Details

sample21.0ms

Algorithm

intervals

Results

12.0ms

361×

body

valid

simplify22.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (- (* x x) 3.0) 6.0)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`times-frac`
10×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-/l*` `difference-of-squares`
3×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

22.0ms

(/ (- (* x x) 3.0) 6.0)

series108.0ms

Counts

1 → 3

Calls

1 calls:

108.0ms

(/ (- (* x x) 3.0) 6.0)

simplify828.0ms

Counts: 37 → 37

prune102.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 0.16666666666666666 (pow x 2))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

13.0ms

(* 0.16666666666666666 (pow x 2))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* 0.16666666666666666 (pow x 2))

simplify1.2s

Counts: 30 → 30

prune48.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 6.0 (- (* x x) 3.0))
0.1b	(/ 1 (/ 6.0 (- (* x x) 3.0)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
78×	`add-sqr-sqrt`
62×	`add-cube-cbrt` `*-un-lft-identity`
22×	`associate-/r*`
16×	`difference-of-squares`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 129

Calls

2 calls:

29.0ms	(/ 6.0 (- (* x x) 3.0))
27.0ms	(/ 1 (/ 6.0 (- (* x x) 3.0)))

series169.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ 6.0 (- (* x x) 3.0))
100.0ms	(/ 1 (/ 6.0 (- (* x x) 3.0)))

simplify979.0ms

Counts: 135 → 135

prune301.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt 0.16666666666666666) (sqrt (pow x 2)))
0.4b	(* (* (sqrt 0.16666666666666666) (sqrt (pow x 2))) (* (sqrt 0.16666666666666666) (sqrt (pow x 2))))
20.4b	(sqrt (pow x 2))
20.4b	(sqrt (pow x 2))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
40×	`sqrt-prod`
33×	`add-sqr-sqrt`
26×	`pow-prod-down`
18×	`add-exp-log` `add-cbrt-cube`
16×	`pow1/2`
13×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
12×	`associate-r`
10×	`unswap-sqr`
9×	`prod-exp` `cbrt-unprod`
8×	`rem-sqrt-square`
7×	`associate-l` `unpow2` `sqr-pow`
6×	`sqrt-unprod`
5×	`pow-sqr` `pow-prod-up`
4×	`add-log-exp`
2×	`sqrt-pow1` `pow-plus` `*-commutative`
1×	`pow2` `swap-sqr` `rem-square-sqrt`

Counts

4 → 121

Calls

4 calls:

21.0ms	(* (sqrt 0.16666666666666666) (sqrt (pow x 2)))
98.0ms	(* (* (sqrt 0.16666666666666666) (sqrt (pow x 2))) (* (sqrt 0.16666666666666666) (sqrt (pow x 2))))
4.0ms	(sqrt (pow x 2))
7.0ms	(sqrt (pow x 2))

series192.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (sqrt 0.16666666666666666) (sqrt (pow x 2)))
128.0ms	(* (* (sqrt 0.16666666666666666) (sqrt (pow x 2))) (* (sqrt 0.16666666666666666) (sqrt (pow x 2))))
9.0ms	(sqrt (pow x 2))
10.0ms	(sqrt (pow x 2))

simplify623.0ms

Counts: 133 → 133

prune389.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.6s

end0.0ms

sample629.0ms

Algorithm

intervals

Results

378.0ms

10730×

body

valid