Details

sample98.0ms

Algorithm

intervals

Results

48.0ms	65×	body	1280	valid
14.0ms	32×	body	640	valid
13.0ms	134×	body	80	valid
4.0ms	14×	body	320	valid
3.0ms	11×	body	160	valid

simplify1.1s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.4b

localize13.0ms

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)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 150

Calls

3 calls:

Slowest

74.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
10.0ms	(/ 2 (+ 1 (exp (* -2 x))))
6.0ms	(+ 1 (exp (* -2 x)))

series139.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

83.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
37.0ms	(/ 2 (+ 1 (exp (* -2 x))))
19.0ms	(+ 1 (exp (* -2 x)))

simplify1.1s

Counts: 159 → 159

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

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)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 150

Calls

3 calls:

Slowest

96.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
15.0ms	(/ 2 (+ 1 (exp (* -2 x))))
6.0ms	(+ 1 (exp (* -2 x)))

series113.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

81.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
21.0ms	(/ 2 (+ 1 (exp (* -2 x))))
11.0ms	(+ 1 (exp (* -2 x)))

simplify1.1s

Counts: 159 → 159

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

16.9b	(fma (* x (* x x)) -1/3 (fma (pow x 5) 2/15 x))
0.1b	(* x (* x x))
0.0b	(fma (pow x 5) 2/15 x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `pow-prod-up`
4×	`*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`pow2` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

Slowest

14.0ms	(* x (* x x))
0.0ms	(fma (* x (* x x)) -1/3 (fma (pow x 5) 2/15 x))
0.0ms	(fma (pow x 5) 2/15 x)

series327.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

205.0ms	(fma (pow x 5) 2/15 x)
72.0ms	(fma (* x (* x x)) -1/3 (fma (pow x 5) 2/15 x))
50.0ms	(* x (* x x))

simplify2.1s

Counts: 58 → 58

prune590.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes242.0ms

Accuracy

100% (0.0b remaining)

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

bsearch146.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.6s	1707×	body	1280	valid
595.0ms	1264×	body	640	valid
337.0ms	4090×	body	80	valid
208.0ms	633×	body	320	valid
54.0ms	306×	body	160	valid