Details

sample72.0ms

Algorithm

intervals

Results

46.0ms	88×	body	1280	valid
9.0ms	35×	body	640	valid
4.0ms	25×	body	320	valid
3.0ms	92×	body	80	valid
3.0ms	103×	body	80	nan
1.0ms	16×	body	160	valid

simplify7.0ms

Calls

1 calls:

Slowest

7.0ms

(log (+ 1 x))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.8b

localize6.0ms

Local error

Found 1 expressions with local error:

4.4b	(log (+ 1 x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
1×	`flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Calls

1 calls:

Slowest

5.0ms

(log (+ 1 x))

series38.0ms

Calls

1 calls:

Slowest

38.0ms

(log (+ 1 x))

simplify1.3s

Calls

10 calls:

Slowest

785.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
199.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
133.0ms	(- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
62.0ms	(log (+ (pow 1 3) (pow x 3)))
27.0ms	(log (sqrt (+ 1 x)))

prune164.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x 1/3)
0.0b	(* x (+ -1/2 (* x 1/3)))
0.0b	(* x (* x (+ -1/2 (* x 1/3))))
0.0b	(+ -1/2 (* x 1/3))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
7×	`associate-r`
6×	`associate-*r/` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`insert-posit16`
3×	`flip3-+` `*-commutative` `flip-+`
2×	`unswap-sqr`
1×	`+-commutative` `sum-log`

Calls

4 calls:

Slowest

35.0ms	(* x (* x (+ -1/2 (* x 1/3))))
22.0ms	(* x (+ -1/2 (* x 1/3)))
8.0ms	(+ -1/2 (* x 1/3))
8.0ms	(* x 1/3)

series315.0ms

Calls

4 calls:

Slowest

136.0ms	(* x (* x (+ -1/2 (* x 1/3))))
86.0ms	(* x (+ -1/2 (* x 1/3)))
66.0ms	(+ -1/2 (* x 1/3))
27.0ms	(* x 1/3)

simplify2.9s

Calls

51 calls:

Slowest

388.0ms	(* (* (* x x) x) (* (* (* x x) x) (* (* (+ -1/2 (* x 1/3)) (+ -1/2 (* x 1/3))) (+ -1/2 (* x 1/3)))))
268.0ms	(* (* (* x x) x) (* (* (* x (+ -1/2 (* x 1/3))) (* x (+ -1/2 (* x 1/3)))) (* x (+ -1/2 (* x 1/3)))))
215.0ms	(+ (* -1/2 -1/2) (- (* (* x 1/3) (* x 1/3)) (* -1/2 (* x 1/3))))
205.0ms	(- (* 1/3 (pow x 3)) (* 1/2 (pow x 2)))
202.0ms	(+ (* -1/2 -1/2) (- (* (* x 1/3) (* x 1/3)) (* -1/2 (* x 1/3))))

prune644.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

4.4b	(log (sqrt (+ 1 x)))
4.4b	(log (sqrt (+ 1 x)))
0.0b	(sqrt (+ 1 x))
0.0b	(sqrt (+ 1 x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`sqrt-prod`
14×	`log-prod`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`log-div` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Calls

4 calls:

Slowest

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

series204.0ms

Calls

4 calls:

Slowest

84.0ms	(log (sqrt (+ 1 x)))
69.0ms	(log (sqrt (+ 1 x)))
26.0ms	(sqrt (+ 1 x))
23.0ms	(sqrt (+ 1 x))

simplify1.4s

Calls

50 calls:

Slowest

247.0ms	(- (+ (* 1/2 x) (* 1/6 (pow x 3))) (* 1/4 (pow x 2)))
214.0ms	(- (+ (* 1/2 x) (* 1/6 (pow x 3))) (* 1/4 (pow x 2)))
147.0ms	(- (+ (* 1/2 x) 1) (* 1/8 (pow x 2)))
118.0ms	(- (+ (* 1/2 x) 1) (* 1/8 (pow x 2)))
86.0ms	(log (sqrt (+ (pow 1 3) (pow x 3))))

prune664.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 3 expressions with local error:

4.4b	(log (sqrt (+ 1 x)))
4.4b	(log (+ 1 x))
0.0b	(sqrt (+ 1 x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

Slowest

10.0ms	(sqrt (+ 1 x))
3.0ms	(log (sqrt (+ 1 x)))
3.0ms	(log (+ 1 x))

series175.0ms

Calls

3 calls:

Slowest

96.0ms	(log (sqrt (+ 1 x)))
42.0ms	(sqrt (+ 1 x))
38.0ms	(log (+ 1 x))

simplify1.5s

Calls

35 calls:

Slowest

351.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
240.0ms	(- (+ (* 1/2 x) (* 1/6 (pow x 3))) (* 1/4 (pow x 2)))
222.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
184.0ms	(- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
94.0ms	(log (sqrt (+ (pow 1 3) (pow x 3))))

prune506.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes98.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 20.8b

bsearch36.0ms

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.8s	2356×	body	1280	valid
588.0ms	1547×	body	640	valid
215.0ms	882×	body	320	valid
196.0ms	2809×	body	80	valid
129.0ms	2702×	body	80	nan
51.0ms	406×	body	160	valid