Details

sample253.0ms

Algorithm

intervals

Results

141.0ms	120×	body	1280	valid
51.0ms	83×	body	640	valid
26.0ms	263×	body	80	nan
12.0ms	29×	body	320	valid
5.0ms	20×	body	160	valid
1.0ms	4×	body	80	valid

simplify124.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

124.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 97

Calls

2 calls:

Slowest

41.0ms	(/ (+ x 1) (- 1 x))
7.0ms	(log (/ (+ x 1) (- 1 x)))

series143.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

100.0ms	(log (/ (+ x 1) (- 1 x)))
43.0ms	(/ (+ x 1) (- 1 x))

simplify4.7s

Counts

101 → 103

Calls

101 calls:

Slowest

520.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
467.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
462.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
376.0ms	(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))
328.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))

prune841.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

Calls

0 calls:

Slowest

series0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

simplify0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

prune7.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

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))

rewrite88.0ms

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×	`expm1-log1p-u` `frac-times` `insert-posit16` `log1p-expm1-u` `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 → 188

Calls

4 calls:

Slowest

38.0ms	(/ (+ x 1) (cbrt (- 1 x)))
27.0ms	(log (/ 1 (* (cbrt (- 1 x)) (cbrt (- 1 x)))))
12.0ms	(log (/ (+ x 1) (cbrt (- 1 x))))
6.0ms	(cbrt (- 1 x))

series330.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

108.0ms	(log (/ (+ x 1) (cbrt (- 1 x))))
89.0ms	(log (/ 1 (* (cbrt (- 1 x)) (cbrt (- 1 x)))))
87.0ms	(/ (+ x 1) (cbrt (- 1 x)))
46.0ms	(cbrt (- 1 x))

simplify10.5s

Counts

185 → 200

Calls

185 calls:

Slowest

579.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (- 1 x))
486.0ms	(- (+ (log (* -1 (pow (/ -1 x) 1/3))) (* 4/3 (/ 1 x))) (+ (log (/ -1 x)) (* 1/3 (/ 1 (pow x 2)))))
479.0ms	(log (/ 1 (* (cbrt (- (pow 1 3) (pow x 3))) (cbrt (- 1 x)))))
443.0ms	(+ (* 4/3 (pow (/ -1 x) 1/3)) (+ (pow (* (pow x 2) -1) 1/3) (* 5/9 (pow (/ -1 (pow x 4)) 1/3))))
414.0ms	(log (/ 1 (* (cbrt (- (pow 1 3) (pow x 3))) (cbrt (- (* 1 1) (* x x))))))

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

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))))))

rewrite87.0ms

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×	`expm1-log1p-u` `frac-times` `prod-exp` `insert-posit16` `log1p-expm1-u` `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 → 214

Calls

4 calls:

Slowest

30.0ms	(* (sqrt (log (/ (+ x 1) (cbrt (- 1 x))))) (sqrt (log (/ (+ x 1) (cbrt (- 1 x))))))
25.0ms	(log (/ 1 (* (cbrt (- 1 x)) (cbrt (- 1 x)))))
13.0ms	(log (/ (+ x 1) (cbrt (- 1 x))))
11.0ms	(log (/ (+ x 1) (cbrt (- 1 x))))

series420.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

126.0ms	(log (/ (+ x 1) (cbrt (- 1 x))))
112.0ms	(* (sqrt (log (/ (+ x 1) (cbrt (- 1 x))))) (sqrt (log (/ (+ x 1) (cbrt (- 1 x))))))
103.0ms	(log (/ (+ x 1) (cbrt (- 1 x))))
79.0ms	(log (/ 1 (* (cbrt (- 1 x)) (cbrt (- 1 x)))))

simplify13.9s

Counts

201 → 226

Calls

201 calls:

Slowest

505.0ms	(- (+ (log (* -1 (pow (/ -1 x) 1/3))) (* 4/3 (/ 1 x))) (+ (log (/ -1 x)) (* 1/3 (/ 1 (pow x 2)))))
488.0ms	(- (+ (log (* -1 (pow (/ -1 x) 1/3))) (* 4/3 (/ 1 x))) (+ (log (/ -1 x)) (* 1/3 (/ 1 (pow x 2)))))
476.0ms	(- (+ (log (* -1 (pow (/ -1 x) 1/3))) (* 4/3 (/ 1 x))) (+ (log (/ -1 x)) (* 1/3 (/ 1 (pow x 2)))))
457.0ms	(log (/ 1 (* (cbrt (- (pow 1 3) (pow x 3))) (cbrt (- (* 1 1) (* x x))))))
454.0ms	(+ (* 1/3 (/ 1 (pow x 2))) (+ (log (pow (/ 1 x) 2/3)) (* 2/3 (/ 1 x))))

prune2.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes29.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample7.6s

Algorithm

intervals

Results

3.5s	3457×	body	1280	valid
1.5s	2493×	body	640	valid
1.4s	8123×	body	80	nan
637.0ms	1234×	body	320	valid
173.0ms	619×	body	160	valid
22.0ms	197×	body	80	valid