Details

sample37.0ms

Algorithm

intervals

Results

13.0ms

318×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	25	7
3	40	7
4	50	7
5	56	7
6	132	7
7	349	7
8	1111	7
9	3907	7
done	5001	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

31.0ms	(* y (+ z x))
10.0ms	(+ x (* y (+ z x)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* y (+ z x))
55.0ms	(+ x (* y (+ z x)))

simplify666.0ms

Counts

42 → 42

Iterations

Useful iterations: 2 (131.0ms)

Iter	Nodes	Cost
0	67	376
1	202	348
2	811	318
done	5002	318

prune226.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

32.0ms	(+ x (+ (* y z) (* x y)))
16.0ms	(+ (* y z) (* x y))

series114.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ x (+ (* y z) (* x y)))
65.0ms	(+ (* y z) (* x y))

simplify901.0ms

Counts

31 → 31

Iterations

Useful iterations: done (899.0ms)

Iter	Nodes	Cost
0	52	400
1	171	300
2	919	280
done	5001	278

prune161.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
2.9b	(cbrt (* y (+ z x)))
2.9b	(cbrt (* y (+ z x)))
2.9b	(cbrt (* y (+ z x)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

41.0ms	(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
12.0ms	(cbrt (* y (+ z x)))
12.0ms	(cbrt (* y (+ z x)))
12.0ms	(cbrt (* y (+ z x)))

series729.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
167.0ms	(cbrt (* y (+ z x)))
169.0ms	(cbrt (* y (+ z x)))
165.0ms	(cbrt (* y (+ z x)))

simplify750.0ms

Counts

84 → 84

Iterations

Useful iterations: done (746.0ms)

Iter	Nodes	Cost
0	108	1142
1	274	1039
2	883	943
done	5001	893

prune612.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

2.9b	(cbrt (* y (+ z x)))
2.9b	(cbrt (* y (+ z x)))
2.9b	(cbrt (* y (+ z x)))
2.9b	(cbrt (* y (+ z x)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

12.0ms	(cbrt (* y (+ z x)))
13.0ms	(cbrt (* y (+ z x)))
23.0ms	(cbrt (* y (+ z x)))
14.0ms	(cbrt (* y (+ z x)))

series762.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt (* y (+ z x)))
179.0ms	(cbrt (* y (+ z x)))
204.0ms	(cbrt (* y (+ z x)))
191.0ms	(cbrt (* y (+ z x)))

simplify1.7s

Counts

56 → 56

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	55	576
1	137	560
2	282	508
3	695	488
4	3150	456
done	5000	448

prune463.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes177.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	11	9
done	11	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

477.0ms

10137×

body

valid