Details

sample113.0ms

Algorithm

intervals

Results

77.0ms	271×	body	10240	exit
9.0ms	213×	body	80	valid
3.0ms	23×	body	320	valid
2.0ms	8×	body	640	valid
1.0ms	14×	body	160	valid

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 5 (212.0ms)

Iter	Nodes	Cost
0	8	16
1	20	15
2	48	15
3	105	15
4	190	14
5	621	12
6	2585	12
done	5001	12

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- wj (/ x (exp wj)))
0.0b	(/ (- wj (/ x (exp wj))) (+ wj 1))
0.0b	(/ x (exp wj))
4.5b	(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
40×	`times-frac`
24×	`add-cube-cbrt`
14×	`difference-of-squares`
9×	`associate-/l*`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log` `associate-/r*` `distribute-lft-out` `distribute-lft-out--`
4×	`pow1`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `associate-/r/` `div-inv` `associate-/l/`
1×	`flip3-+` `flip-+` `associate--r-`

Counts

4 → 109

Calls

4 calls:

12.0ms	(- wj (/ x (exp wj)))
74.0ms	(/ (- wj (/ x (exp wj))) (+ wj 1))
14.0ms	(/ x (exp wj))
75.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- wj (/ x (exp wj)))
73.0ms	(/ (- wj (/ x (exp wj))) (+ wj 1))
44.0ms	(/ x (exp wj))
75.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

simplify2.4s

Counts

121 → 121

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	182	1772
1	431	1678
2	1031	1613
3	2469	1608
done	5000	1608

prune406.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* wj (- wj (* 2 x))) x)
0.0b	(* wj (- wj (* 2 x)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

12.0ms	(+ (* wj (- wj (* 2 x))) x)
19.0ms	(* wj (- wj (* 2 x)))

series112.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (* wj (- wj (* 2 x))) x)
68.0ms	(* wj (- wj (* 2 x)))

simplify1.4s

Counts

45 → 45

Iterations

Useful iterations: 3 (559.0ms)

Iter	Nodes	Cost
0	71	519
1	189	487
2	517	445
3	1900	439
done	5000	439

prune155.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- wj (* 2 x))) (cbrt (- wj (* 2 x))))
0.6b	(cbrt (- wj (* 2 x)))
0.6b	(cbrt (- wj (* 2 x)))
0.6b	(cbrt (- wj (* 2 x)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

57.0ms	(* (cbrt (- wj (* 2 x))) (cbrt (- wj (* 2 x))))
6.0ms	(cbrt (- wj (* 2 x)))
7.0ms	(cbrt (- wj (* 2 x)))
7.0ms	(cbrt (- wj (* 2 x)))

series875.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(* (cbrt (- wj (* 2 x))) (cbrt (- wj (* 2 x))))
218.0ms	(cbrt (- wj (* 2 x)))
233.0ms	(cbrt (- wj (* 2 x)))
197.0ms	(cbrt (- wj (* 2 x)))

simplify3.6s

Counts

99 → 99

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	129	1635
1	274	1504
2	679	1418
3	1592	1281
4	3937	1225
done	5000	1180

prune508.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ wj 1))
0.0b	(/ (/ x (exp wj)) (+ wj 1))
0.0b	(/ x (exp wj))
7.8b	(- wj (/ wj (+ wj 1)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
108×	`*-un-lft-identity`
75×	`add-sqr-sqrt`
70×	`add-cube-cbrt`
19×	`associate-/l*`
18×	`distribute-lft-out`
13×	`add-cbrt-cube`
11×	`add-exp-log` `associate-/r*`
8×	`div-inv`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-/r/`
3×	`frac-2neg` `clear-num`
2×	`flip3-+` `flip-+` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 161

Calls

4 calls:

11.0ms	(/ wj (+ wj 1))
42.0ms	(/ (/ x (exp wj)) (+ wj 1))
10.0ms	(/ x (exp wj))
20.0ms	(- wj (/ wj (+ wj 1)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ wj (+ wj 1))
79.0ms	(/ (/ x (exp wj)) (+ wj 1))
36.0ms	(/ x (exp wj))
44.0ms	(- wj (/ wj (+ wj 1)))

simplify2.7s

Counts

173 → 173

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	255	2336
1	574	2195
2	1344	2107
3	3561	2098
done	5000	2098

prune568.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

regimes89.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	20
1	21	20
done	21	20

end0.0ms

sample6.6s

Algorithm

intervals

Results

4.4s	7537×	body	10240	exit
1.0s	459×	body	640	valid
374.0ms	6261×	body	80	valid
140.0ms	762×	body	320	valid
70.0ms	592×	body	160	valid