (+ y z)) t))

series1.5s

Counts

4 → 12

Calls

4 calls:

422.0ms	(* (cbrt (+ (+ (+ y z) (+ y z)) t)) (cbrt (+ (+ (+ y z) (+ y z)) t)))
345.0ms	(cbrt (+ (+ (+ y z) (+ y z)) t))
351.0ms	(cbrt (+ (+ (+ y z) (+ y z)) t))
372.0ms	(cbrt (+ (+ (+ y z) (+ y z)) t))

simplify848.0ms

Counts

163 → 163

Iterations

Iter	Nodes
done	2000
2	840
1	287
0	125

prune693.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(* (* x (+ y z)) 2)
0.0b	(+ (* 5.0 y) (* (* x (+ y z)) 2))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`associate-r`
6×	`add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
3×	`flip3-+` `flip-+` `insert-posit16`
2×	`associate-l/` `-commutative`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `distribute-lft-out` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

13.0ms	(* x (+ y z))
27.0ms	(* (* x (+ y z)) 2)
17.0ms	(+ (* 5.0 y) (* (* x (+ y z)) 2))

series147.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* x (+ y z))
55.0ms	(* (* x (+ y z)) 2)
51.0ms	(+ (* 5.0 y) (* (* x (+ y z)) 2))

simplify765.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	2004
2	1152
1	307
0	102

prune347.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes252.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	24
1	24
0	15

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.5s	10680×	body	80	valid
70.0ms	102×	body	640	valid
35.0ms	90×	body	1280	valid
17.0ms	67×	body	320	valid
5.0ms	33×	body	160	valid