Details

sample60.0ms

Algorithm

intervals

Results

22.0ms	256×	pre	80	true
17.0ms	256×	body	80	valid

simplify365.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	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

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite586.0ms

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:

82.0ms	(+ (+ (+ e d) c) b)
19.0ms	(+ (+ e d) c)
483.0ms	(+ (+ (+ (+ e d) c) b) a)

series108.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (+ (+ e d) c) b)
18.0ms	(+ (+ e d) c)
57.0ms	(+ (+ (+ (+ e d) c) b) a)

simplify2.0s

Counts

84 → 84

Iterations

Iter	Nodes
3	6942
2	1094
1	244
0	92

prune923.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ d (+ c (+ (+ b e) a)))
0.2b	(+ c (+ (+ b e) a))
0.2b	(+ (+ b e) a)
3.3b	(exp (+ d (+ c (+ (+ b e) a))))

rewrite884.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
47×	`add-log-exp`
30×	`distribute-lft-out`
29×	`sum-log`
10×	`fma-def`
8×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`exp-prod`
5×	`rem-exp-log`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`+-commutative` `flip3-+` `flip-+`
2×	`associate-+r+`
1×	`associate-+l+` `exp-sum`

Counts

4 → 93

Calls

4 calls:

129.0ms	(+ d (+ c (+ (+ b e) a)))
58.0ms	(+ c (+ (+ b e) a))
21.0ms	(+ (+ b e) a)
674.0ms	(exp (+ d (+ c (+ (+ b e) a))))

series176.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(+ d (+ c (+ (+ b e) a)))
36.0ms	(+ c (+ (+ b e) a))
16.0ms	(+ (+ b e) a)
50.0ms	(exp (+ d (+ c (+ (+ b e) a))))

simplify4.0s

Counts

105 → 105

Iterations

Iter	Nodes
3	10053
2	1493
1	303
0	114

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (exp b) (exp e))
0.4b	(* (exp d) (* (exp c) (* (* (exp b) (exp e)) (exp a))))
0.4b	(* (exp c) (* (* (exp b) (exp e)) (exp a)))
0.4b	(* (* (exp b) (exp e)) (exp a))

rewrite707.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

23.0ms	(* (exp b) (exp e))
489.0ms	(* (exp d) (* (exp c) (* (* (exp b) (exp e)) (exp a))))
123.0ms	(* (exp c) (* (* (exp b) (exp e)) (exp a)))
69.0ms	(* (* (exp b) (exp e)) (exp a))

series261.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (exp b) (exp e))
123.0ms	(* (exp d) (* (exp c) (* (* (exp b) (exp e)) (exp a))))
64.0ms	(* (exp c) (* (* (exp b) (exp e)) (exp a)))
36.0ms	(* (* (exp b) (exp e)) (exp a))

simplify3.1s

Counts

109 → 109

Iterations

Iter	Nodes
3	7172
2	1213
1	340
0	127

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

290×	`pow1`
187×	`pow-prod-down`
110×	`sqrt-pow1`
52×	`pow-prod-up`
45×	`*-un-lft-identity`
34×	`exp-prod`
25×	`add-cbrt-cube`
19×	`pow-sqr`
14×	`pow1/2`
13×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
11×	`associate-r` `add-cube-cbrt`
10×	`add-exp-log`
9×	`associate-l`
4×	`expm1-log1p-u` `swap-sqr` `*-commutative` `sqrt-prod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `unswap-sqr`

Counts

4 → 164

Calls

4 calls:

185.0ms	(* (exp c) (* (* (exp b) (exp e)) (exp a)))
65.0ms	(* (* (exp b) (exp e)) (exp a))
38.0ms	(* (* (exp b) (exp e)) (exp a))
946.0ms	(* (sqrt (* (exp c) (* (* (exp b) (exp e)) (exp a)))) (sqrt (* (exp c) (* (* (exp b) (exp e)) (exp a)))))

series247.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (exp c) (* (* (exp b) (exp e)) (exp a)))
38.0ms	(* (* (exp b) (exp e)) (exp a))
43.0ms	(* (* (exp b) (exp e)) (exp a))
80.0ms	(* (sqrt (* (exp c) (* (* (exp b) (exp e)) (exp a)))) (sqrt (* (exp c) (* (* (exp b) (exp e)) (exp a)))))

simplify2.0s

Counts

176 → 176

Iterations

Iter	Nodes
3	5371
2	985
1	318
0	122

prune2.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes258.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
2	32
1	32
0	24

end0.0ms

sample1.3s

Algorithm

intervals

Results

595.0ms	8000×	pre	80	true
447.0ms	8000×	body	80	valid