Details

sample17.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify10.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize12.0ms

Local error

Found 2 expressions with local error:

15.5b	(/ x (+ (* x x) 1))
0.0b	(+ (* x x) 1)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r` `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 → 42

Calls

2 calls:

Slowest

10.0ms	(/ x (+ (* x x) 1))
6.0ms	(+ (* x x) 1)

series88.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

45.0ms	(+ (* x x) 1)
42.0ms	(/ x (+ (* x x) 1))

simplify1.6s

Counts: 48 → 48

prune330.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

15.0b	(* x (/ 1 (+ (* x x) 1)))
0.4b	(/ 1 (+ (* x x) 1))
0.0b	(+ (* x x) 1)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `times-frac`
19×	`add-cube-cbrt`
16×	`add-exp-log`
15×	`associate-r`
10×	`add-cbrt-cube`
6×	`pow1`
5×	`add-log-exp`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`associate-/r` `flip3-+` `associate-l` `flip-+` `insert-posit16` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 85

Calls

3 calls:

Slowest

49.0ms	(* x (/ 1 (+ (* x x) 1)))
23.0ms	(/ 1 (+ (* x x) 1))
13.0ms	(+ (* x x) 1)

series172.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

69.0ms	(+ (* x x) 1)
56.0ms	(* x (/ 1 (+ (* x x) 1)))
46.0ms	(/ 1 (+ (* x x) 1))

simplify2.4s

Counts: 94 → 94

prune623.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

21.6b	(* (/ x (+ (* (* x x) (* x x)) -1)) (- (* x x) 1))
1.4b	(/ x (+ (* (* x x) (* x x)) -1))
0.1b	(* (* x x) (* x x))

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

116×	`pow1`
36×	`pow-prod-up`
27×	`add-sqr-sqrt`
25×	`times-frac`
24×	`pow-prod-down`
22×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `pow-sqr`
21×	`add-cube-cbrt`
19×	`associate-l`
18×	`pow-plus`
13×	`pow2`
10×	`prod-exp` `cbrt-unprod`
7×	`difference-of-sqr--1` `associate-r`
4×	`associate-/r*` `associate-/r/`
3×	`insert-posit16` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`distribute-rgt-in` `frac-times` `cbrt-undiv` `sub-neg` `distribute-lft-in` `flip3-+` `flip3--` `div-exp` `associate-r/` `-commutative` `flip-+` `div-inv` `flip--` `difference-of-squares`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `swap-sqr` `associate-*l/`

Counts

3 → 147

Calls

3 calls:

Slowest

158.0ms	(* (/ x (+ (* (* x x) (* x x)) -1)) (- (* x x) 1))
62.0ms	(/ x (+ (* (* x x) (* x x)) -1))
23.0ms	(* (* x x) (* x x))

series322.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

146.0ms	(/ x (+ (* (* x x) (* x x)) -1))
121.0ms	(* (/ x (+ (* (* x x) (* x x)) -1)) (- (* x x) 1))
54.0ms	(* (* x x) (* x x))

simplify2.7s

Counts: 156 → 156

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

20.0b	(- (/ 1 (* (* x x) x)) (/ (/ 1 (* (* x x) (* x x))) x))
0.1b	(* (* x x) (* x x))
0.1b	(/ 1 (* (* x x) x))
0.1b	(/ 1 (* (* x x) (* x x)))

rewrite285.0ms

Algorithm

rewrite-expression-head

Rules

247×	`pow1`
81×	`add-exp-log`
78×	`pow-prod-up`
56×	`pow-flip`
49×	`pow-prod-down`
46×	`pow-sqr`
43×	`add-cbrt-cube`
42×	`pow-plus`
41×	`prod-exp`
28×	`pow2`
19×	`cbrt-unprod`
18×	`add-sqr-sqrt`
16×	`div-exp`
13×	`*-un-lft-identity`
12×	`times-frac`
8×	`cbrt-undiv` `rec-exp` `1-exp` `add-cube-cbrt`
6×	`associate-/l*` `add-log-exp`
4×	`insert-posit16` `div-inv` `difference-of-squares`
2×	`clear-num` `associate-/r*` `frac-2neg` `distribute-lft-out--` `inv-pow`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `swap-sqr` `associate-r` `associate-l` `pow3` `*-commutative` `frac-sub` `flip--` `unswap-sqr`

Counts

4 → 211

Calls

4 calls:

Slowest

116.0ms	(- (/ 1 (* (* x x) x)) (/ (/ 1 (* (* x x) (* x x))) x))
78.0ms	(/ 1 (* (* x x) (* x x)))
47.0ms	(/ 1 (* (* x x) x))
40.0ms	(* (* x x) (* x x))

series305.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

128.0ms	(- (/ 1 (* (* x x) x)) (/ (/ 1 (* (* x x) (* x x))) x))
68.0ms	(/ 1 (* (* x x) x))
60.0ms	(* (* x x) (* x x))
50.0ms	(/ 1 (* (* x x) (* x x)))

simplify1.7s

Counts: 223 → 223

prune1.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.0b

bsearch90.0ms

end0.0ms

sample646.0ms

Algorithm

intervals

Results

511.0ms

8000×

body

valid