Details

sample132.0ms

Algorithm

intervals

Results

81.0ms	204×	body	10240	exit
12.0ms	205×	body	80	valid
5.0ms	26×	body	320	valid
4.0ms	15×	body	640	valid
2.0ms	12×	body	160	valid

simplify772.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	398
3	109
2	48
1	20
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.3b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
4.0b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`times-frac` `add-cube-cbrt`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
5×	`associate-/r*` `distribute-rgt-out` `distribute-rgt1-in`
3×	`associate-r` `associate-l` `associate-/l*`
2×	`flip3-+` `flip3--` `div-sub` `associate-/r/` `flip-+` `flip--` `difference-of-squares` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out--` `associate--r-` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

9.0ms	(* wj (exp wj))
12.0ms	(+ (exp wj) (* wj (exp wj)))
53.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
45.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series215.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* wj (exp wj))
56.0ms	(+ (exp wj) (* wj (exp wj)))
45.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
71.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify1.6s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1670
1	415
0	163

prune562.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
1×	`+-commutative` `sum-log` `flip3-+` `associate-r` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+ x (* wj wj))
15.0ms	(* -2 (* x wj))

series80.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ x (* wj wj))
34.0ms	(* -2 (* x wj))

simplify884.0ms

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
2	801
1	177
0	60

prune159.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(/ (- (* wj (exp wj)) x) (+ wj 1))
0.3b	(/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj))
4.0b	(- wj (/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj)))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 162

Calls

4 calls:

17.0ms	(* wj (exp wj))
48.0ms	(/ (- (* wj (exp wj)) x) (+ wj 1))
41.0ms	(/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj))
94.0ms	(- wj (/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* wj (exp wj))
56.0ms	(/ (- (* wj (exp wj)) x) (+ wj 1))
51.0ms	(/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj))
75.0ms	(- wj (/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj)))

simplify2.1s

Counts

174 → 174

Iterations

Iter	Nodes
done	5000
2	3319
1	714
0	263

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp wj) (* (exp wj) wj))
0.3b	(/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj)))
2.6b	(exp (log (- wj (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))))))
4.0b	(- wj (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`times-frac`
8×	`add-log-exp`
6×	`log-prod` `add-cbrt-cube` `exp-sum` `add-exp-log`
5×	`pow1`
4×	`exp-prod` `difference-of-squares`
3×	`associate-/r` `flip3--` `flip--` `associate-/l`
2×	`log-div` `flip3-+` `exp-diff` `div-sub` `associate-/r/` `flip-+` `distribute-lft-out--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-exp` `log-pow` `div-inv` `associate--r-` `rem-exp-log`

Counts

4 → 79

Calls

4 calls:

7.0ms	(+ (exp wj) (* (exp wj) wj))
40.0ms	(/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj)))
40.0ms	(exp (log (- wj (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))))))
50.0ms	(- wj (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))))

series298.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (exp wj) (* (exp wj) wj))
70.0ms	(/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj)))
67.0ms	(exp (log (- wj (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))))))
101.0ms	(- wj (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))))

simplify1.5s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1372
1	373
0	161

prune595.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes122.0ms

Accuracy

0% (1.8b remaining)

Error of 2.3b against oracle of 0.5b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample6.4s

Algorithm

intervals

Results

4.3s	7837×	body	10240	exit
974.0ms	6310×	body	80	valid
253.0ms	754×	body	320	valid
135.0ms	476×	body	640	valid
60.0ms	521×	body	160	valid