Details

sample119.0ms

Algorithm

intervals

Results

79.0ms	213×	body	10240	exit
11.0ms	197×	body	80	valid
4.0ms	14×	body	640	valid
4.0ms	26×	body	320	valid
3.0ms	22×	body	160	valid

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5143
6	3633
5	796
4	188
3	102
2	48
1	20
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(* wj (exp wj))
0.5b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
6.5b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

18.0ms	(* wj (exp wj))
16.0ms	(* wj (exp wj))
28.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
53.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series238.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* wj (exp wj))
47.0ms	(* wj (exp wj))
65.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
91.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify1.3s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	1210
1	383
0	150

prune530.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`diff-log` `add-cube-cbrt`
3×	`sub-neg` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `flip--` `associate--r+`
1×	`associate-l` `*-commutative` `distribute-lft-out--` `associate--r-` `difference-of-squares`

Counts

3 → 48

Calls

3 calls:

28.0ms	(- (* (* wj x) 2) (* wj wj))
26.0ms	(* (* wj x) 2)
55.0ms	(- x (- (* (* wj x) 2) (* wj wj)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(- (* (* wj x) 2) (* wj wj))
34.0ms	(* (* wj x) 2)
59.0ms	(- x (- (* (* wj x) 2) (* wj wj)))

simplify3.7s

Counts

57 → 57

Iterations

Iter	Nodes
done	5016
3	3860
2	806
1	239
0	91

prune295.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(/ x (+ (exp wj) (* wj (exp wj))))
0.5b	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
5.1b	(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
18×	`add-cube-cbrt`
13×	`add-cbrt-cube`
11×	`add-exp-log`
10×	`associate-/r*`
6×	`pow1` `distribute-rgt-out` `distribute-rgt1-in` `add-log-exp`
4×	`associate-/r/` `associate-/l*`
3×	`cbrt-undiv` `div-exp` `associate-r` `associate-l`
2×	`clear-num` `frac-2neg` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

17.0ms	(* wj (exp wj))
25.0ms	(/ x (+ (exp wj) (* wj (exp wj))))
33.0ms	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
34.0ms	(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

series264.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* wj (exp wj))
81.0ms	(/ x (+ (exp wj) (* wj (exp wj))))
67.0ms	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
84.0ms	(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

simplify1.8s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1416
1	437
0	183

prune643.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(+ (* wj wj) (* (* wj wj) (- (* wj wj) wj)))
0.0b	(/ x (+ (exp wj) (* wj (exp wj))))
0.1b	(* (* wj wj) (- (* wj wj) wj))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

10.0ms	(* wj (exp wj))
8.0ms	(+ (* wj wj) (* (* wj wj) (- (* wj wj) wj)))
19.0ms	(/ x (+ (exp wj) (* wj (exp wj))))
39.0ms	(* (* wj wj) (- (* wj wj) wj))

series233.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* wj (exp wj))
28.0ms	(+ (* wj wj) (* (* wj wj) (- (* wj wj) wj)))
70.0ms	(/ x (+ (exp wj) (* wj (exp wj))))
100.0ms	(* (* wj wj) (- (* wj wj) wj))

simplify1.6s

Counts

109 → 109

Iterations

Iter	Nodes
done	5003
2	1698
1	497
0	182

prune642.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes133.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample5.9s

Algorithm

intervals

Results

4.7s	7705×	body	10240	exit
488.0ms	6348×	body	80	valid
137.0ms	757×	body	320	valid
113.0ms	427×	body	640	valid
64.0ms	547×	body	160	valid