Details

sample64.0ms

Algorithm

intervals

Results

22.0ms	79×	body	1280	valid
9.0ms	42×	body	640	valid
8.0ms	184×	body	80	valid
4.0ms	28×	body	320	valid
1.0ms	8×	body	160	valid

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	11	6
2	18	6
3	26	6
4	49	6
5	113	6
6	440	6
7	3314	6
done	5002	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
3.0b	(- (exp (* a x)) 1.0)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

Calls

2 calls:

8.0ms	(exp (* a x))
30.0ms	(- (exp (* a x)) 1.0)

series83.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(exp (* a x))
60.0ms	(- (exp (* a x)) 1.0)

simplify2.1s

Counts

30 → 30

Iterations

Useful iterations: 3 (690.0ms)

Iter	Nodes	Cost
0	53	263
1	116	248
2	388	232
3	2010	228
done	5001	228

prune216.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 8.5b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* 2 (* a x)))
0.0b	(+ (exp (* a x)) 1.0)
0.0b	(exp (* a x))
3.2b	(- (exp (* 2 (* a x))) (* 1.0 1.0))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

19.0ms	(exp (* 2 (* a x)))
21.0ms	(+ (exp (* a x)) 1.0)
8.0ms	(exp (* a x))
53.0ms	(- (exp (* 2 (* a x))) (* 1.0 1.0))

series172.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(exp (* 2 (* a x)))
30.0ms	(+ (exp (* a x)) 1.0)
23.0ms	(exp (* a x))
86.0ms	(- (exp (* 2 (* a x))) (* 1.0 1.0))

simplify4.2s

Counts

57 → 57

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	88	602
1	211	564
2	699	508
3	3867	488
done	5001	488

prune400.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 8.5b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (pow (exp 2) (* a x)) (* 1.0 1.0)) (+ (exp (* a x)) 1.0))
0.0b	(+ (exp (* a x)) 1.0)
0.0b	(exp (* a x))
3.2b	(- (pow (exp 2) (* a x)) (* 1.0 1.0))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
28×	`times-frac`
24×	`difference-of-squares`
17×	`add-cube-cbrt`
12×	`unpow-prod-down`
10×	`add-log-exp`
9×	`distribute-lft-out`
7×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube` `exp-lft-sqr` `sqr-pow`
4×	`pow1` `associate-/r*`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `exp-prod` `exp-to-pow` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv` `rem-exp-log`

Counts

4 → 94

Calls

4 calls:

126.0ms	(/ (- (pow (exp 2) (* a x)) (* 1.0 1.0)) (+ (exp (* a x)) 1.0))
24.0ms	(+ (exp (* a x)) 1.0)
8.0ms	(exp (* a x))
55.0ms	(- (pow (exp 2) (* a x)) (* 1.0 1.0))

series442.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(/ (- (pow (exp 2) (* a x)) (* 1.0 1.0)) (+ (exp (* a x)) 1.0))
31.0ms	(+ (exp (* a x)) 1.0)
23.0ms	(exp (* a x))
192.0ms	(- (pow (exp 2) (* a x)) (* 1.0 1.0))

simplify1.3s

Counts

106 → 106

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	171	2176
1	445	2090
2	1613	1980
done	5001	1924

prune765.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 8.4b

localize70.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* (* a x) 6))
0.0b	(exp (* a x))
0.2b	(* (* a x) 6)
3.2b	(- (exp (* (* a x) 6)) (pow 1.0 6))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-log-exp`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`*-un-lft-identity`
5×	`add-cube-cbrt`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `difference-of-squares`
2×	`exp-prod` `exp-to-pow` `rem-exp-log`
1×	`sub-neg` `unpow-prod-down` `flip3--` `diff-log` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `sqr-pow`

Counts

4 → 54

Calls

4 calls:

15.0ms	(exp (* (* a x) 6))
7.0ms	(exp (* a x))
31.0ms	(* (* a x) 6)
43.0ms	(- (exp (* (* a x) 6)) (pow 1.0 6))

series180.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(exp (* (* a x) 6))
25.0ms	(exp (* a x))
41.0ms	(* (* a x) 6)
83.0ms	(- (exp (* (* a x) 6)) (pow 1.0 6))

simplify1.6s

Counts

66 → 66

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	110	667
1	261	616
2	1406	563
done	5000	553

prune602.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 8.4b

regimes840.0ms

Accuracy

94% (1.3b remaining)

Error of 9.7b against oracle of 8.4b and baseline of 29.8b

bsearch2.0ms

simplify14.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	77
1	58	77
done	58	77

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	2670×	body	1280	valid
778.0ms	1373×	body	640	valid
283.0ms	5466×	body	80	valid
107.0ms	770×	body	320	valid
36.0ms	386×	body	160	valid