Details

sample250.0ms

Algorithm

intervals

Results

194.0ms	263×	body	10240	exit
19.0ms	203×	body	80	valid
7.0ms	23×	body	160	valid
7.0ms	21×	body	320	valid
5.0ms	10×	body	640	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2022
6	2022
5	815
4	205
3	108
2	52
1	21
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize36.0ms

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))))
5.8b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
73×	`add-sqr-sqrt`
66×	`add-cube-cbrt`
63×	`prod-diff`
61×	`times-frac`
14×	`distribute-rgt-out` `distribute-rgt1-in`
8×	`add-cbrt-cube` `associate-/r/` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
5×	`associate-/r*` `flip3-+` `flip-+`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv`
3×	`fma-def` `fma-neg` `associate-r` `associate-l` `associate-/l*`
2×	`flip3--` `div-sub` `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` `distribute-lft-out--` `associate--r-` `unswap-sqr`

Counts

4 → 168

Calls

4 calls:

18.0ms	(* wj (exp wj))
16.0ms	(+ (exp wj) (* wj (exp wj)))
40.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
63.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series230.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* wj (exp wj))
51.0ms	(+ (exp wj) (* wj (exp wj)))
53.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
75.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify1.1s

Counts

180 → 180

Iterations

Iter	Nodes
done	2001
2	2001
1	847
0	321

prune1.8s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize23.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune15.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp wj) (* wj (exp wj)))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.3b	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
5.3b	(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
33×	`prod-diff`
28×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
20×	`times-frac`
10×	`add-log-exp`
9×	`add-cbrt-cube`
8×	`add-exp-log` `associate-/r/`
7×	`distribute-rgt-out` `distribute-rgt1-in`
6×	`fma-def` `flip3-+` `flip-+`
5×	`associate-/r*`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `div-inv`
3×	`fma-neg`
2×	`cbrt-undiv` `+-commutative` `sum-log` `div-exp`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `prod-exp` `cbrt-unprod` `flip--` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 121

Calls

4 calls:

19.0ms	(+ (exp wj) (* wj (exp wj)))
17.0ms	(+ (exp wj) (* wj (exp wj)))
27.0ms	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
20.0ms	(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

series205.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (exp wj) (* wj (exp wj)))
37.0ms	(+ (exp wj) (* wj (exp wj)))
48.0ms	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
75.0ms	(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

simplify1.4s

Counts

133 → 133

Iterations

Iter	Nodes
done	2001
3	2001
2	1925
1	541
0	199

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
18×	`pow1` `add-cube-cbrt`
15×	`times-frac`
11×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
5×	`associate-/r*` `distribute-rgt-out` `distribute-rgt1-in` `pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`fma-def` `fma-neg` `associate-l` `prod-diff` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`pow2` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `pow-plus` `flip3--` `diff-log` `cube-unmult` `div-exp` `associate-r` `associate--l+` `pow-sqr` `*-commutative` `fma-udef` `div-inv` `flip--` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

11.0ms	(/ x (+ (exp wj) (* wj (exp wj))))
14.0ms	(+ (exp wj) (* wj (exp wj)))
13.0ms	(- (fma (* wj wj) (* wj wj) (* wj wj)) (* wj (* wj wj)))
23.0ms	(* wj (* wj wj))

series232.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ x (+ (exp wj) (* wj (exp wj))))
52.0ms	(+ (exp wj) (* wj (exp wj)))
62.0ms	(- (fma (* wj wj) (* wj wj) (* wj wj)) (* wj (* wj wj)))
54.0ms	(* wj (* wj wj))

simplify1.3s

Counts

120 → 120

Iterations

Iter	Nodes
done	2012
3	2012
2	1380
1	405
0	184

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample8.6s

Algorithm

intervals

Results

7.1s	7821×	body	10240	exit
637.0ms	6279×	body	80	valid
242.0ms	761×	body	320	valid
186.0ms	456×	body	640	valid
139.0ms	582×	body	160	valid