Details

sample251.0ms

Algorithm

intervals

Results

102.0ms	104×	body	1280	valid
81.0ms	87×	body	640	valid
29.0ms	283×	body	80	nan
13.0ms	32×	body	320	valid
7.0ms	27×	body	160	valid
1.0ms	6×	body	80	valid

simplify509.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

509.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.0b

localize13.0ms

Local error

Found 2 expressions with local error:

7.9b	(log (/ (+ x 1) (- 1 x)))
0.0b	(/ (+ x 1) (- 1 x))

rewrite57.0ms

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

42.0ms	(/ (+ x 1) (- 1 x))
13.0ms	(log (/ (+ x 1) (- 1 x)))

series131.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

99.0ms	(log (/ (+ x 1) (- 1 x)))
32.0ms	(/ (+ x 1) (- 1 x))

simplify4.5s

Counts

101 → 103

Calls

101 calls:

Slowest

573.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
392.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
368.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
364.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
341.0ms	(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))

prune559.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (fma 2/3 (* x x) 2))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
2×	`fma-udef`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

Slowest

6.0ms

(* x (fma 2/3 (* x x) 2))

series113.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

113.0ms

(* x (fma 2/3 (* x x) 2))

simplify1.4s

Counts

15 → 26

Calls

15 calls:

Slowest

705.0ms	(* (* (* x x) x) (* (* (fma 2/3 (* x x) 2) (fma 2/3 (* x x) 2)) (fma 2/3 (* x x) 2)))
166.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
155.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
147.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
44.0ms	(* x (fma 2/3 (* x x) 2))

prune231.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 2 expressions with local error:

0.2b	(* 2/3 (* x x))
0.1b	(* (* 2/3 (* x x)) x)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt`
4×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
2×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 46

Calls

2 calls:

Slowest

48.0ms	(* (* 2/3 (* x x)) x)
15.0ms	(* 2/3 (* x x))

series98.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

58.0ms	(* (* 2/3 (* x x)) x)
40.0ms	(* 2/3 (* x x))

simplify2.6s

Counts

27 → 52

Calls

27 calls:

Slowest

1.0s	(* (* (* (* 2/3 2/3) 2/3) (* (* (* x x) x) (* (* x x) x))) (* (* x x) x))
578.0ms	(* (* (* (* 2/3 (* x x)) (* 2/3 (* x x))) (* 2/3 (* x x))) (* (* x x) x))
250.0ms	(* (* (* 2/3 2/3) 2/3) (* (* (* x x) x) (* (* x x) x)))
190.0ms	(* (* (* 2/3 2/3) 2/3) (* (* (* x x) (* x x)) (* x x)))
123.0ms	(* (* (* (* 2/3 2/3) 2/3) (* (* (* x x) (* x x)) (* x x))) (* (* x x) x))

prune666.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

7.9b	(log (- 1 x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`log-prod`
5×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `log-div` `log1p-def` `add-exp-log` `add-cube-cbrt` `difference-of-squares`
1×	`expm1-log1p-u` `sub-neg` `flip3--` `add-cbrt-cube` `rem-log-exp` `log-pow` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

Slowest

5.0ms

(log (- 1 x))

series31.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

31.0ms

(log (- 1 x))

simplify1.1s

Counts

14 → 25

Calls

14 calls:

Slowest

470.0ms	(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
295.0ms	(- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
142.0ms	(- (+ x (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 2)))))
59.0ms	(log (- (pow 1 3) (pow x 3)))
22.0ms	(log (* (cbrt (- 1 x)) (cbrt (- 1 x))))

prune153.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.2b remaining)

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

bsearch4.0ms

end0.0ms

sample7.3s

Algorithm

intervals

Results

3.5s	3395×	body	1280	valid
1.5s	2496×	body	640	valid
1.3s	8114×	body	80	nan
565.0ms	1234×	body	320	valid
160.0ms	671×	body	160	valid
22.0ms	204×	body	80	valid