Details

sample63.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
11.0ms	256×	pre	80	true

simplify673.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	315
5	315
4	265
3	144
2	55
1	19
0	9

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize63.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ (+ (+ e d) c) b)
0.2b	(+ (+ e d) c)
0.3b	(+ (+ (+ (+ e d) c) b) a)

rewrite1.9s

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
31×	`add-log-exp`
29×	`distribute-lft-out`
19×	`sum-log`
15×	`fma-def`
6×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`expm1-log1p-u` `pow1` `+-commutative` `associate-+l+` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u`

Counts

3 → 75

Calls

3 calls:

299.0ms	(+ (+ (+ e d) c) b)
74.0ms	(+ (+ e d) c)
1.5s	(+ (+ (+ (+ e d) c) b) a)

series182.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (+ (+ e d) c) b)
26.0ms	(+ (+ e d) c)
107.0ms	(+ (+ (+ (+ e d) c) b) a)

simplify2.2s

Counts

84 → 84

Iterations

Iter	Nodes
done	5004
2	1099
1	244
0	92

prune977.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (+ (+ d e) (+ a (+ c b)))))
0.2b	(+ a (+ c b))
0.3b	(+ (+ d e) (+ a (+ c b)))
3.4b	(exp (+ (+ d e) (+ a (+ c b))))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

79×	`*-un-lft-identity`
52×	`add-log-exp`
49×	`distribute-lft-out`
33×	`sum-log`
18×	`exp-prod`
10×	`log-pow`
9×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`fma-def` `rem-exp-log`
6×	`flip3-+` `flip-+`
5×	`pow1`
4×	`expm1-log1p-u` `log-prod` `add-cbrt-cube` `frac-add` `add-exp-log` `insert-posit16` `log1p-expm1-u`
2×	`+-commutative` `associate-+r+` `exp-sum`
1×	`associate-+l+` `rem-log-exp`

Counts

4 → 108

Calls

4 calls:

619.0ms	(log (exp (+ (+ d e) (+ a (+ c b)))))
43.0ms	(+ a (+ c b))
188.0ms	(+ (+ d e) (+ a (+ c b)))
637.0ms	(exp (+ (+ d e) (+ a (+ c b))))

series366.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(log (exp (+ (+ d e) (+ a (+ c b)))))
41.0ms	(+ a (+ c b))
107.0ms	(+ (+ d e) (+ a (+ c b)))
111.0ms	(exp (+ (+ d e) (+ a (+ c b))))

simplify3.7s

Counts

120 → 120

Iterations

Iter	Nodes
done	5002
2	1797
1	395
0	139

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize137.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (exp d) (exp e))
0.4b	(* (* (exp d) (exp e)) (* (exp a) (* (exp c) (exp b))))
0.4b	(* (exp a) (* (exp c) (exp b)))
0.4b	(* (exp c) (exp b))

rewrite684.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-cbrt-cube`
21×	`*-un-lft-identity`
20×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt`
12×	`exp-prod` `add-exp-log`
10×	`associate-l`
9×	`add-cube-cbrt`
8×	`associate-r` `pow-prod-up`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 98

Calls

4 calls:

50.0ms	(* (exp d) (exp e))
482.0ms	(* (* (exp d) (exp e)) (* (exp a) (* (exp c) (exp b))))
101.0ms	(* (exp a) (* (exp c) (exp b)))
44.0ms	(* (exp c) (exp b))

series432.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (exp d) (exp e))
237.0ms	(* (* (exp d) (exp e)) (* (exp a) (* (exp c) (exp b))))
84.0ms	(* (exp a) (* (exp c) (exp b)))
46.0ms	(* (exp c) (exp b))

simplify2.9s

Counts

110 → 110

Iterations

Iter	Nodes
done	5002
2	1147
1	346
0	129

prune1.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize268.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (exp a) (* (exp c) (exp b)))
0.4b	(* (exp c) (exp b))
0.4b	(* (exp c) (exp b))
0.5b	(* (sqrt (* (* (exp d) (exp e)) (* (exp a) (* (exp c) (exp b))))) (sqrt (* (* (exp d) (exp e)) (* (exp a) (* (exp c) (exp b))))))

rewrite3.8s

Algorithm

rewrite-expression-head

Rules

988×	`pow1`
717×	`pow-prod-down`
314×	`sqrt-pow1`
94×	`pow-prod-up`
52×	`pow-sqr`
50×	`*-un-lft-identity`
37×	`exp-prod`
20×	`pow1/2`
19×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
13×	`associate-l` `add-cube-cbrt`
11×	`associate-r`
7×	`add-exp-log`
6×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `swap-sqr` `*-commutative` `sqrt-prod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 266

Calls

4 calls:

128.0ms	(* (exp a) (* (exp c) (exp b)))
41.0ms	(* (exp c) (exp b))
53.0ms	(* (exp c) (exp b))
3.5s	(* (sqrt (* (* (exp d) (exp e)) (* (exp a) (* (exp c) (exp b))))) (sqrt (* (* (exp d) (exp e)) (* (exp a) (* (exp c) (exp b))))))

series496.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (exp a) (* (exp c) (exp b)))
63.0ms	(* (exp c) (exp b))
65.0ms	(* (exp c) (exp b))
271.0ms	(* (sqrt (* (* (exp d) (exp e)) (* (exp a) (* (exp c) (exp b))))) (sqrt (* (* (exp d) (exp e)) (* (exp a) (* (exp c) (exp b))))))

simplify10.1s

Counts

278 → 278

Iterations

Iter	Nodes
done	5000
3	4574
2	872
1	316
0	129

prune2.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes912.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample1.2s

Algorithm

intervals

Results

444.0ms	8000×	body	80	valid
346.0ms	8000×	pre	80	true