Details

sample212.0ms

Algorithm

intervals

Results

119.0ms	109×	body	1280	valid
39.0ms	75×	body	640	valid
23.0ms	279×	body	80	nan
15.0ms	47×	body	320	valid
4.0ms	19×	body	160	valid
1.0ms	6×	body	80	valid

simplify146.0ms

Calls

1 calls:

Slowest

146.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

88×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
27×	`add-cube-cbrt`
20×	`difference-of-squares`
15×	`log-div` `distribute-lft-out`
12×	`associate-/r*`
10×	`associate-/l*` `distribute-lft-out--`
7×	`add-exp-log`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l/`
3×	`pow1` `clear-num` `log-rec`
2×	`expm1-log1p-u` `frac-2neg` `flip3-+` `flip3--` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`
1×	`cbrt-undiv` `log-pow`

Calls

2 calls:

Slowest

42.0ms	(/ (+ x 1) (- 1 x))
30.0ms	(log (/ (+ x 1) (- 1 x)))

series132.0ms

Calls

2 calls:

Slowest

101.0ms	(log (/ (+ x 1) (- 1 x)))
31.0ms	(/ (+ x 1) (- 1 x))

simplify4.6s

Calls

118 calls:

Slowest

424.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
395.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
340.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
314.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
299.0ms	(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))

prune807.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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`

Calls

1 calls:

Slowest

11.0ms

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

series136.0ms

Calls

1 calls:

Slowest

136.0ms

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

simplify1.4s

Calls

15 calls:

Slowest

730.0ms	(* (* (* x x) x) (* (* (fma 2/3 (* x x) 2) (fma 2/3 (* x x) 2)) (fma 2/3 (* x x) 2)))
174.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
154.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
149.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
36.0ms	(* (sqrt x) (sqrt (fma 2/3 (* x x) 2)))

prune286.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
40×	`associate-l`
39×	`associate-r`
26×	`unswap-sqr`
16×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`swap-sqr` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`*-commutative`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Calls

2 calls:

Slowest

100.0ms	(* (* 2/3 (* x x)) x)
36.0ms	(* 2/3 (* x x))

series102.0ms

Calls

2 calls:

Slowest

71.0ms	(* (* 2/3 (* x x)) x)
31.0ms	(* 2/3 (* x x))

simplify3.2s

Calls

84 calls:

Slowest

807.0ms	(* (* (* (* 2/3 2/3) 2/3) (* (* (* x x) x) (* (* x x) x))) (* (* x x) x))
505.0ms	(* (* (* (* 2/3 (* x x)) (* 2/3 (* x x))) (* 2/3 (* x x))) (* (* x x) x))
264.0ms	(* (* (* 2/3 2/3) 2/3) (* (* (* x x) (* x x)) (* x x)))
229.0ms	(* (* (* 2/3 2/3) 2/3) (* (* (* x x) x) (* (* x x) x)))
147.0ms	(* (* (* (* 2/3 2/3) 2/3) (* (* (* x x) (* x x)) (* x x))) (* (* x x) x))

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

1.5b	(log (exp (* (* 2/3 (* x x)) x)))
0.2b	(* 2/3 (* x x))
0.1b	(* (* 2/3 (* x x)) x)

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt`
74×	`associate-l`
60×	`associate-r`
45×	`unswap-sqr`
44×	`log-pow`
42×	`exp-prod`
27×	`*-un-lft-identity` `add-cube-cbrt`
18×	`pow1` `add-exp-log`
17×	`add-cbrt-cube`
14×	`swap-sqr`
13×	`*-commutative`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`expm1-log1p-u` `log-prod` `insert-posit16` `log1p-expm1-u`
2×	`rem-log-exp`
1×	`exp-to-pow`

Calls

3 calls:

Slowest

131.0ms	(log (exp (* (* 2/3 (* x x)) x)))
95.0ms	(* (* 2/3 (* x x)) x)
37.0ms	(* 2/3 (* x x))

series185.0ms

Calls

3 calls:

Slowest

79.0ms	(* (* 2/3 (* x x)) x)
56.0ms	(log (exp (* (* 2/3 (* x x)) x)))
49.0ms	(* 2/3 (* x x))

simplify5.3s

Calls

132 calls:

Slowest

957.0ms	(* (* (* (* 2/3 2/3) 2/3) (* (* (* x x) x) (* (* x x) x))) (* (* x x) x))
606.0ms	(* (* (* (* 2/3 (* x x)) (* 2/3 (* x x))) (* 2/3 (* x x))) (* (* x x) x))
292.0ms	(log (sqrt (exp (* (* 2/3 (* x x)) x))))
290.0ms	(log (* (cbrt (exp (* (* 2/3 (* x x)) x))) (cbrt (exp (* (* 2/3 (* x x)) x)))))
286.0ms	(* (* (* 2/3 2/3) 2/3) (* (* (* x x) x) (* (* x x) x)))

prune1.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes32.0ms

Accuracy

0% (0.2b remaining)

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

bsearch4.0ms

end0.0ms

sample7.7s

Algorithm

intervals

Results

4.2s	3366×	body	1280	valid
1.6s	2490×	body	640	valid
913.0ms	8028×	body	80	nan
531.0ms	1285×	body	320	valid
166.0ms	658×	body	160	valid
24.0ms	201×	body	80	valid