Details

sample148.0ms

Algorithm

intervals

Results

72.0ms	76×	body	1280	valid
30.0ms	50×	body	640	valid
19.0ms	27×	body	2560	valid
7.0ms	75×	body	80	valid
7.0ms	19×	body	320	valid
2.0ms	9×	body	160	valid

simplify11.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.0b

localize24.0ms

Local error

Found 3 expressions with local error:

2.1b	(log (+ x (hypot 1 x)))
1.1b	(+ x (hypot 1 x))
0.0b	(hypot 1 x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
4×	`pow1` `log-prod` `add-exp-log`
3×	`expm1-log1p-u` `fma-def` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
2×	`log-div` `flip3-+` `flip-+` `distribute-lft-out`
1×	`+-commutative` `hypot-udef` `sum-log` `rem-log-exp` `log-pow`

Counts

3 → 47

Calls

3 calls:

Slowest

9.0ms	(+ x (hypot 1 x))
6.0ms	(log (+ x (hypot 1 x)))
0.0ms	(hypot 1 x)

series315.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

173.0ms	(log (+ x (hypot 1 x)))
82.0ms	(+ x (hypot 1 x))
60.0ms	(hypot 1 x)

simplify1.9s

Counts: 56 → 56

prune470.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

19.8b	(fma -1/6 (* (* x x) x) (fma 3/40 (pow x 5) x))
0.0b	(* (* x x) x)
0.0b	(fma 3/40 (pow x 5) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow-plus` `pow-prod-up`
5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-sqr` `fma-udef`
1×	`associate-l` `pow3` `*-commutative` `unswap-sqr`

Counts

3 → 53

Calls

3 calls:

Slowest

15.0ms	(* (* x x) x)
0.0ms	(fma -1/6 (* (* x x) x) (fma 3/40 (pow x 5) x))
0.0ms	(fma 3/40 (pow x 5) x)

series303.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

175.0ms	(fma 3/40 (pow x 5) x)
78.0ms	(fma -1/6 (* (* x x) x) (fma 3/40 (pow x 5) x))
50.0ms	(* (* x x) x)

simplify2.5s

Counts: 62 → 62

prune575.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

2.1b	(log (sqrt (+ x (hypot 1 x))))
2.1b	(log (sqrt (+ x (hypot 1 x))))
1.1b	(+ x (hypot 1 x))
1.1b	(+ x (hypot 1 x))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
14×	`log-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1` `sqrt-prod` `add-log-exp`
6×	`fma-def` `add-exp-log` `log-pow`
4×	`expm1-log1p-u` `log-div` `flip3-+` `add-cbrt-cube` `sqrt-div` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
2×	`+-commutative` `sum-log` `sqrt-pow1` `pow1/2` `rem-log-exp`

Counts

4 → 82

Calls

4 calls:

Slowest

11.0ms	(log (sqrt (+ x (hypot 1 x))))
9.0ms	(+ x (hypot 1 x))
8.0ms	(+ x (hypot 1 x))
8.0ms	(log (sqrt (+ x (hypot 1 x))))

series482.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

171.0ms	(log (sqrt (+ x (hypot 1 x))))
147.0ms	(log (sqrt (+ x (hypot 1 x))))
94.0ms	(+ x (hypot 1 x))
70.0ms	(+ x (hypot 1 x))

simplify1.2s

Counts: 94 → 94

prune799.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

2.1b	(log (sqrt (+ x (hypot 1 x))))
2.1b	(log (+ x (hypot 1 x)))
1.1b	(+ x (hypot 1 x))
1.1b	(+ x (hypot 1 x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
11×	`log-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`add-log-exp`
7×	`pow1`
6×	`fma-def` `add-exp-log`
4×	`expm1-log1p-u` `log-div` `flip3-+` `add-cbrt-cube` `log-pow` `sqrt-prod` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
2×	`+-commutative` `sum-log` `sqrt-div` `rem-log-exp`
1×	`sqrt-pow1` `pow1/2`

Counts

4 → 77

Calls

4 calls:

Slowest

5.0ms	(+ x (hypot 1 x))
4.0ms	(+ x (hypot 1 x))
4.0ms	(log (sqrt (+ x (hypot 1 x))))
3.0ms	(log (+ x (hypot 1 x)))

series526.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

203.0ms	(log (+ x (hypot 1 x)))
145.0ms	(log (sqrt (+ x (hypot 1 x))))
105.0ms	(+ x (hypot 1 x))
72.0ms	(+ x (hypot 1 x))

simplify817.0ms

Counts: 89 → 89

prune840.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes50.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 31.0b

bsearch119.0ms

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.4s	2361×	body	1280	valid
916.0ms	1587×	body	640	valid
572.0ms	815×	body	2560	valid
272.0ms	757×	body	320	valid
255.0ms	2099×	body	80	valid
74.0ms	381×	body	160	valid