Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify14.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (+ x 1.0) (- 1.0 x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

39.0ms

(/ (+ x 1.0) (- 1.0 x))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(/ (+ x 1.0) (- 1.0 x))

simplify721.0ms

Counts: 48 → 48

prune103.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 1.0 x))))
0.0b	(cbrt (/ (+ x 1.0) (- 1.0 x)))
0.0b	(cbrt (/ (+ x 1.0) (- 1.0 x)))
0.0b	(cbrt (/ (+ x 1.0) (- 1.0 x)))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

117×	`*-un-lft-identity`
106×	`cbrt-prod`
81×	`add-sqr-sqrt` `times-frac`
45×	`add-cube-cbrt`
29×	`associate-r`
23×	`pow1`
20×	`distribute-lft-out`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`cbrt-div`
12×	`pow1/3`
9×	`add-exp-log` `pow-prod-up`
8×	`associate-/r/`
6×	`pow-plus`
5×	`frac-times` `pow-prod-down` `associate-*l/` `add-cbrt-cube`
4×	`flip3--` `flip--` `div-inv` `add-log-exp`
3×	`associate-*r/` `prod-exp` `pow-sqr` `cbrt-unprod` `unswap-sqr`
2×	`pow2`
1×	`associate-l` `pow3` `*-commutative`

Counts

4 → 171

Calls

4 calls:

223.0ms	(* (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 1.0 x))))
15.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
18.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
10.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))

series651.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 1.0 x))))
199.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
201.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
195.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))

simplify710.0ms

Counts: 183 → 183

prune661.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- 1.0 x))
0.1b	(* (+ x 1.0) (/ 1 (- 1.0 x)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-r`
15×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/r*`
4×	`div-exp` `associate-l` `prod-exp` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `flip3--` `flip3-+` `1-exp` `associate-*l/` `flip--` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `distribute-lft-out` `inv-pow`

Counts

2 → 90

Calls

2 calls:

16.0ms	(/ 1 (- 1.0 x))
91.0ms	(* (+ x 1.0) (/ 1 (- 1.0 x)))

series75.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ 1 (- 1.0 x))
51.0ms	(* (+ x 1.0) (/ 1 (- 1.0 x)))

simplify781.0ms

Counts: 96 → 96

prune217.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x 1.0) (- 1.0 x))
13.7b	(/ (- (* x x) (* 1.0 1.0)) (* (- x 1.0) (- 1.0 x)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

13×	`flip3--` `flip--`
12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
6×	`add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`pow1` `times-frac` `associate-r/` `associate-l/` `associate-/l*` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `add-log-exp`
1×	`frac-2neg` `div-sub` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

2 → 68

Calls

2 calls:

59.0ms	(* (- x 1.0) (- 1.0 x))
40.0ms	(/ (- (* x x) (* 1.0 1.0)) (* (- x 1.0) (- 1.0 x)))

series141.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* (- x 1.0) (- 1.0 x))
92.0ms	(/ (- (* x x) (* 1.0 1.0)) (* (- x 1.0) (- 1.0 x)))

simplify942.0ms

Counts: 74 → 74

prune290.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

94% (0.0b remaining)

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

bsearch0.0ms

simplify2.3s

end0.0ms

sample522.0ms

Algorithm

intervals

Results

327.0ms

8000×

body

valid