Details

sample79.0ms

Algorithm

intervals

Results

35.0ms	61×	body	1280	valid
13.0ms	34×	body	640	valid
12.0ms	138×	body	80	valid
3.0ms	10×	body	320	valid
3.0ms	13×	body	160	valid

simplify1.4s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize15.0ms

Local error

Found 3 expressions with local error:

3.0b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))

rewrite85.0ms

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

64.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
12.0ms	(/ 2 (+ 1 (exp (* -2 x))))
5.0ms	(+ 1 (exp (* -2 x)))

series129.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

77.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
40.0ms	(/ 2 (+ 1 (exp (* -2 x))))
12.0ms	(+ 1 (exp (* -2 x)))

simplify1.0s

Counts: 159 → 159

prune1.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

3.0b	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
0.0b	(/ 2 (+ (exp (* -2 x)) 1))
0.0b	(+ (exp (* -2 x)) 1)

rewrite127.0ms

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

98.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
17.0ms	(/ 2 (+ (exp (* -2 x)) 1))
9.0ms	(+ (exp (* -2 x)) 1)

series144.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

81.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
44.0ms	(/ 2 (+ (exp (* -2 x)) 1))
19.0ms	(+ (exp (* -2 x)) 1)

simplify1.4s

Counts: 159 → 159

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

22.9b	(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)

rewrite16.0ms

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

series349.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

200.0ms	(fma (pow x 5) 2/15 x)
90.0ms	(fma (* x (* x x)) -1/3 (fma (pow x 5) 2/15 x))
58.0ms	(* x (* x x))

simplify2.5s

Counts: 58 → 58

prune609.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

28.2b	(fma (/ 2 (expm1 (* x -4))) (expm1 (* x -2)) -1)
0.0b	(/ 2 (expm1 (* x -4)))
0.0b	(expm1 (* x -2))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
5×	`add-cbrt-cube` `add-exp-log`
4×	`log1p-expm1-u`
3×	`expm1-log1p-u` `pow1` `associate-/r` `insert-posit16` `associate-/l` `add-log-exp`
1×	`cbrt-undiv` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv` `expm1-udef`

Counts

3 → 53

Calls

3 calls:

Slowest

4.0ms	(/ 2 (expm1 (* x -4)))
1.0ms	(expm1 (* x -2))
0.0ms	(fma (/ 2 (expm1 (* x -4))) (expm1 (* x -2)) -1)

series221.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

162.0ms	(fma (/ 2 (expm1 (* x -4))) (expm1 (* x -2)) -1)
40.0ms	(/ 2 (expm1 (* x -4)))
19.0ms	(expm1 (* x -2))

simplify1.7s

Counts: 62 → 62

prune625.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes122.0ms

Accuracy

100% (0.0b remaining)

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

bsearch145.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	1684×	body	1280	valid
806.0ms	4139×	body	80	valid
538.0ms	1242×	body	640	valid
166.0ms	580×	body	320	valid
64.0ms	355×	body	160	valid