Details

sample230.0ms

Algorithm

intervals

Results

133.0ms	132×	body	1280	valid
33.0ms	56×	body	640	valid
26.0ms	259×	body	80	nan
15.0ms	37×	body	320	valid
5.0ms	20×	body	160	valid
1.0ms	11×	body	80	valid

simplify147.0ms

Calls

1 calls:

Slowest

147.0ms

(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize13.0ms

Local error

Found 2 expressions with local error:

5.8b	(log (/ (+ x 1) (- 1 x)))
0.0b	(/ (+ x 1) (- 1 x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`associate-/r*`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `insert-posit16` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Calls

2 calls:

Slowest

21.0ms	(/ (+ x 1) (- 1 x))
10.0ms	(log (/ (+ x 1) (- 1 x)))

series115.0ms

Calls

2 calls:

Slowest

85.0ms	(log (/ (+ x 1) (- 1 x)))
30.0ms	(/ (+ x 1) (- 1 x))

simplify4.1s

Calls

101 calls:

Slowest

431.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
382.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
349.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
316.0ms	(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))
294.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))

prune791.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 2/3 x)
0.1b	(* x (* 2/3 x))
0.1b	(* (pow x 5) 2/5)
0.0b	(* x (+ (* x (* 2/3 x)) 2))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-l`
15×	`add-cbrt-cube`
13×	`pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Calls

4 calls:

Slowest

79.0ms	(* x (+ (* x (* 2/3 x)) 2))
25.0ms	(* x (* 2/3 x))
17.0ms	(* (pow x 5) 2/5)
8.0ms	(* 2/3 x)

series279.0ms

Calls

4 calls:

Slowest

136.0ms	(* x (+ (* x (* 2/3 x)) 2))
67.0ms	(* (pow x 5) 2/5)
49.0ms	(* x (* 2/3 x))
28.0ms	(* 2/3 x)

simplify3.0s

Calls

61 calls:

Slowest

369.0ms	(+ (* (* x (* 2/3 x)) (* x (* 2/3 x))) (- (* 2 2) (* (* x (* 2/3 x)) 2)))
269.0ms	(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
200.0ms	(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x)))
197.0ms	(* (* (* x x) x) (* (* (+ (* x (* 2/3 x)) 2) (+ (* x (* 2/3 x)) 2)) (+ (* x (* 2/3 x)) 2)))
189.0ms	(* (* (* (pow x 5) (pow x 5)) (pow x 5)) (* (* 2/5 2/5) 2/5))

prune888.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 2/3 x)
0.1b	(* (* x (* 2/3 x)) x)
0.1b	(* x (* 2/3 x))
0.1b	(* (pow x 5) 2/5)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`pow1`
18×	`add-sqr-sqrt`
14×	`associate-l`
13×	`prod-exp`
11×	`*-un-lft-identity` `add-cube-cbrt` `cbrt-unprod`
10×	`associate-r` `pow-prod-down`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Calls

4 calls:

Slowest

58.0ms	(* (* x (* 2/3 x)) x)
26.0ms	(* x (* 2/3 x))
8.0ms	(* (pow x 5) 2/5)
5.0ms	(* 2/3 x)

series159.0ms

Calls

4 calls:

Slowest

60.0ms	(* (pow x 5) 2/5)
48.0ms	(* (* x (* 2/3 x)) x)
35.0ms	(* x (* 2/3 x))
15.0ms	(* 2/3 x)

simplify3.6s

Calls

58 calls:

Slowest

562.0ms	(* (* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x))) (* (* x x) x))
490.0ms	(* (* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x))) (* (* x x) x))
427.0ms	(* (* (* (* x (* 2/3 x)) (* x (* 2/3 x))) (* x (* 2/3 x))) (* (* x x) x))
233.0ms	(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
207.0ms	(* (* (* (pow x 5) (pow x 5)) (pow x 5)) (* (* 2/5 2/5) 2/5))

prune991.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

2.3b	(log (exp (* x (* 2/3 x))))
0.3b	(* 2/3 x)
0.1b	(* x (* 2/3 x))
0.1b	(* (pow x 5) 2/5)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log`
13×	`add-cbrt-cube` `associate-l`
12×	`pow1`
11×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r` `prod-exp`
5×	`cbrt-unprod` `add-log-exp`
4×	`unpow-prod-down` `pow-prod-down` `insert-posit16` `unswap-sqr`
3×	`log-prod` `log-pow` `*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `exp-prod` `exp-to-pow` `rem-log-exp` `pow-exp`

Calls

4 calls:

Slowest

23.0ms	(* x (* 2/3 x))
10.0ms	(* 2/3 x)
8.0ms	(* (pow x 5) 2/5)
5.0ms	(log (exp (* x (* 2/3 x))))

series140.0ms

Calls

4 calls:

Slowest

61.0ms	(* (pow x 5) 2/5)
33.0ms	(log (exp (* x (* 2/3 x))))
31.0ms	(* x (* 2/3 x))
16.0ms	(* 2/3 x)

simplify2.3s

Calls

52 calls:

Slowest

285.0ms	(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
218.0ms	(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x)))
201.0ms	(log (* (cbrt (exp (* x (* 2/3 x)))) (cbrt (exp (* x (* 2/3 x))))))
190.0ms	(log (sqrt (exp (* x (* 2/3 x)))))
187.0ms	(* (* (* (pow x 5) (pow x 5)) (pow x 5)) (* (* 2/5 2/5) 2/5))

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes20.0ms

Accuracy

0% (0.2b remaining)

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

bsearch5.0ms

end0.0ms

sample7.9s

Algorithm

intervals

Results

3.5s	3505×	body	1280	valid
1.7s	8107×	body	80	nan
1.6s	2379×	body	640	valid
611.0ms	1309×	body	320	valid
146.0ms	611×	body	160	valid
22.0ms	196×	body	80	valid