Details

sample98.0ms

Algorithm

intervals

Results

40.0ms	58×	body	1280	valid
20.0ms	43×	body	640	valid
14.0ms	131×	body	80	valid
5.0ms	14×	body	320	valid
2.0ms	10×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2002
8	2002
7	794
6	244
5	100
4	50
3	29
2	22
1	18
0	9

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))
2.6b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

20.0ms	(/ 2 (+ 1 (exp (* -2 x))))
14.0ms	(+ 1 (exp (* -2 x)))
75.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series133.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ 2 (+ 1 (exp (* -2 x))))
22.0ms	(+ 1 (exp (* -2 x)))
75.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify1.4s

Counts

76 → 76

Iterations

Iter	Nodes
done	2002
4	2002
3	1810
2	690
1	282
0	120

prune682.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))
2.6b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

21.0ms	(/ 2 (+ 1 (exp (* -2 x))))
11.0ms	(+ 1 (exp (* -2 x)))
70.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series138.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ 2 (+ 1 (exp (* -2 x))))
11.0ms	(+ 1 (exp (* -2 x)))
102.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify1.5s

Counts

76 → 76

Iterations

Iter	Nodes
done	2002
4	2002
3	1810
2	690
1	282
0	120

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow x 5) 2/15)
0.1b	(* (* x x) x)
0.3b	(* -1/3 (* (* x x) x))
18.9b	(+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* (* x x) x)))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
23×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-l`
10×	`cbrt-unprod`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
7×	`associate-r`
6×	`pow-plus` `pow-prod-up`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`sum-log` `*-commutative`
2×	`pow2` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `associate-+l+` `flip3-+` `pow3` `pow-exp` `flip-+`

Counts

4 → 91

Calls

4 calls:

16.0ms	(* (pow x 5) 2/15)
29.0ms	(* (* x x) x)
44.0ms	(* -1/3 (* (* x x) x))
67.0ms	(+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* (* x x) x)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (pow x 5) 2/15)
54.0ms	(* (* x x) x)
51.0ms	(* -1/3 (* (* x x) x))
79.0ms	(+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* (* x x) x)))

simplify1.4s

Counts

103 → 103

Iterations

Iter	Nodes
done	2024
3	2024
2	1219
1	348
0	131

prune959.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

3.3b	(sqrt (+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* (* x x) x))))
3.3b	(sqrt (+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* (* x x) x))))
18.9b	(+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* (* x x) x)))
18.9b	(+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* (* x x) x)))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
8×	`add-sqr-sqrt`
6×	`pow1` `sum-log` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16`
2×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

4 → 60

Calls

4 calls:

39.0ms	(sqrt (+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* (* x x) x))))
47.0ms	(sqrt (+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* (* x x) x))))
40.0ms	(+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* (* x x) x)))
46.0ms	(+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* (* x x) x)))

series294.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sqrt (+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* (* x x) x))))
67.0ms	(sqrt (+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* (* x x) x))))
70.0ms	(+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* (* x x) x)))
89.0ms	(+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* (* x x) x)))

simplify1.1s

Counts

72 → 72

Iterations

Iter	Nodes
done	2002
3	2002
2	824
1	200
0	77

prune817.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes320.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.1b

bsearch2.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	37
1	37
0	25

end0.0ms

sample2.3s

Algorithm

intervals

Results

968.0ms	1702×	body	1280	valid
523.0ms	1218×	body	640	valid
392.0ms	4125×	body	80	valid
160.0ms	630×	body	320	valid
52.0ms	325×	body	160	valid