Details

sample224.0ms

Algorithm

intervals

Results

119.0ms	132×	body	1280	valid
32.0ms	56×	body	640	valid
25.0ms	20×	body	160	valid
24.0ms	259×	body	80	nan
12.0ms	37×	body	320	valid
1.0ms	11×	body	80	valid

simplify102.0ms

Calls

1 calls:

Slowest

102.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

18×	`times-frac`
17×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
15×	`log-prod`
7×	`add-exp-log`
4×	`add-cbrt-cube` `associate-/r/`
3×	`pow1` `associate-/r` `associate-/l`
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

7.0ms	(/ (+ x 1) (- 1 x))
4.0ms	(log (/ (+ x 1) (- 1 x)))

series110.0ms

Calls

2 calls:

Slowest

77.0ms	(log (/ (+ x 1) (- 1 x)))
32.0ms	(/ (+ x 1) (- 1 x))

simplify2.5s

Calls

53 calls:

Slowest

827.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
150.0ms	(log (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- 1 x)) (cbrt (- 1 x)))))
133.0ms	(- (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) 1)))
129.0ms	(- (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) 1)))
121.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))

prune550.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

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))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `*-commutative` `insert-posit16` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Calls

4 calls:

Slowest

4.0ms	(* x (+ (* x (* 2/3 x)) 2))
3.0ms	(* (pow x 5) 2/5)
1.0ms	(* x (* 2/3 x))
0.0ms	(* 2/3 x)

series262.0ms

Calls

4 calls:

Slowest

135.0ms	(* x (+ (* x (* 2/3 x)) 2))
73.0ms	(* (pow x 5) 2/5)
37.0ms	(* x (* 2/3 x))
16.0ms	(* 2/3 x)

simplify721.0ms

Calls

21 calls:

Slowest

323.0ms	(+ (* (* x (* 2/3 x)) (* x (* 2/3 x))) (- (* 2 2) (* (* x (* 2/3 x)) 2)))
70.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
68.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
62.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
31.0ms	(- (* x (* 2/3 x)) 2)

prune560.0ms

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `*-commutative` `insert-posit16` `add-log-exp`
3×	`associate-l`
2×	`associate-r`

Calls

4 calls:

Slowest

7.0ms	(* x (* x (* 2/3 x)))
5.0ms	(* (pow x 5) 2/5)
2.0ms	(* x (* 2/3 x))
1.0ms	(* 2/3 x)

series215.0ms

Calls

4 calls:

Slowest

106.0ms	(* (pow x 5) 2/5)
43.0ms	(* x (* 2/3 x))
42.0ms	(* x (* x (* 2/3 x)))
23.0ms	(* 2/3 x)

simplify144.0ms

Calls

15 calls:

Slowest

25.0ms	(* 2/3 (pow x 3))
20.0ms	(* 2/3 (pow x 3))
11.0ms	(* 2/3 (pow x 3))
8.0ms	(* (cbrt (pow x 5)) (cbrt (pow x 5)))
8.0ms	(* 2/3 (pow x 2))

prune629.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`log-prod` `associate-l` `*-commutative`
2×	`log-pow`
1×	`exp-prod` `rem-log-exp` `associate-r`

Calls

4 calls:

Slowest

3.0ms	(* (pow x 5) 2/5)
3.0ms	(log (exp (* x (* 2/3 x))))
1.0ms	(* x (* 2/3 x))
0.0ms	(* 2/3 x)

series164.0ms

Calls

4 calls:

Slowest

68.0ms	(* (pow x 5) 2/5)
41.0ms	(* x (* 2/3 x))
35.0ms	(log (exp (* x (* 2/3 x))))
20.0ms	(* 2/3 x)

simplify226.0ms

Calls

18 calls:

Slowest

45.0ms	(log (sqrt (exp (* x (* 2/3 x)))))
36.0ms	(log (* (cbrt (exp (* x (* 2/3 x)))) (cbrt (exp (* x (* 2/3 x))))))
17.0ms	(* 2/3 (pow x 2))
16.0ms	(* 2/3 (pow x 2))
16.0ms	(* 2/3 (pow x 2))

prune658.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes37.0ms

Accuracy

0% (0.2b remaining)

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

bsearch5.0ms

end0.0ms

sample7.5s

Algorithm

intervals

Results

3.8s	3505×	body	1280	valid
1.9s	2379×	body	640	valid
839.0ms	8107×	body	80	nan
550.0ms	1309×	body	320	valid
172.0ms	611×	body	160	valid
22.0ms	196×	body	80	valid