Details

sample41.0ms

Algorithm

intervals

Results

17.0ms	90×	body	1280	valid
4.0ms	39×	body	640	valid
4.0ms	163×	body	80	valid
2.0ms	24×	body	320	valid
1.0ms	12×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	3255
6	440
5	113
4	49
3	26
2	18
1	11
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
3.6b	(- (exp (* a x)) 1.0)

rewrite15.0ms

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`
1×	`exp-prod` `sub-neg` `flip3--` `exp-to-pow` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares` `rem-exp-log`

Counts

2 → 24

Calls

2 calls:

3.0ms	(exp (* a x))
11.0ms	(- (exp (* a x)) 1.0)

series70.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(exp (* a x))
55.0ms	(- (exp (* a x)) 1.0)

simplify1.4s

Counts

30 → 30

Iterations

Iter	Nodes
done	5000
3	2000
2	389
1	116
0	53

prune158.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b	(* 1/6 a)
0.8b	(* (* 1/6 a) (* (* x a) (* x a)))
1.5b	(* x (+ (* (* 1/6 a) (* (* x a) (* x a))) a))
11.6b	(+ (* (* (* x a) (* x a)) 1/2) (* x (+ (* (* 1/6 a) (* (* x a) (* x a))) a)))

rewrite508.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1` `add-cbrt-cube` `add-exp-log`
33×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r` `associate-l`
6×	`add-log-exp`
3×	`*-commutative`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `unswap-sqr`
1×	`+-commutative` `sum-log`

Counts

4 → 93

Calls

4 calls:

5.0ms	(* 1/6 a)
91.0ms	(* (* 1/6 a) (* (* x a) (* x a)))
328.0ms	(* x (+ (* (* 1/6 a) (* (* x a) (* x a))) a))
80.0ms	(+ (* (* (* x a) (* x a)) 1/2) (* x (+ (* (* 1/6 a) (* (* x a) (* x a))) a)))

series421.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* 1/6 a)
79.0ms	(* (* 1/6 a) (* (* x a) (* x a)))
167.0ms	(* x (+ (* (* 1/6 a) (* (* x a) (* x a))) a))
141.0ms	(+ (* (* (* x a) (* x a)) 1/2) (* x (+ (* (* 1/6 a) (* (* x a) (* x a))) a)))

simplify2.3s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	3138
1	502
0	152

prune474.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* x a))
0.0b	(exp (* x a))
0.2b	(* 3 (* x a))
3.8b	(- (exp (* 3 (* x a))) (* (* 1.0 1.0) 1.0))

rewrite62.0ms

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`
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 → 50

Calls

4 calls:

6.0ms	(exp (* x a))
6.0ms	(exp (* x a))
31.0ms	(* 3 (* x a))
15.0ms	(- (exp (* 3 (* x a))) (* (* 1.0 1.0) 1.0))

series141.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(exp (* x a))
14.0ms	(exp (* x a))
37.0ms	(* 3 (* x a))
77.0ms	(- (exp (* 3 (* x a))) (* (* 1.0 1.0) 1.0))

simplify901.0ms

Counts

62 → 62

Iterations

Iter	Nodes
done	5001
2	1099
1	232
0	91

prune345.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize130.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3 (* x a))
0.2b	(* 3 (* x a))
0.3b	(* (* a x) (+ 6 3))
4.2b	(- (exp (* (* a x) (+ 6 3))) (* (* (* (* 1.0 1.0) (* 1.0 1.0)) 1.0) (* (* 1.0 1.0) (* 1.0 1.0))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `associate-l` `add-cube-cbrt`
6×	`associate-r` `add-log-exp`
3×	`*-commutative`
2×	`associate-*r/`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--` `distribute-lft-out`

Counts

4 → 71

Calls

4 calls:

25.0ms	(* 3 (* x a))
25.0ms	(* 3 (* x a))
23.0ms	(* (* a x) (+ 6 3))
13.0ms	(- (exp (* (* a x) (+ 6 3))) (* (* (* (* 1.0 1.0) (* 1.0 1.0)) 1.0) (* (* 1.0 1.0) (* 1.0 1.0))))

series175.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* 3 (* x a))
22.0ms	(* 3 (* x a))
35.0ms	(* (* a x) (+ 6 3))
93.0ms	(- (exp (* (* a x) (+ 6 3))) (* (* (* (* 1.0 1.0) (* 1.0 1.0)) 1.0) (* (* 1.0 1.0) (* 1.0 1.0))))

simplify1.8s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	2300
1	373
0	121

prune717.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes324.0ms

Accuracy

98.5% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 21.5b

bsearch2.0ms

simplify25.0ms

Iterations

Iter	Nodes
done	76
2	76
1	74
0	51

end0.0ms

sample2.2s

Algorithm

intervals

Results

788.0ms	2701×	body	1280	valid
561.0ms	5509×	body	80	valid
244.0ms	1304×	body	640	valid
126.0ms	804×	body	320	valid
60.0ms	387×	body	160	valid