Details

sample79.0ms

Algorithm

intervals

Results

25.0ms	51×	body	1280	valid
18.0ms	47×	body	640	valid
15.0ms	122×	body	80	valid
7.0ms	26×	body	320	valid
1.0ms	10×	body	160	valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	3027
7	794
6	244
5	100
4	50
3	29
2	22
1	18
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.9b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2 (+ 1 (exp (* -2 x))))
4.4b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
15×	`times-frac`
11×	`add-cube-cbrt`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `distribute-lft-out` `add-log-exp` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `difference-of-sqr-1` `associate-/r/` `insert-posit16`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `div-exp` `flip-+` `div-inv` `flip--` `distribute-lft-out--`

Counts

2 → 54

Calls

2 calls:

12.0ms	(/ 2 (+ 1 (exp (* -2 x))))
47.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series92.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ 2 (+ 1 (exp (* -2 x))))
70.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify1.5s

Counts

60 → 60

Iterations

Iter	Nodes
done	5018
3	1817
2	579
1	243
0	107

prune329.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow x 5) 2/15)
0.1b	(* x (* x x))
0.1b	(* -1/3 (* x (* x x)))
17.2b	(+ (* -1/3 (* x (* x x))) (* (pow x 5) 2/15))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1`
23×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
13×	`associate-l`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt`
6×	`add-log-exp`
5×	`associate-r` `pow-prod-up`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`sqr-pow`
1×	`pow2` `pow-to-exp` `+-commutative` `sum-log` `flip3-+` `pow-plus` `cube-unmult` `pow-exp` `pow-sqr` `flip-+`

Counts

4 → 85

Calls

4 calls:

17.0ms	(* (pow x 5) 2/15)
30.0ms	(* x (* x x))
45.0ms	(* -1/3 (* x (* x x)))
62.0ms	(+ (* -1/3 (* x (* x x))) (* (pow x 5) 2/15))

series505.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (pow x 5) 2/15)
64.0ms	(* x (* x x))
73.0ms	(* -1/3 (* x (* x x)))
283.0ms	(+ (* -1/3 (* x (* x x))) (* (pow x 5) 2/15))

simplify1.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1144
1	321
0	125

prune445.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* (* x x) 1/3))
0.3b	(* (* x x) 1/3)
0.7b	(log (exp (- (* 2/15 (pow x 5)) (* x (* (* x x) 1/3)))))
17.2b	(- (* 2/15 (pow x 5)) (* x (* (* x x) 1/3)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

45.0ms	(* x (* (* x x) 1/3))
24.0ms	(* (* x x) 1/3)
12.0ms	(log (exp (- (* 2/15 (pow x 5)) (* x (* (* x x) 1/3)))))
15.0ms	(- (* 2/15 (pow x 5)) (* x (* (* x x) 1/3)))

series876.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* x (* (* x x) 1/3))
39.0ms	(* (* x x) 1/3)
191.0ms	(log (exp (- (* 2/15 (pow x 5)) (* x (* (* x x) 1/3)))))
599.0ms	(- (* 2/15 (pow x 5)) (* x (* (* x x) 1/3)))

simplify3.1s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
3	3737
2	866
1	278
0	113

prune440.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2 (+ 1 (exp (* x -2))))
4.4b	(log (exp (- (/ 2 (+ 1 (exp (* x -2)))) 1)))
4.4b	(- (/ 2 (+ 1 (exp (* x -2)))) 1)

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
18×	`times-frac`
14×	`add-cube-cbrt`
11×	`log-pow`
10×	`exp-prod`
8×	`difference-of-squares`
5×	`log-prod` `add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`pow1` `associate-/r*` `difference-of-sqr-1` `distribute-lft-out`
3×	`insert-posit16` `associate-/l*`
2×	`sub-neg` `exp-sum` `associate-/r/` `distribute-lft-out--`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `flip3--` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `flip-+` `div-inv` `flip--`

Counts

3 → 80

Calls

3 calls:

16.0ms	(/ 2 (+ 1 (exp (* x -2))))
157.0ms	(log (exp (- (/ 2 (+ 1 (exp (* x -2)))) 1)))
75.0ms	(- (/ 2 (+ 1 (exp (* x -2)))) 1)

series183.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ 2 (+ 1 (exp (* x -2))))
80.0ms	(log (exp (- (/ 2 (+ 1 (exp (* x -2)))) 1)))
70.0ms	(- (/ 2 (+ 1 (exp (* x -2)))) 1)

simplify2.0s

Counts

89 → 89

Iterations

Iter	Nodes
done	5819
3	2369
2	748
1	300
0	141

prune333.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes125.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.8b

bsearch141.0ms

Steps

Iters	Range		Point
10	0.006928851504795399	801012902.7811656	0.006998885945432241
7	-0.3435485504518341	-0.0018335887134067947	-0.00838956395365049

simplify11.0ms

Iterations

Iter	Nodes
done	39
1	39
0	27

end0.0ms

sample2.3s

Algorithm

intervals

Results

835.0ms	1674×	body	1280	valid
484.0ms	634×	body	320	valid
449.0ms	1231×	body	640	valid
331.0ms	4175×	body	80	valid
40.0ms	286×	body	160	valid