Details

sample266.0ms

Algorithm

intervals

Results

137.0ms	120×	body	1280	valid
50.0ms	72×	body	640	valid
29.0ms	257×	body	80	nan
18.0ms	25×	body	160	valid
15.0ms	35×	body	320	valid
0.0ms	4×	body	80	valid

simplify102.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

102.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize23.0ms

Local error

Found 2 expressions with local error:

6.7b	(log (/ (+ x 1) (- 1 x)))
0.0b	(/ (+ x 1) (- 1 x))

rewrite28.0ms

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

20.0ms	(/ (+ x 1) (- 1 x))
6.0ms	(log (/ (+ x 1) (- 1 x)))

series109.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

76.0ms	(log (/ (+ x 1) (- 1 x)))
33.0ms	(/ (+ x 1) (- 1 x))

simplify4.2s

Counts

101 → 99

Calls

101 calls:

Slowest

448.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
391.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
324.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
285.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
265.0ms	(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))

prune983.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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))

rewrite94.0ms

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-+`

Counts

4 → 87

Calls

4 calls:

Slowest

57.0ms	(* x (+ (* x (* 2/3 x)) 2))
23.0ms	(* x (* 2/3 x))
8.0ms	(* (pow x 5) 2/5)
5.0ms	(* 2/3 x)

series311.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

143.0ms	(* x (+ (* x (* 2/3 x)) 2))
93.0ms	(* (pow x 5) 2/5)
48.0ms	(* x (* 2/3 x))
27.0ms	(* 2/3 x)

simplify3.4s

Counts

61 → 99

Calls

61 calls:

Slowest

621.0ms	(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x)))
298.0ms	(+ (* (* x (* 2/3 x)) (* x (* 2/3 x))) (- (* 2 2) (* (* x (* 2/3 x)) 2)))
275.0ms	(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
267.0ms	(* (* (* x x) x) (* (* (+ (* x (* 2/3 x)) 2) (+ (* x (* 2/3 x)) 2)) (+ (* x (* 2/3 x)) 2)))
185.0ms	(* (* (* 2/3 2/3) 2/3) (* (* x x) x))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.9b	(log (exp (* (pow x 5) 2/5)))
0.3b	(* 2/3 x)
0.1b	(* x (* 2/3 x))
0.1b	(* (pow x 5) 2/5)

rewrite60.0ms

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`

Counts

4 → 79

Calls

4 calls:

Slowest

24.0ms	(* x (* 2/3 x))
16.0ms	(* (pow x 5) 2/5)
10.0ms	(* 2/3 x)
7.0ms	(log (exp (* (pow x 5) 2/5)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

84.0ms	(* (pow x 5) 2/5)
58.0ms	(log (exp (* (pow x 5) 2/5)))
27.0ms	(* x (* 2/3 x))
16.0ms	(* 2/3 x)

simplify2.4s

Counts

51 → 91

Calls

51 calls:

Slowest

269.0ms	(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
247.0ms	(* (* (* 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))
213.0ms	(log (* (cbrt (exp (* (pow x 5) 2/5))) (cbrt (exp (* (pow x 5) 2/5)))))
196.0ms	(log (sqrt (exp (* (pow x 5) 2/5))))

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch8.0ms

end0.0ms

sample7.8s

Algorithm

intervals

Results

4.1s	3398×	body	1280	valid
1.7s	2539×	body	640	valid
949.0ms	7749×	body	80	nan
546.0ms	1242×	body	320	valid
167.0ms	641×	body	160	valid
22.0ms	180×	body	80	valid