Details

sample253.0ms

Algorithm

intervals

Results

144.0ms	120×	body	1280	valid
51.0ms	83×	body	640	valid
27.0ms	263×	body	80	nan
12.0ms	29×	body	320	valid
5.0ms	20×	body	160	valid
0.0ms	4×	body	80	valid

simplify115.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

115.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize12.0ms

Local error

Found 2 expressions with local error:

6.0b	(log (/ (+ x 1) (- 1 x)))
0.0b	(/ (+ x 1) (- 1 x))

rewrite24.0ms

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-+`

Counts

2 → 93

Calls

2 calls:

Slowest

16.0ms	(/ (+ x 1) (- 1 x))
6.0ms	(log (/ (+ x 1) (- 1 x)))

series110.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

72.0ms	(log (/ (+ x 1) (- 1 x)))
37.0ms	(/ (+ x 1) (- 1 x))

simplify4.6s

Counts

101 → 99

Calls

101 calls:

Slowest

468.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
390.0ms	(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))
366.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
335.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
323.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))

prune822.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.4b	(* 2/3 x)
0.1b	(* x (* 2/3 x))
0.1b	(* (pow x 5) 2/5)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

Slowest

13.0ms	(* x (* 2/3 x))
8.0ms	(* (pow x 5) 2/5)
5.0ms	(* 2/3 x)

series122.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

63.0ms	(* (pow x 5) 2/5)
32.0ms	(* x (* 2/3 x))
27.0ms	(* 2/3 x)

simplify2.1s

Counts

44 → 73

Calls

44 calls:

Slowest

306.0ms	(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
246.0ms	(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x)))
215.0ms	(* (* (* (pow x 5) (pow x 5)) (pow x 5)) (* (* 2/5 2/5) 2/5))
208.0ms	(* (* (* 2/3 2/3) 2/3) (* (* x x) x))
176.0ms	(* (pow x (/ 5 2)) (sqrt 2/5))

prune811.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

6.1b	(log (/ 1 (* (cbrt (- 1 x)) (cbrt (- 1 x)))))
6.0b	(log (/ (+ x 1) (cbrt (- 1 x))))
0.0b	(/ (+ x 1) (cbrt (- 1 x)))
0.0b	(cbrt (- 1 x))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

113×	`*-un-lft-identity`
75×	`add-sqr-sqrt` `times-frac`
60×	`cbrt-prod`
57×	`log-prod`
45×	`add-cube-cbrt`
21×	`add-exp-log`
20×	`difference-of-squares`
19×	`distribute-lft-out`
18×	`cbrt-div`
14×	`pow1`
12×	`associate-/r/` `log-pow`
10×	`distribute-lft-out--`
9×	`associate-/r*` `flip3--` `rem-log-exp` `pow-flip` `flip--`
7×	`pow1/3`
6×	`div-exp`
5×	`add-cbrt-cube`
4×	`frac-times` `insert-posit16` `associate-/l*` `add-log-exp`
3×	`prod-exp` `div-inv`
2×	`log-div` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `pow-plus` `log-rec` `flip-+` `inv-pow`

Counts

4 → 180

Calls

4 calls:

Slowest

33.0ms	(log (/ 1 (* (cbrt (- 1 x)) (cbrt (- 1 x)))))
17.0ms	(/ (+ x 1) (cbrt (- 1 x)))
6.0ms	(log (/ (+ x 1) (cbrt (- 1 x))))
3.0ms	(cbrt (- 1 x))

series280.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

82.0ms	(/ (+ x 1) (cbrt (- 1 x)))
73.0ms	(log (/ (+ x 1) (cbrt (- 1 x))))
65.0ms	(log (/ 1 (* (cbrt (- 1 x)) (cbrt (- 1 x)))))
61.0ms	(cbrt (- 1 x))

simplify10.4s

Counts

185 → 192

Calls

185 calls:

Slowest

544.0ms	(- (+ (log (* -1 (pow (/ -1 x) 1/3))) (* 4/3 (/ 1 x))) (+ (log (/ -1 x)) (* 1/3 (/ 1 (pow x 2)))))
495.0ms	(+ (* 5/9 (/ (exp (* 1/3 (+ (log (/ 1 x)) (log -1)))) x)) (+ (* x (exp (* 1/3 (+ (log (/ 1 x)) (log -1))))) (* 4/3 (exp (* 1/3 (+ (log (/ 1 x)) (log -1)))))))
457.0ms	(log (/ 1 (* (cbrt (- (pow 1 3) (pow x 3))) (cbrt (- 1 x)))))
436.0ms	(log (/ 1 (* (cbrt (- 1 x)) (cbrt (- (pow 1 3) (pow x 3))))))
424.0ms	(log (/ 1 (* (cbrt (- (pow 1 3) (pow x 3))) (cbrt (- (pow 1 3) (pow x 3))))))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

6.1b	(log (/ 1 (* (cbrt (- 1 x)) (cbrt (- 1 x)))))
6.0b	(log (/ (+ x 1) (cbrt (- 1 x))))
6.0b	(log (/ (+ x 1) (cbrt (- 1 x))))
0.0b	(* (sqrt (log (/ (+ x 1) (cbrt (- 1 x))))) (sqrt (log (/ (+ x 1) (cbrt (- 1 x))))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

112×	`*-un-lft-identity`
99×	`log-prod`
86×	`add-sqr-sqrt`
75×	`times-frac`
50×	`add-cube-cbrt`
48×	`cbrt-prod`
36×	`pow1`
26×	`sqrt-prod`
24×	`add-exp-log`
19×	`log-pow`
18×	`distribute-lft-out`
16×	`cbrt-div` `difference-of-squares`
12×	`associate-/r/`
11×	`swap-sqr` `rem-log-exp`
9×	`pow-flip`
8×	`sqrt-pow1` `flip3--` `pow1/2` `flip--` `distribute-lft-out--`
7×	`associate-r` `associate-l` `pow-prod-up`
6×	`add-cbrt-cube` `pow1/3` `div-exp`
5×	`pow-prod-down` `pow-sqr`
4×	`frac-times` `prod-exp` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`log-div` `div-inv`
2×	`pow2` `rec-exp` `pow-plus` `1-exp` `associate-l/` `associate-r/`
1×	`rem-square-sqrt` `sqrt-unprod` `log-rec` `*-commutative` `cbrt-unprod` `inv-pow`

Counts

4 → 206

Calls

4 calls:

Slowest

17.0ms	(log (/ 1 (* (cbrt (- 1 x)) (cbrt (- 1 x)))))
13.0ms	(* (sqrt (log (/ (+ x 1) (cbrt (- 1 x))))) (sqrt (log (/ (+ x 1) (cbrt (- 1 x))))))
11.0ms	(log (/ (+ x 1) (cbrt (- 1 x))))
6.0ms	(log (/ (+ x 1) (cbrt (- 1 x))))

series366.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

101.0ms	(log (/ (+ x 1) (cbrt (- 1 x))))
97.0ms	(* (sqrt (log (/ (+ x 1) (cbrt (- 1 x))))) (sqrt (log (/ (+ x 1) (cbrt (- 1 x))))))
95.0ms	(log (/ (+ x 1) (cbrt (- 1 x))))
73.0ms	(log (/ 1 (* (cbrt (- 1 x)) (cbrt (- 1 x)))))

simplify13.3s

Counts

201 → 218

Calls

201 calls:

Slowest

755.0ms	(- (+ (* 4/3 (/ 1 x)) (* 1/3 (log -1))) (+ (* 2/3 (log (/ 1 x))) (* 1/3 (/ 1 (pow x 2)))))
543.0ms	(- (+ (log (* -1 (pow (/ -1 x) 1/3))) (* 4/3 (/ 1 x))) (+ (log (/ -1 x)) (* 1/3 (/ 1 (pow x 2)))))
482.0ms	(log (/ 1 (* (cbrt (- (pow 1 3) (pow x 3))) (cbrt (- 1 x)))))
449.0ms	(- (+ (log (* -1 (pow (/ -1 x) 1/3))) (* 4/3 (/ 1 x))) (+ (log (/ -1 x)) (* 1/3 (/ 1 (pow x 2)))))
440.0ms	(log (/ 1 (* (cbrt (- 1 x)) (cbrt (- (pow 1 3) (pow x 3))))))

prune1.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes25.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch3.0ms

end0.0ms

sample7.8s

Algorithm

intervals

Results

3.7s	3457×	body	1280	valid
2.1s	2493×	body	640	valid
935.0ms	8123×	body	80	nan
548.0ms	1234×	body	320	valid
158.0ms	619×	body	160	valid
24.0ms	197×	body	80	valid