Details

sample29.0ms

Algorithm

intervals

Results

8.0ms

311×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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:

21.0ms	(+ x (* y (+ z x)))
25.0ms	(* y (+ z x))

series97.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ x (* y (+ z x)))
47.0ms	(* y (+ z x))

simplify529.0ms

Counts

42 → 42

Iterations

Useful iterations: 2 (153.0ms)

Iter	Nodes	Cost
0	67	376
1	202	348
2	812	318
done	5001	318

prune121.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
2.8b	(cbrt (* y (+ z x)))
2.8b	(cbrt (* y (+ z x)))
2.8b	(cbrt (* y (+ z x)))

rewrite74.0ms

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:

36.0ms	(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
11.0ms	(cbrt (* y (+ z x)))
11.0ms	(cbrt (* y (+ z x)))
12.0ms	(cbrt (* y (+ z x)))

series565.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
125.0ms	(cbrt (* y (+ z x)))
110.0ms	(cbrt (* y (+ z x)))
152.0ms	(cbrt (* y (+ z x)))

simplify669.0ms

Counts

84 → 84

Iterations

Useful iterations: done (666.0ms)

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

prune285.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

2.8b	(cbrt (* y (+ z x)))
2.8b	(cbrt (* y (+ z x)))
2.8b	(cbrt (* y (+ z x)))
2.8b	(cbrt (* y (+ z x)))

rewrite50.0ms

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:

10.0ms	(cbrt (* y (+ z x)))
10.0ms	(cbrt (* y (+ z x)))
10.0ms	(cbrt (* y (+ z x)))
18.0ms	(cbrt (* y (+ z x)))

series645.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt (* y (+ z x)))
174.0ms	(cbrt (* y (+ z x)))
155.0ms	(cbrt (* y (+ z x)))
152.0ms	(cbrt (* y (+ z x)))

simplify1.3s

Counts

56 → 56

Iterations

Useful iterations: done (1.3s)

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

prune380.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (+ z x))
0.2b	(* (sqrt (* y (+ z x))) (sqrt (* y (+ z x))))
2.2b	(sqrt (* y (+ z x)))
2.2b	(sqrt (* y (+ z x)))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `associate-r` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out`

Counts

4 → 106

Calls

4 calls:

31.0ms	(* y (+ z x))
94.0ms	(* (sqrt (* y (+ z x))) (sqrt (* y (+ z x))))
11.0ms	(sqrt (* y (+ z x)))
11.0ms	(sqrt (* y (+ z x)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* y (+ z x))
45.0ms	(* (sqrt (* y (+ z x))) (sqrt (* y (+ z x))))
57.0ms	(sqrt (* y (+ z x)))
67.0ms	(sqrt (* y (+ z x)))

simplify972.0ms

Counts

118 → 118

Iterations

Useful iterations: done (968.0ms)

Iter	Nodes	Cost
0	121	1368
1	313	1018
2	1381	928
done	5001	908

prune217.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
done	9	7

end0.0ms

sample772.0ms

Algorithm

intervals

Results

335.0ms

10070×

body

valid