Details

sample204.0ms

Algorithm

intervals

Results

107.0ms	116×	body	1280	valid
40.0ms	75×	body	640	valid
23.0ms	272×	body	80	nan
13.0ms	37×	body	320	valid
6.0ms	24×	body	160	valid
0.0ms	4×	body	80	valid

simplify268.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize13.0ms

Local error

Found 2 expressions with local error:

6.5b	(log (/ (+ x 1) (- 1 x)))
0.0b	(/ (+ x 1) (- 1 x))

rewrite29.0ms

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

21.0ms	(/ (+ x 1) (- 1 x))
6.0ms	(log (/ (+ x 1) (- 1 x)))

series123.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

85.0ms	(log (/ (+ x 1) (- 1 x)))
38.0ms	(/ (+ x 1) (- 1 x))

simplify1.1s

Counts: 103 → 103

prune703.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.4b	(* 2/3 x)
0.1b	(* (* 2/3 x) x)
0.0b	(fma 2/5 (pow x 5) (* x (+ (* (* 2/3 x) x) 2)))
0.0b	(* x (+ (* (* 2/3 x) x) 2))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

Slowest

83.0ms	(* x (+ (* (* 2/3 x) x) 2))
25.0ms	(* (* 2/3 x) x)
9.0ms	(* 2/3 x)
0.0ms	(fma 2/5 (pow x 5) (* x (+ (* (* 2/3 x) x) 2)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

119.0ms	(* x (+ (* (* 2/3 x) x) 2))
91.0ms	(fma 2/5 (pow x 5) (* x (+ (* (* 2/3 x) x) 2)))
55.0ms	(* (* 2/3 x) x)
19.0ms	(* 2/3 x)

simplify1.7s

Counts: 90 → 90

prune887.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.4b	(* 2/3 x)
0.1b	(* (* 2/3 x) x)
0.1b	(* x (* (* 2/3 x) x))
0.0b	(+ (* x (* (* 2/3 x) x)) (* x 2))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

Slowest

74.0ms	(+ (* x (* (* 2/3 x) x)) (* x 2))
69.0ms	(* x (* (* 2/3 x) x))
25.0ms	(* (* 2/3 x) x)
10.0ms	(* 2/3 x)

series246.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

119.0ms	(+ (* x (* (* 2/3 x) x)) (* x 2))
51.0ms	(* (* 2/3 x) x)
48.0ms	(* x (* (* 2/3 x) x))
28.0ms	(* 2/3 x)

simplify1.6s

Counts: 94 → 94

prune998.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

6.5b	(log (log (exp (/ (+ x 1) (- 1 x)))))
0.0b	(/ (+ x 1) (- 1 x))
0.0b	(log (exp (/ (+ x 1) (- 1 x))))
0.0b	(exp (/ (+ x 1) (- 1 x)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity`
102×	`add-sqr-sqrt`
96×	`times-frac`
90×	`exp-prod`
63×	`log-pow`
51×	`add-cube-cbrt`
37×	`log-prod`
34×	`difference-of-squares`
25×	`distribute-lft-out`
17×	`distribute-lft-out--`
8×	`associate-/r/`
7×	`pow1` `add-exp-log`
6×	`associate-/r*` `add-cbrt-cube`
5×	`add-log-exp`
4×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `associate-/l*`
2×	`rem-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `rem-exp-log`

Counts

4 → 185

Calls

4 calls:

Slowest

41.0ms	(exp (/ (+ x 1) (- 1 x)))
33.0ms	(log (exp (/ (+ x 1) (- 1 x))))
29.0ms	(log (log (exp (/ (+ x 1) (- 1 x)))))
18.0ms	(/ (+ x 1) (- 1 x))

series237.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

96.0ms	(log (log (exp (/ (+ x 1) (- 1 x)))))
63.0ms	(exp (/ (+ x 1) (- 1 x)))
44.0ms	(log (exp (/ (+ x 1) (- 1 x))))
35.0ms	(/ (+ x 1) (- 1 x))

simplify1.2s

Counts: 197 → 197

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.2b remaining)

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

bsearch4.0ms

end0.0ms

sample7.8s

Algorithm

intervals

Results

4.0s	3396×	body	1280	valid
1.7s	2501×	body	640	valid
1.0s	8078×	body	80	nan
539.0ms	1231×	body	320	valid
170.0ms	665×	body	160	valid
48.0ms	207×	body	80	valid