Details

sample19.0ms

Algorithm

intervals

Results

8.0ms	305×	body	80	valid
1.0ms	9×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify25.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	9	11
1	18	9
2	32	7
3	44	7
4	48	7
done	48	7

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d3 (+ 3.0 d2)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

29.0ms

(* d1 (+ d3 (+ 3.0 d2)))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* d1 (+ d3 (+ 3.0 d2)))

simplify1.2s

Counts

27 → 27

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	51	265
1	148	252
2	456	218
3	1874	218
done	5000	218

prune47.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* d3 d1) (* d1 (+ 3.0 d2)))
0.0b	(* d1 (+ 3.0 d2))

rewrite14.0ms

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:

3.0ms	(+ (* d3 d1) (* d1 (+ 3.0 d2)))
10.0ms	(* d1 (+ 3.0 d2))

series69.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* d3 d1) (* d1 (+ 3.0 d2)))
34.0ms	(* d1 (+ 3.0 d2))

simplify1.3s

Counts

42 → 42

Iterations

Useful iterations: 3 (324.0ms)

Iter	Nodes	Cost
0	72	422
1	211	384
2	632	324
3	2326	322
done	5000	322

prune87.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 3.0 d2))
0.3b	(cbrt (+ 3.0 d2))
0.3b	(* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))
0.3b	(* (* d1 (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))) (cbrt (+ 3.0 d2)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
36×	`cbrt-prod` `*-un-lft-identity`
35×	`flip3-+` `flip-+`
34×	`associate-*r/`
32×	`frac-times`
24×	`add-sqr-sqrt`
20×	`pow1`
16×	`add-cube-cbrt` `associate-*l/`
15×	`add-exp-log`
14×	`associate-r`
9×	`swap-sqr` `distribute-lft-out`
8×	`pow1/3` `associate-l` `pow-prod-down` `add-cbrt-cube`
7×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp` `unswap-sqr`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 132

Calls

4 calls:

2.0ms	(cbrt (+ 3.0 d2))
2.0ms	(cbrt (+ 3.0 d2))
23.0ms	(* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))
95.0ms	(* (* d1 (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))) (cbrt (+ 3.0 d2)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(cbrt (+ 3.0 d2))
94.0ms	(cbrt (+ 3.0 d2))
107.0ms	(* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))
34.0ms	(* (* d1 (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))) (cbrt (+ 3.0 d2)))

simplify889.0ms

Counts

144 → 144

Iterations

Useful iterations: 2 (186.0ms)

Iter	Nodes	Cost
0	226	2765
1	573	2590
2	1728	2298
done	5001	2298

prune350.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* d3 d1) (/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2)))
4.3b	(* d1 (- (* 3.0 3.0) (* d2 d2)))
11.6b	(/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-/r*` `add-log-exp`
4×	`associate-r/` `associate-r*`
3×	`flip3--` `associate-l` `flip--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out--`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

10.0ms	(+ (* d3 d1) (/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2)))
10.0ms	(* d1 (- (* 3.0 3.0) (* d2 d2)))
11.0ms	(/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2))

series240.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(+ (* d3 d1) (/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2)))
65.0ms	(* d1 (- (* 3.0 3.0) (* d2 d2)))
94.0ms	(/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2))

simplify690.0ms

Counts

74 → 74

Iterations

Useful iterations: 2 (197.0ms)

Iter	Nodes	Cost
0	139	1242
1	389	1169
2	1332	1011
done	5000	1011

prune163.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample504.0ms

Algorithm

intervals

Results

248.0ms	9569×	body	80	valid
20.0ms	228×	body	640	valid
11.0ms	158×	body	320	valid
9.0ms	81×	body	1280	valid
4.0ms	77×	body	160	valid