Details

sample243.0ms

Algorithm

intervals

Results

127.0ms	109×	body	1280	valid
49.0ms	83×	body	640	valid
27.0ms	251×	body	80	nan
16.0ms	41×	body	320	valid
4.0ms	15×	body	160	valid
1.0ms	8×	body	80	valid

simplify110.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

109.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize22.0ms

Local error

Found 2 expressions with local error:

5.0b	(log (/ (+ x 1) (- 1 x)))
0.0b	(/ (+ x 1) (- 1 x))

rewrite29.0ms

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

21.0ms	(/ (+ x 1) (- 1 x))
6.0ms	(log (/ (+ x 1) (- 1 x)))

series120.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

83.0ms	(log (/ (+ x 1) (- 1 x)))
37.0ms	(/ (+ x 1) (- 1 x))

simplify4.5s

Counts

101 → 99

Calls

101 calls:

Slowest

463.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
426.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
420.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
290.0ms	(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))
255.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))

prune880.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

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))

rewrite115.0ms

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

73.0ms	(* x (+ (* x (* 2/3 x)) 2))
22.0ms	(* x (* 2/3 x))
10.0ms	(* 2/3 x)
8.0ms	(* (pow x 5) 2/5)

series278.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

139.0ms	(* x (+ (* x (* 2/3 x)) 2))
75.0ms	(* (pow x 5) 2/5)
36.0ms	(* x (* 2/3 x))
27.0ms	(* 2/3 x)

simplify3.2s

Counts

61 → 99

Calls

61 calls:

Slowest

339.0ms	(+ (* (* x (* 2/3 x)) (* x (* 2/3 x))) (- (* 2 2) (* (* x (* 2/3 x)) 2)))
311.0ms	(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
251.0ms	(* (* (* x x) x) (* (* (+ (* x (* 2/3 x)) 2) (+ (* x (* 2/3 x)) 2)) (+ (* x (* 2/3 x)) 2)))
210.0ms	(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x)))
203.0ms	(* (* (* (pow x 5) (pow x 5)) (pow x 5)) (* (* 2/5 2/5) 2/5))

prune994.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

Slowest

34.0ms	(* x (* x (* 2/3 x)))
32.0ms	(* x (* 2/3 x))
13.0ms	(* (pow x 5) 2/5)
10.0ms	(* 2/3 x)

series175.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

63.0ms	(* (pow x 5) 2/5)
58.0ms	(* x (* x (* 2/3 x)))
27.0ms	(* x (* 2/3 x))
26.0ms	(* 2/3 x)

simplify3.8s

Counts

59 → 98

Calls

59 calls:

Slowest

702.0ms	(* (* (* x x) x) (* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x))))
585.0ms	(* (* (* x x) x) (* (* (* x (* 2/3 x)) (* x (* 2/3 x))) (* x (* 2/3 x))))
520.0ms	(* (* (* x x) x) (* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x))))
187.0ms	(* (* (* (pow x 5) (pow x 5)) (pow x 5)) (* (* 2/5 2/5) 2/5))
180.0ms	(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))

prune976.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

5.0b	(log (+ x 1))
4.8b	(log (- 1 x))
0.0b	(- (log (+ x 1)) (log (- 1 x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`log-prod`
15×	`add-sqr-sqrt`
9×	`pow1`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`log-pow` `associate--r+` `distribute-lft-out--`
5×	`add-exp-log` `difference-of-squares`
4×	`associate--l+`
3×	`flip3--` `add-cbrt-cube` `insert-posit16` `flip--` `add-log-exp`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 66

Calls

3 calls:

Slowest

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

series192.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

130.0ms	(- (log (+ x 1)) (log (- 1 x)))
32.0ms	(log (+ x 1))
30.0ms	(log (- 1 x))

simplify3.6s

Counts

46 → 75

Calls

46 calls:

Slowest

449.0ms	(- (+ (* 2/3 (/ 1 (pow x 3))) (* 2 (/ 1 x))) (log -1))
414.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
388.0ms	(log (- (* x x) (* 1 1)))
379.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
355.0ms	(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))

prune469.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes29.0ms

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

3.5s	3390×	body	1280	valid
1.6s	2587×	body	640	valid
1.3s	7971×	body	80	nan
523.0ms	1227×	body	320	valid
150.0ms	603×	body	160	valid
54.0ms	193×	body	80	valid