Details

sample95.0ms

Algorithm

intervals

Results

40.0ms	65×	body	1280	valid
23.0ms	134×	body	80	valid
13.0ms	32×	body	640	valid
4.0ms	14×	body	320	valid
2.0ms	11×	body	160	valid

simplify1.4s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.4b

localize20.0ms

Local error

Found 3 expressions with local error:

2.7b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))

rewrite125.0ms

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

92.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
20.0ms	(/ 2 (+ 1 (exp (* -2 x))))
11.0ms	(+ 1 (exp (* -2 x)))

series120.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

87.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
22.0ms	(/ 2 (+ 1 (exp (* -2 x))))
11.0ms	(+ 1 (exp (* -2 x)))

simplify1.5s

Counts: 76 → 76

prune783.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

2.7b	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
0.0b	(/ 2 (+ (exp (* -2 x)) 1))
0.0b	(+ (exp (* -2 x)) 1)

rewrite94.0ms

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

73.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
12.0ms	(/ 2 (+ (exp (* -2 x)) 1))
8.0ms	(+ (exp (* -2 x)) 1)

series132.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

99.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
21.0ms	(/ 2 (+ (exp (* -2 x)) 1))
12.0ms	(+ (exp (* -2 x)) 1)

simplify2.0s

Counts: 76 → 76

prune686.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

16.9b	(+ (* (pow x 5) 2/15) (+ x (* (* x x) (* -1/3 x))))
0.4b	(* -1/3 x)
0.1b	(* (* x x) (* -1/3 x))
0.1b	(* (pow x 5) 2/15)

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
16×	`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`
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

50.0ms	(* (* x x) (* -1/3 x))
24.0ms	(+ (* (pow x 5) 2/15) (+ x (* (* x x) (* -1/3 x))))
16.0ms	(* (pow x 5) 2/15)
10.0ms	(* -1/3 x)

series234.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

82.0ms	(* (pow x 5) 2/15)
81.0ms	(+ (* (pow x 5) 2/15) (+ x (* (* x x) (* -1/3 x))))
55.0ms	(* (* x x) (* -1/3 x))
16.0ms	(* -1/3 x)

simplify2.1s

Counts: 94 → 94

prune854.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes116.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.4b

bsearch181.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.4s	1707×	body	1280	valid
517.0ms	1264×	body	640	valid
388.0ms	4090×	body	80	valid
264.0ms	633×	body	320	valid
88.0ms	306×	body	160	valid