Details

sample237.0ms

Algorithm

intervals

Results

114.0ms	98×	body	1280	valid
51.0ms	83×	body	640	valid
29.0ms	268×	body	80	nan
19.0ms	42×	body	320	valid
7.0ms	22×	body	160	valid
2.0ms	11×	body	80	valid

simplify124.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

124.0ms

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.4b

localize25.0ms

Local error

Found 2 expressions with local error:

5.9b	(log (/ (+ x 1) (- 1 x)))
0.0b	(/ (+ x 1) (- 1 x))

rewrite32.0ms

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

18.0ms	(/ (+ x 1) (- 1 x))
12.0ms	(log (/ (+ x 1) (- 1 x)))

series137.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

113.0ms	(log (/ (+ x 1) (- 1 x)))
24.0ms	(/ (+ x 1) (- 1 x))

simplify4.7s

Counts

101 → 103

Calls

101 calls:

Slowest

477.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
385.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
374.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
362.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
353.0ms	(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))

prune622.0ms

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)))

rewrite6.0ms

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`

Counts

2 → 34

Calls

2 calls:

Slowest

6.0ms	(* x (fma 2/3 (* x x) 2))
0.0ms	(fma 2/5 (pow x 5) (* x (fma 2/3 (* x x) 2)))

series206.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

133.0ms	(* x (fma 2/3 (* x x) 2))
73.0ms	(fma 2/5 (pow x 5) (* x (fma 2/3 (* x x) 2)))

simplify2.6s

Counts

18 → 40

Calls

18 calls:

Slowest

880.0ms	(* (* (* x x) x) (* (* (fma 2/3 (* x x) 2) (fma 2/3 (* x x) 2)) (fma 2/3 (* x x) 2)))
366.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
347.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
305.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
184.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))

prune431.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 2/3 (* x x))
0.1b	(* x (* 2/3 (* x x)))
0.0b	(fma 2/5 (pow x 5) (+ (* x (* 2/3 (* x x))) (* x 2)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

Slowest

42.0ms	(* x (* 2/3 (* x x)))
28.0ms	(* 2/3 (* x x))
0.0ms	(fma 2/5 (pow x 5) (+ (* x (* 2/3 (* x x))) (* x 2)))

series220.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

101.0ms	(fma 2/5 (pow x 5) (+ (* x (* 2/3 (* x x))) (* x 2)))
71.0ms	(* x (* 2/3 (* x x)))
48.0ms	(* 2/3 (* x x))

simplify3.5s

Counts

31 → 66

Calls

31 calls:

Slowest

581.0ms	(* (* (* x x) x) (* (* (* 2/3 (* x x)) (* 2/3 (* x x))) (* 2/3 (* x x))))
501.0ms	(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* (* x x) (* x x)) (* x x))))
421.0ms	(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* (* x x) x) (* (* x x) x))))
363.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
321.0ms	(* (* (* 2/3 2/3) 2/3) (* (* (* x x) (* x x)) (* x x)))

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

6.0b	(log (- 1 x))
0.0b	(- (log1p x) (log (- 1 x)))

rewrite22.0ms

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`

Counts

2 → 64

Calls

2 calls:

Slowest

12.0ms	(- (log1p x) (log (- 1 x)))
9.0ms	(log (- 1 x))

series206.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

183.0ms	(- (log1p x) (log (- 1 x)))
23.0ms	(log (- 1 x))

simplify4.5s

Counts

57 → 70

Calls

57 calls:

Slowest

453.0ms	(- (+ (* 2/3 (/ 1 (pow x 3))) (* 2 (/ 1 x))) (log -1))
417.0ms	(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
373.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
353.0ms	(- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
303.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))

prune559.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample7.9s

Algorithm

intervals

Results

4.1s	3427×	body	1280	valid
1.7s	2458×	body	640	valid
995.0ms	8098×	body	80	nan
613.0ms	1263×	body	320	valid
204.0ms	641×	body	160	valid
26.0ms	211×	body	80	valid