Details

sample132.0ms

Algorithm

intervals

Results

91.0ms	268×	body	10240	exit
9.0ms	188×	body	80	valid
4.0ms	31×	body	320	valid
4.0ms	16×	body	640	valid
2.0ms	22×	body	160	valid

simplify742.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	419
3	115
2	52
1	21
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.4b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.8b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
6.7b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite164.0ms

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` `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 → 164

Calls

4 calls:

9.0ms	(* wj (exp wj))
14.0ms	(+ (exp wj) (* wj (exp wj)))
57.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
77.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series256.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* wj (exp wj))
61.0ms	(+ (exp wj) (* wj (exp wj)))
77.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
72.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify2.8s

Counts

176 → 176

Iterations

Iter	Nodes
done	5000
2	3751
1	852
0	317

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

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

prune29.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp wj) (* wj (exp wj)))
0.0b	(/ x (+ (exp wj) (* wj (exp wj))))
0.7b	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
6.7b	(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

15.0ms	(+ (exp wj) (* wj (exp wj)))
19.0ms	(/ x (+ (exp wj) (* wj (exp wj))))
20.0ms	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
37.0ms	(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

series221.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ (exp wj) (* wj (exp wj)))
68.0ms	(/ x (+ (exp wj) (* wj (exp wj))))
38.0ms	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
53.0ms	(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

simplify2.3s

Counts

150 → 150

Iterations

Iter	Nodes
done	5000
2	3619
1	672
0	265

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

42×	`pow1`
22×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
15×	`times-frac`
12×	`pow-plus` `pow-prod-up`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`associate-/r*` `distribute-rgt-out` `distribute-rgt1-in`
4×	`pow2` `expm1-log1p-u` `pow-sqr` `log1p-expm1-u`
3×	`fma-def` `associate-/l*`
2×	`flip3-+` `associate-l` `pow3` `associate-/r/` `*-commutative` `flip-+` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 117

Calls

4 calls:

11.0ms	(+ (exp wj) (* wj (exp wj)))
22.0ms	(/ x (+ (exp wj) (* wj (exp wj))))
36.0ms	(* (* wj wj) wj)
29.0ms	(* (* wj wj) wj)

series212.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (exp wj) (* wj (exp wj)))
65.0ms	(/ x (+ (exp wj) (* wj (exp wj))))
54.0ms	(* (* wj wj) wj)
43.0ms	(* (* wj wj) wj)

simplify1.9s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	1730
1	335
0	142

prune646.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes156.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 1.0b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample5.8s

Algorithm

intervals

Results

4.3s	7724×	body	10240	exit
759.0ms	6272×	body	80	valid
150.0ms	471×	body	640	valid
133.0ms	792×	body	320	valid
95.0ms	546×	body	160	valid