Details

sample77.0ms

Algorithm

intervals

Results

29.0ms	50×	body	1280	valid
18.0ms	45×	body	640	valid
12.0ms	137×	body	80	valid
3.0ms	12×	body	320	valid
2.0ms	12×	body	160	valid

simplify1.6s

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.7b

localize25.0ms

Local error

Found 2 expressions with local error:

3.1b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(/ 2 (+ 1 (exp (* -2 x))))

rewrite67.0ms

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:

Slowest

55.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
11.0ms	(/ 2 (+ 1 (exp (* -2 x))))

series95.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

73.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
22.0ms	(/ 2 (+ 1 (exp (* -2 x))))

simplify1.9s

Counts: 60 → 60

prune695.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

3.1b	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
0.0b	(/ 2 (+ (exp (* -2 x)) 1))

rewrite129.0ms

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:

Slowest

101.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
26.0ms	(/ 2 (+ (exp (* -2 x)) 1))

series114.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

83.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
31.0ms	(/ 2 (+ (exp (* -2 x)) 1))

simplify1.9s

Counts: 60 → 60

prune639.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

20.3b	(+ (- x (* 1/3 (* x (* x x)))) (* (pow x 5) 2/15))
0.1b	(* x (* x x))
0.1b	(* 1/3 (* x (* x x)))
0.0b	(* (pow x 5) 2/15)

rewrite140.0ms

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` `add-log-exp`
5×	`associate-r` `pow-prod-up`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`associate-+l+` `sum-log` `sqr-pow`
1×	`pow2` `pow-to-exp` `+-commutative` `sub-neg` `flip3-+` `pow-plus` `diff-log` `cube-unmult` `pow-exp` `pow-sqr` `associate-+l-` `flip-+`

Counts

4 → 89

Calls

4 calls:

Slowest

64.0ms	(* 1/3 (* x (* x x)))
29.0ms	(+ (- x (* 1/3 (* x (* x x)))) (* (pow x 5) 2/15))
27.0ms	(* x (* x x))
17.0ms	(* (pow x 5) 2/15)

series277.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

80.0ms	(* (pow x 5) 2/15)
79.0ms	(+ (- x (* 1/3 (* x (* x x)))) (* (pow x 5) 2/15))
77.0ms	(* 1/3 (* x (* x x)))
42.0ms	(* x (* x x))

simplify1.5s

Counts: 101 → 101

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes169.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.7b

bsearch184.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.6s	1765×	body	1280	valid
508.0ms	1255×	body	640	valid
473.0ms	4049×	body	80	valid
169.0ms	605×	body	320	valid
57.0ms	326×	body	160	valid