Details

sample136.0ms

Algorithm

intervals

Results

64.0ms	75×	body	1280	valid
36.0ms	50×	body	640	valid
11.0ms	20×	body	2560	valid
7.0ms	25×	body	320	valid
6.0ms	75×	body	80	valid
2.0ms	11×	body	160	valid

simplify12.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.3b

localize19.0ms

Local error

Found 3 expressions with local error:

2.6b	(log (+ x (hypot 1 x)))
0.6b	(+ 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

8.0ms	(+ x (hypot 1 x))
6.0ms	(log (+ x (hypot 1 x)))
0.0ms	(hypot 1 x)

series372.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

200.0ms	(log (+ x (hypot 1 x)))
92.0ms	(+ x (hypot 1 x))
80.0ms	(hypot 1 x)

simplify521.0ms

Counts: 59 → 56

prune407.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

18.2b	(fma -1/6 (* (* x x) x) (fma 3/40 (pow x 5) x))
0.1b	(* (* x x) x)
0.0b	(fma 3/40 (pow x 5) x)

rewrite15.0ms

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

14.0ms	(* (* 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

179.0ms	(fma 3/40 (pow x 5) x)
68.0ms	(fma -1/6 (* (* x x) x) (fma 3/40 (pow x 5) x))
55.0ms	(* (* x x) x)

simplify383.0ms

Counts: 61 → 62

prune520.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

2.6b	(log (sqrt (+ x (hypot 1 x))))
2.6b	(log (sqrt (+ x (hypot 1 x))))
0.6b	(+ x (hypot 1 x))
0.6b	(+ x (hypot 1 x))

rewrite29.0ms

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

series481.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

163.0ms	(log (sqrt (+ x (hypot 1 x))))
152.0ms	(log (sqrt (+ x (hypot 1 x))))
89.0ms	(+ x (hypot 1 x))
77.0ms	(+ x (hypot 1 x))

simplify465.0ms

Counts: 106 → 94

prune766.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

2.6b	(log (+ x (hypot 1 x)))
0.6b	(+ x (hypot 1 x))
0.3b	(exp (log (log (+ x (hypot 1 x)))))
0.0b	(hypot 1 x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

Slowest

7.0ms	(+ x (hypot 1 x))
5.0ms	(exp (log (log (+ x (hypot 1 x)))))
3.0ms	(log (+ x (hypot 1 x)))
0.0ms	(hypot 1 x)

series535.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

192.0ms	(exp (log (log (+ x (hypot 1 x)))))
186.0ms	(log (+ x (hypot 1 x)))
79.0ms	(hypot 1 x)
77.0ms	(+ x (hypot 1 x))

simplify549.0ms

Counts: 84 → 78

prune562.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 31.0b

bsearch137.0ms

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.9s	2320×	body	1280	valid
1.3s	1625×	body	640	valid
492.0ms	793×	body	2560	valid
215.0ms	753×	body	320	valid
184.0ms	2116×	body	80	valid
70.0ms	393×	body	160	valid