Details

sample108.0ms

Algorithm

intervals

Results

56.0ms	86×	body	1280	valid
19.0ms	49×	body	640	valid
11.0ms	21×	body	2560	valid
6.0ms	26×	body	320	valid
4.0ms	64×	body	80	valid
2.0ms	10×	body	160	valid

simplify38.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.8b

localize12.0ms

Local error

Found 3 expressions with local error:

14.3b	(sqrt (+ (* x x) 1))
2.5b	(log (+ x (sqrt (+ (* x x) 1))))
0.6b	(+ x (sqrt (+ (* x x) 1)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
5×	`pow1` `add-cube-cbrt` `add-log-exp`
4×	`log-prod` `add-exp-log`
3×	`flip3-+` `add-cbrt-cube` `sqrt-prod` `flip-+` `insert-posit16`
2×	`log-div` `sqrt-div` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2` `rem-log-exp` `log-pow`

Counts

3 → 45

Calls

3 calls:

Slowest

18.0ms	(+ x (sqrt (+ (* x x) 1)))
12.0ms	(log (+ x (sqrt (+ (* x x) 1))))
7.0ms	(sqrt (+ (* x x) 1))

series258.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

148.0ms	(log (+ x (sqrt (+ (* x x) 1))))
67.0ms	(+ x (sqrt (+ (* x x) 1)))
42.0ms	(sqrt (+ (* x x) 1))

simplify1.7s

Counts: 54 → 54

prune472.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

19.0b	(+ (- x (* (* (* x x) x) 1/6)) (* 3/40 (* (* x x) (* (* x x) x))))
0.1b	(* (* (* x x) x) 1/6)
0.1b	(* 3/40 (* (* x x) (* (* x x) x)))
0.1b	(* (* x x) x)

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
47×	`add-cbrt-cube` `add-exp-log`
31×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
8×	`add-sqr-sqrt`
7×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
6×	`pow-plus` `pow-prod-up`
5×	`associate-l`
4×	`insert-posit16`
3×	`*-commutative`
2×	`pow2` `associate-+l+` `sum-log` `pow-sqr`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `pow3` `associate-+l-` `flip-+` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

Slowest

156.0ms	(* 3/40 (* (* x x) (* (* x x) x)))
86.0ms	(+ (- x (* (* (* x x) x) 1/6)) (* 3/40 (* (* x x) (* (* x x) x))))
64.0ms	(* (* (* x x) x) 1/6)
30.0ms	(* (* x x) x)

series247.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

78.0ms	(+ (- x (* (* (* x x) x) 1/6)) (* 3/40 (* (* x x) (* (* x x) x))))
68.0ms	(* 3/40 (* (* x x) (* (* x x) x)))
54.0ms	(* (* (* x x) x) 1/6)
47.0ms	(* (* x x) x)

simplify2.6s

Counts: 113 → 113

prune899.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

10.7b	(log (+ x (+ (+ (/ (/ -1/8 (* x x)) x) x) (/ 1/2 x))))
0.5b	(/ -1/8 (* x x))
0.1b	(/ (/ -1/8 (* x x)) x)
0.0b	(+ (+ (/ (/ -1/8 (* x x)) x) x) (/ 1/2 x))

rewrite436.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
36×	`times-frac`
23×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`add-exp-log`
18×	`add-cbrt-cube`
10×	`associate-/l*`
9×	`distribute-lft-out` `add-log-exp`
7×	`cbrt-undiv` `div-exp`
6×	`log-prod` `div-inv`
5×	`pow1`
4×	`associate-/r*` `insert-posit16`
3×	`sum-log` `flip3-+` `flip-+`
2×	`log-div` `clear-num` `frac-2neg` `frac-add` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `associate-+l+` `rem-log-exp` `log-pow` `associate-/l/`

Counts

4 → 107

Calls

4 calls:

Slowest

241.0ms	(log (+ x (+ (+ (/ (/ -1/8 (* x x)) x) x) (/ 1/2 x))))
159.0ms	(+ (+ (/ (/ -1/8 (* x x)) x) x) (/ 1/2 x))
24.0ms	(/ (/ -1/8 (* x x)) x)
11.0ms	(/ -1/8 (* x x))

series291.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

141.0ms	(log (+ x (+ (+ (/ (/ -1/8 (* x x)) x) x) (/ 1/2 x))))
63.0ms	(+ (+ (/ (/ -1/8 (* x x)) x) x) (/ 1/2 x))
51.0ms	(/ (/ -1/8 (* x x)) x)
36.0ms	(/ -1/8 (* x x))

simplify603.0ms

Counts: 119 → 119

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

20.3b	(- (/ -1/16 (* (* x x) (* (* x x) x))) (- (/ 1/2 x) (/ 1/8 (* (* x x) x))))
12.9b	(log (- (/ -1/16 (* (* x x) (* (* x x) x))) (- (/ 1/2 x) (/ 1/8 (* (* x x) x)))))
0.4b	(/ 1/8 (* (* x x) x))
0.1b	(* (* x x) x)

rewrite497.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
19×	`add-exp-log`
18×	`*-un-lft-identity` `add-cbrt-cube`
13×	`add-sqr-sqrt`
9×	`add-log-exp`
8×	`frac-sub` `add-cube-cbrt`
6×	`log-prod` `pow-plus` `prod-exp` `pow-prod-up` `cbrt-unprod` `distribute-lft-out--`
5×	`log-div`
4×	`flip3--` `insert-posit16` `flip--`
3×	`cbrt-undiv` `times-frac` `diff-log` `div-exp` `associate-r` `pow-prod-down` `associate-/l*`
2×	`pow2` `sub-neg` `pow-sqr` `associate--r+` `difference-of-squares`
1×	`clear-num` `associate-/r` `frac-2neg` `rem-log-exp` `associate-l` `pow3` `log-pow` `-commutative` `div-inv` `associate--r-` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

Slowest

255.0ms	(- (/ -1/16 (* (* x x) (* (* x x) x))) (- (/ 1/2 x) (/ 1/8 (* (* x x) x))))
193.0ms	(log (- (/ -1/16 (* (* x x) (* (* x x) x))) (- (/ 1/2 x) (/ 1/8 (* (* x x) x)))))
25.0ms	(/ 1/8 (* (* x x) x))
23.0ms	(* (* x x) x)

series324.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

130.0ms	(log (- (/ -1/16 (* (* x x) (* (* x x) x))) (- (/ 1/2 x) (/ 1/8 (* (* x x) x)))))
77.0ms	(- (/ -1/16 (* (* x x) (* (* x x) x))) (- (/ 1/2 x) (/ 1/8 (* (* x x) x))))
62.0ms	(* (* x x) x)
54.0ms	(/ 1/8 (* (* x x) x))

simplify1.2s

Counts: 109 → 109

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes49.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 31.6b

bsearch121.0ms

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.5s	2418×	body	1280	valid
826.0ms	1498×	body	640	valid
523.0ms	811×	body	2560	valid
305.0ms	745×	body	320	valid
208.0ms	2135×	body	80	valid
73.0ms	393×	body	160	valid