Details

sample67.0ms

Algorithm

intervals

Results

25.0ms	58×	body	1280	valid
13.0ms	40×	body	640	valid
9.0ms	132×	body	80	valid
5.0ms	22×	body	320	valid
0.0ms	4×	body	160	valid

simplify1.2s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize14.0ms

Local error

Found 3 expressions with local error:

1.5b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))

rewrite124.0ms

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:

Slowest

87.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
23.0ms	(/ 2 (+ 1 (exp (* -2 x))))
12.0ms	(+ 1 (exp (* -2 x)))

series123.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

80.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
32.0ms	(/ 2 (+ 1 (exp (* -2 x))))
11.0ms	(+ 1 (exp (* -2 x)))

simplify2.1s

Counts: 76 → 76

prune648.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

1.5b	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
0.0b	(/ 2 (+ (exp (* -2 x)) 1))
0.0b	(+ (exp (* -2 x)) 1)

rewrite121.0ms

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:

Slowest

90.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
22.0ms	(/ 2 (+ (exp (* -2 x)) 1))
8.0ms	(+ (exp (* -2 x)) 1)

series97.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

63.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
23.0ms	(/ 2 (+ (exp (* -2 x)) 1))
11.0ms	(+ (exp (* -2 x)) 1)

simplify2.0s

Counts: 76 → 76

prune562.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

21.3b	(+ (* x (* -1/3 (* x x))) (+ (* (pow x 5) 2/15) x))
0.2b	(* -1/3 (* x x))
0.1b	(* x (* -1/3 (* x x)))
0.0b	(* (pow x 5) 2/15)

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

Slowest

48.0ms	(* x (* -1/3 (* x x)))
39.0ms	(+ (* x (* -1/3 (* x x))) (+ (* (pow x 5) 2/15) x))
15.0ms	(* -1/3 (* x x))
8.0ms	(* (pow x 5) 2/15)

series198.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

69.0ms	(+ (* x (* -1/3 (* x x))) (+ (* (pow x 5) 2/15) x))
57.0ms	(* (pow x 5) 2/15)
45.0ms	(* x (* -1/3 (* x x)))
27.0ms	(* -1/3 (* x x))

simplify1.9s

Counts: 94 → 94

prune794.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

21.3b	(+ (* (* x -1/3) (* x x)) (* 2/15 (* x (* (* x x) (* x x)))))
0.3b	(* x -1/3)
0.1b	(* (* x x) (* x x))
0.1b	(* (* x -1/3) (* x x))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

129×	`pow1`
36×	`pow-prod-up`
32×	`pow-prod-down`
30×	`add-cbrt-cube` `add-exp-log`
22×	`pow-sqr`
18×	`pow-plus`
17×	`prod-exp` `cbrt-unprod`
13×	`pow2`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
5×	`associate-r` `associate-l`
4×	`insert-posit16`
3×	`*-commutative`
2×	`unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `swap-sqr` `flip-+`

Counts

4 → 118

Calls

4 calls:

Slowest

36.0ms	(+ (* (* x -1/3) (* x x)) (* 2/15 (* x (* (* x x) (* x x)))))
33.0ms	(* (* x x) (* x x))
32.0ms	(* (* x -1/3) (* x x))
5.0ms	(* x -1/3)

series276.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

159.0ms	(+ (* (* x -1/3) (* x x)) (* 2/15 (* x (* (* x x) (* x x)))))
51.0ms	(* (* x -1/3) (* x x))
35.0ms	(* (* x x) (* x x))
31.0ms	(* x -1/3)

simplify2.2s

Counts: 130 → 130

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes123.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.0b

bsearch166.0ms

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.2s	1710×	body	1280	valid
525.0ms	1235×	body	640	valid
372.0ms	4127×	body	80	valid
173.0ms	592×	body	320	valid
55.0ms	336×	body	160	valid