Details

sample61.0ms

Algorithm

intervals

Results

20.0ms	50×	body	1280	valid
14.0ms	45×	body	640	valid
9.0ms	137×	body	80	valid
2.0ms	12×	body	320	valid
2.0ms	12×	body	160	valid

simplify1.5s

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.7b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

97×	`*-un-lft-identity`
72×	`add-sqr-sqrt`
63×	`times-frac`
61×	`add-cube-cbrt`
54×	`prod-diff`
18×	`fma-neg`
16×	`distribute-lft-out`
10×	`associate-/r/`
7×	`add-exp-log`
5×	`flip3-+` `flip-+` `div-inv`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `expm1-def` `difference-of-sqr-1` `div-exp` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

2 → 132

Calls

2 calls:

Slowest

113.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
21.0ms	(/ 2 (+ 1 (exp (* -2 x))))

series124.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

85.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
38.0ms	(/ 2 (+ 1 (exp (* -2 x))))

simplify1.3s

Counts: 138 → 138

prune1.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

97×	`*-un-lft-identity`
72×	`add-sqr-sqrt`
63×	`times-frac`
61×	`add-cube-cbrt`
54×	`prod-diff`
18×	`fma-neg`
16×	`distribute-lft-out`
10×	`associate-/r/`
7×	`add-exp-log`
5×	`flip3-+` `flip-+` `div-inv`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `expm1-def` `difference-of-sqr-1` `div-exp` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

2 → 132

Calls

2 calls:

Slowest

89.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
21.0ms	(/ 2 (+ 1 (exp (* -2 x))))

series122.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

89.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
33.0ms	(/ 2 (+ 1 (exp (* -2 x))))

simplify1.4s

Counts: 138 → 138

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

20.3b	(- (fma (pow x 5) 2/15 x) (* (* x x) (* 1/3 x)))
0.4b	(* 1/3 x)
0.1b	(* (* x x) (* 1/3 x))
0.0b	(fma (pow x 5) 2/15 x)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-log-exp`
4×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `prod-diff`
2×	`*-commutative` `fma-udef`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

Slowest

26.0ms	(* (* x x) (* 1/3 x))
9.0ms	(- (fma (pow x 5) 2/15 x) (* (* x x) (* 1/3 x)))
5.0ms	(* 1/3 x)
0.0ms	(fma (pow x 5) 2/15 x)

series347.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

169.0ms	(fma (pow x 5) 2/15 x)
94.0ms	(- (fma (pow x 5) 2/15 x) (* (* x x) (* 1/3 x)))
68.0ms	(* (* x x) (* 1/3 x))
16.0ms	(* 1/3 x)

simplify1.3s

Counts: 91 → 91

prune986.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes293.0ms

Accuracy

100% (0.0b remaining)

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

bsearch142.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.0s	1765×	body	1280	valid
780.0ms	4049×	body	80	valid
512.0ms	1255×	body	640	valid
196.0ms	605×	body	320	valid
89.0ms	326×	body	160	valid