Details

sample60.0ms

Algorithm

intervals

Results

24.0ms	65×	body	640	valid
12.0ms	136×	body	80	valid
10.0ms	37×	body	320	valid
3.0ms	18×	body	160	valid

simplify38.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

38.0ms

(- (/ 1 (+ x 1)) (/ 1 x))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize11.0ms

Local error

Found 2 expressions with local error:

2.0b	(- (/ 1 (+ x 1)) (/ 1 x))
0.0b	(/ 1 (+ x 1))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
39×	`add-sqr-sqrt`
36×	`times-frac`
15×	`add-cube-cbrt`
10×	`distribute-lft-out--`
9×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`add-exp-log`
5×	`div-inv`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/l*`
2×	`div-exp` `associate-/r/` `insert-posit16`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `1-exp` `frac-sub` `flip-+` `pow-flip` `flip--` `inv-pow`

Counts

2 → 71

Calls

2 calls:

Slowest

37.0ms	(- (/ 1 (+ x 1)) (/ 1 x))
11.0ms	(/ 1 (+ x 1))

series50.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

37.0ms	(- (/ 1 (+ x 1)) (/ 1 x))
14.0ms	(/ 1 (+ x 1))

simplify3.4s

Counts

79 → 77

Calls

79 calls:

Slowest

487.0ms	(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
449.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
375.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
312.0ms	(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))
271.0ms	(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))

prune540.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.9b

localize16.0ms

Local error

Found 2 expressions with local error:

0.9b	(/ -1 (+ (* x x) x))
0.0b	(+ (* x x) x)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
15×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`associate-/r*` `distribute-lft1-in` `distribute-rgt-out`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 52

Calls

2 calls:

Slowest

19.0ms	(/ -1 (+ (* x x) x))
13.0ms	(+ (* x x) x)

series94.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

59.0ms	(+ (* x x) x)
35.0ms	(/ -1 (+ (* x x) x))

simplify2.5s

Counts

49 → 58

Calls

49 calls:

Slowest

451.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
432.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
374.0ms	(+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))
163.0ms	(/ (* (* -1 -1) -1) (* (* (+ (* x x) x) (+ (* x x) x)) (+ (* x x) x)))
110.0ms	(* (exp (* x x)) (exp x))

prune337.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (/ -1 (+ x 1)) x)
0.0b	(/ -1 (+ x 1))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`associate-/l*`
16×	`distribute-lft-out`
10×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/r*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 125

Calls

2 calls:

Slowest

15.0ms	(/ -1 (+ x 1))
14.0ms	(/ (/ -1 (+ x 1)) x)

series42.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

26.0ms	(/ (/ -1 (+ x 1)) x)
16.0ms	(/ -1 (+ x 1))

simplify9.6s

Counts

170 → 131

Calls

170 calls:

Slowest

468.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
440.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
407.0ms	(/ (* (* (/ -1 (+ x 1)) (/ -1 (+ x 1))) (/ -1 (+ x 1))) (* (* x x) x))
385.0ms	(/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt x) (cbrt x)))
382.0ms	(- (/ 1 (pow x 2)) (+ (/ 1 (pow x 3)) (/ 1 x)))

prune836.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1))
0.3b	(cbrt (+ x 1))
0.3b	(cbrt (+ x 1))
0.3b	(* (cbrt (+ x 1)) (cbrt (+ x 1)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

Slowest

44.0ms	(* (cbrt (+ x 1)) (cbrt (+ x 1)))
7.0ms	(cbrt (+ x 1))
3.0ms	(cbrt (+ x 1))
2.0ms	(cbrt (+ x 1))

series195.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

62.0ms	(cbrt (+ x 1))
49.0ms	(* (cbrt (+ x 1)) (cbrt (+ x 1)))
44.0ms	(cbrt (+ x 1))
40.0ms	(cbrt (+ x 1))

simplify4.5s

Counts

94 → 111

Calls

94 calls:

Slowest

270.0ms	(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))
242.0ms	(* (cbrt (+ (pow x 3) (pow 1 3))) (cbrt (- (* x x) (* 1 1))))
230.0ms	(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))
230.0ms	(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))
226.0ms	(- (+ (* 2/3 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch2.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

592.0ms	1943×	body	640	valid
419.0ms	4203×	body	80	valid
347.0ms	1229×	body	320	valid
89.0ms	626×	body	160	valid