Details

sample211.0ms

Algorithm

intervals

Results

103.0ms	108×	body	1280	valid
46.0ms	88×	body	640	valid
24.0ms	34×	body	320	valid
20.0ms	228×	body	80	nan
4.0ms	19×	body	160	valid
1.0ms	7×	body	80	valid

simplify144.0ms

Calls

1 calls:

Slowest

144.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize26.0ms

Local error

Found 2 expressions with local error:

5.7b	(log (/ (+ x 1) (- 1 x)))
0.0b	(/ (+ x 1) (- 1 x))

rewrite59.0ms

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-+`

Calls

2 calls:

Slowest

43.0ms	(/ (+ x 1) (- 1 x))
12.0ms	(log (/ (+ x 1) (- 1 x)))

series109.0ms

Calls

2 calls:

Slowest

87.0ms	(log (/ (+ x 1) (- 1 x)))
22.0ms	(/ (+ x 1) (- 1 x))

simplify4.3s

Calls

101 calls:

Slowest

466.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
372.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
343.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
300.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
283.0ms	(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))

prune607.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (fma 2/3 (* x x) 2))
0.0b	(fma 2/5 (pow x 5) (* x (fma 2/3 (* x x) 2)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

9.0ms	(* x (fma 2/3 (* x x) 2))
0.0ms	(fma 2/5 (pow x 5) (* x (fma 2/3 (* x x) 2)))

series200.0ms

Calls

2 calls:

Slowest

102.0ms	(* x (fma 2/3 (* x x) 2))
98.0ms	(fma 2/5 (pow x 5) (* x (fma 2/3 (* x x) 2)))

simplify2.6s

Calls

18 calls:

Slowest

837.0ms	(* (* (* x x) x) (* (* (fma 2/3 (* x x) 2) (fma 2/3 (* x x) 2)) (fma 2/3 (* x x) 2)))
359.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
333.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
329.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
180.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))

prune393.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 2/3 (* x x))
0.1b	(* (* 2/3 (* x x)) x)
0.0b	(fma 2/5 (pow x 5) (+ (* (* 2/3 (* x x)) x) (* 2 x)))
0.0b	(+ (* (* 2/3 (* x x)) x) (* 2 x))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u`
2×	`*-commutative`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `distribute-rgt-out` `flip-+` `fma-udef` `unswap-sqr`

Calls

4 calls:

Slowest

49.0ms	(+ (* (* 2/3 (* x x)) x) (* 2 x))
44.0ms	(* (* 2/3 (* x x)) x)
23.0ms	(* 2/3 (* x x))
0.0ms	(fma 2/5 (pow x 5) (+ (* (* 2/3 (* x x)) x) (* 2 x)))

series318.0ms

Calls

4 calls:

Slowest

144.0ms	(+ (* (* 2/3 (* x x)) x) (* 2 x))
77.0ms	(fma 2/5 (pow x 5) (+ (* (* 2/3 (* x x)) x) (* 2 x)))
57.0ms	(* (* 2/3 (* x x)) x)
39.0ms	(* 2/3 (* x x))

simplify4.5s

Calls

36 calls:

Slowest

890.0ms	(* (* (* (* 2/3 2/3) 2/3) (* (* (* x x) x) (* (* x x) x))) (* (* x x) x))
616.0ms	(* (* (* (* 2/3 (* x x)) (* 2/3 (* x x))) (* 2/3 (* x x))) (* (* x x) x))
406.0ms	(* (exp (* (* 2/3 (* x x)) x)) (exp (* 2 x)))
347.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
329.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))

prune937.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

5.8b	(log (- 1 x))
0.0b	(- (log1p x) (log (- 1 x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
12×	`log-prod` `prod-diff` `add-cube-cbrt`
7×	`pow1`
6×	`associate--r+`
5×	`log-pow` `difference-of-squares`
4×	`log-div` `distribute-lft-out--`
3×	`flip3--` `fma-neg` `add-exp-log` `flip--` `add-log-exp`
2×	`expm1-log1p-u` `sub-neg` `log1p-def` `add-cbrt-cube` `diff-log` `insert-posit16` `log1p-expm1-u` `associate--r-`
1×	`log1p-udef` `rem-log-exp`

Calls

2 calls:

Slowest

11.0ms	(- (log1p x) (log (- 1 x)))
4.0ms	(log (- 1 x))

series162.0ms

Calls

2 calls:

Slowest

132.0ms	(- (log1p x) (log (- 1 x)))
30.0ms	(log (- 1 x))

simplify4.6s

Calls

57 calls:

Slowest

426.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
423.0ms	(- (+ (* 2/3 (/ 1 (pow x 3))) (* 2 (/ 1 x))) (log -1))
395.0ms	(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
350.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
295.0ms	(- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))

prune561.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample8.0s

Algorithm

intervals

Results

3.9s	3338×	body	1280	valid
2.2s	2519×	body	640	valid
897.0ms	8151×	body	80	nan
554.0ms	1272×	body	320	valid
195.0ms	660×	body	160	valid
58.0ms	211×	body	80	valid