Details

sample46.0ms

Algorithm

intervals

Results

16.0ms	86×	body	1280	valid
7.0ms	64×	body	640	valid
4.0ms	170×	body	80	valid
2.0ms	23×	body	320	valid
0.0ms	5×	body	160	valid

simplify7.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5028
8	3392
7	883
6	221
5	93
4	44
3	23
2	16
1	11
0	6

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
2.0b	(- (exp (* a x)) 1.0)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
1×	`exp-prod` `sub-neg` `flip3--` `exp-to-pow` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares` `rem-exp-log`

Counts

2 → 26

Calls

2 calls:

7.0ms	(exp (* a x))
17.0ms	(- (exp (* a x)) 1.0)

series85.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(exp (* a x))
63.0ms	(- (exp (* a x)) 1.0)

simplify6.7s

Counts

32 → 32

Iterations

Iter	Nodes
done	5016
4	4063
3	1104
2	311
1	118
0	55

prune382.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* a x) (* (* a x) (* a x))) 1/6)
0.2b	(* (* x a) (* (* x a) 1/2))
0.2b	(* (* a x) (* a x))
10.1b	(+ (* (* (* a x) (* (* a x) (* a x))) 1/6) (* (* x a) (* (* x a) 1/2)))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

117×	`pow1`
90×	`add-cbrt-cube` `add-exp-log`
74×	`pow-prod-down`
65×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`pow-sqr` `pow-prod-up` `insert-posit16`
3×	`associate-l` `*-commutative`
2×	`pow-plus`
1×	`pow2` `+-commutative` `sum-log` `flip3-+` `swap-sqr` `flip-+`

Counts

4 → 122

Calls

4 calls:

549.0ms	(* (* (* a x) (* (* a x) (* a x))) 1/6)
111.0ms	(* (* x a) (* (* x a) 1/2))
33.0ms	(* (* a x) (* a x))
496.0ms	(+ (* (* (* a x) (* (* a x) (* a x))) 1/6) (* (* x a) (* (* x a) 1/2)))

series535.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (* (* a x) (* (* a x) (* a x))) 1/6)
74.0ms	(* (* x a) (* (* x a) 1/2))
67.0ms	(* (* a x) (* a x))
262.0ms	(+ (* (* (* a x) (* (* a x) (* a x))) 1/6) (* (* x a) (* (* x a) 1/2)))

simplify7.4s

Counts

134 → 134

Iterations

Iter	Nodes
done	5004
2	2691
1	522
0	171

prune801.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize112.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.2b	(* 3 (* x a))
2.0b	(- (exp (* 3 (* x a))) (* (* 1.0 1.0) 1.0))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`exp-prod` `exp-to-pow` `rem-exp-log`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `*-commutative` `flip--`

Counts

4 → 54

Calls

4 calls:

11.0ms	(exp (* a x))
6.0ms	(exp (* a x))
24.0ms	(* 3 (* x a))
56.0ms	(- (exp (* 3 (* x a))) (* (* 1.0 1.0) 1.0))

series187.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(exp (* a x))
35.0ms	(exp (* a x))
44.0ms	(* 3 (* x a))
86.0ms	(- (exp (* 3 (* x a))) (* (* 1.0 1.0) 1.0))

simplify6.7s

Counts

66 → 66

Iterations

Iter	Nodes
done	5002
3	3806
2	775
1	230
0	93

prune732.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize230.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.2b	(* 3 (* x a))
2.0b	(- (exp (* 3 (* x a))) (* (* 1.0 1.0) 1.0))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`exp-prod` `exp-to-pow` `rem-exp-log`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `*-commutative` `flip--`

Counts

4 → 54

Calls

4 calls:

11.0ms	(exp (* a x))
11.0ms	(exp (* a x))
41.0ms	(* 3 (* x a))
49.0ms	(- (exp (* 3 (* x a))) (* (* 1.0 1.0) 1.0))

series210.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(exp (* a x))
37.0ms	(exp (* a x))
45.0ms	(* 3 (* x a))
91.0ms	(- (exp (* 3 (* x a))) (* (* 1.0 1.0) 1.0))

simplify7.2s

Counts

66 → 66

Iterations

Iter	Nodes
done	5002
3	3806
2	775
1	230
0	93

prune742.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes296.0ms

Accuracy

30.4% (14.6b remaining)

Error of 14.7b against oracle of 0.1b and baseline of 21.0b

bsearch190.0ms

Steps

Iters	Range		Point
10	1.0018260260629123e+208	5.5712605373046926e+218	4.908437356722726e+208
8	-6.551293420788778e+41	-3.035188628432768e+38	-2.5635944409606067e+41

simplify25.0ms

Iterations

Iter	Nodes
done	60
1	60
0	44

end0.0ms

sample2.1s

Algorithm

intervals

Results

860.0ms	2692×	body	1280	valid
319.0ms	5568×	body	80	valid
318.0ms	1363×	body	640	valid
95.0ms	777×	body	320	valid
31.0ms	376×	body	160	valid