Details

sample65.0ms

Algorithm

intervals

Results

42.0ms	232×	body	10240	exit
5.0ms	191×	body	80	valid
2.0ms	15×	body	640	valid
2.0ms	26×	body	320	valid
2.0ms	27×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 5 (74.0ms)

Iter	Nodes	Cost
0	8	16
1	20	15
2	48	15
3	105	15
4	190	14
5	423	12
6	1564	12
done	5000	12

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (exp wj))
0.0b	(/ (- (/ x (exp wj)) wj) (+ wj 1))
7.2b	(+ (/ (- (/ x (exp wj)) wj) (+ wj 1)) wj)

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
38×	`times-frac`
23×	`add-cube-cbrt`
10×	`difference-of-squares`
9×	`associate-/l*`
8×	`distribute-lft-out`
7×	`associate-/r*` `add-cbrt-cube`
6×	`add-exp-log`
5×	`distribute-lft-out--` `add-log-exp`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `associate-/r/` `flip-+` `div-inv` `associate-/l/`
1×	`+-commutative` `associate-+l-` `flip3--` `sum-log` `flip--`

Counts

3 → 91

Calls

3 calls:

3.0ms	(/ x (exp wj))
32.0ms	(/ (- (/ x (exp wj)) wj) (+ wj 1))
80.0ms	(+ (/ (- (/ x (exp wj)) wj) (+ wj 1)) wj)

series124.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ x (exp wj))
45.0ms	(/ (- (/ x (exp wj)) wj) (+ wj 1))
54.0ms	(+ (/ (- (/ x (exp wj)) wj) (+ wj 1)) wj)

simplify1.5s

Counts

100 → 100

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	169	1488
1	404	1420
2	925	1357
3	2470	1345
done	5001	1344

prune217.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

5.0ms	(+ (* wj (- wj (* x 2))) x)
9.0ms	(* wj (- wj (* x 2)))

series68.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (* wj (- wj (* x 2))) x)
46.0ms	(* wj (- wj (* x 2)))

simplify855.0ms

Counts

45 → 45

Iterations

Useful iterations: 3 (228.0ms)

Iter	Nodes	Cost
0	71	519
1	188	487
2	502	445
3	1801	439
done	5001	439

prune90.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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:

16.0ms	(* (cbrt (- wj (* x 2))) (cbrt (- wj (* x 2))))
1.0ms	(cbrt (- wj (* x 2)))
1.0ms	(cbrt (- wj (* x 2)))
2.0ms	(cbrt (- wj (* x 2)))

series598.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (cbrt (- wj (* x 2))) (cbrt (- wj (* x 2))))
155.0ms	(cbrt (- wj (* x 2)))
155.0ms	(cbrt (- wj (* x 2)))
151.0ms	(cbrt (- wj (* x 2)))

simplify2.5s

Counts

99 → 99

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	129	1635
1	274	1504
2	690	1418
3	1787	1281
4	4837	1225
done	5000	1225

prune288.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- wj (* x 2)))
0.6b	(cbrt (cbrt (- wj (* x 2))))
0.6b	(cbrt (* (cbrt (- wj (* x 2))) (cbrt (- wj (* x 2)))))
0.9b	(pow (cbrt (cbrt (- wj (* x 2)))) 4)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
22×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
8×	`flip3--` `flip--`
5×	`pow1` `add-exp-log`
4×	`frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `associate-r/` `associate-l/`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

2.0ms	(cbrt (- wj (* x 2)))
2.0ms	(cbrt (cbrt (- wj (* x 2))))
6.0ms	(cbrt (* (cbrt (- wj (* x 2))) (cbrt (- wj (* x 2)))))
5.0ms	(pow (cbrt (cbrt (- wj (* x 2)))) 4)

series683.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (- wj (* x 2)))
160.0ms	(cbrt (cbrt (- wj (* x 2))))
143.0ms	(cbrt (* (cbrt (- wj (* x 2))) (cbrt (- wj (* x 2)))))
220.0ms	(pow (cbrt (cbrt (- wj (* x 2)))) 4)

simplify916.0ms

Counts

82 → 82

Iterations

Useful iterations: 3 (406.0ms)

Iter	Nodes	Cost
0	216	1463
1	458	1357
2	1027	1301
3	2534	1234
done	5000	1234

prune314.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.4b

regimes93.0ms

Accuracy

52.3% (0.9b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 2.1b

bsearch35.0ms

Steps

Iters	Range		Point
8	2.7764519059011607e-09	3.921530203054118e-05	1.2935003018621064e-05

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	39
1	30	39
done	30	39

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.4s	7617×	body	10240	exit
180.0ms	6282×	body	80	valid
73.0ms	485×	body	640	valid
67.0ms	750×	body	320	valid
33.0ms	550×	body	160	valid