Details

sample126.0ms

Algorithm

intervals

Results

92.0ms

467×

body

valid

simplify1.9s

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize85.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
1.0b	(sqrt PI)

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

62×	`pow1`
19×	`add-exp-log` `add-cbrt-cube`
18×	`pow-plus` `pow-prod-up`
12×	`add-sqr-sqrt`
9×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow2` `pow-sqr`
4×	`add-log-exp`
3×	`associate-l` `pow3` `sqrt-prod` `*-commutative` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 97

Calls

4 calls:

44.0ms	(* (* (fabs x) (fabs x)) (fabs x))
40.0ms	(* (* (fabs x) (fabs x)) (fabs x))
38.0ms	(* (* (fabs x) (fabs x)) (fabs x))
3.0ms	(sqrt PI)

series122.0ms

Counts

4 → 10

Calls

4 calls:

39.0ms	(* (* (fabs x) (fabs x)) (fabs x))
47.0ms	(* (* (fabs x) (fabs x)) (fabs x))
35.0ms	(* (* (fabs x) (fabs x)) (fabs x))
0.0ms	(sqrt PI)

simplify1.4s

Counts: 107 → 107

prune519.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
1.0b	(sqrt PI)

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
35×	`add-exp-log` `add-cbrt-cube`
18×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
15×	`associate-l`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow-plus` `pow-prod-down` `pow-prod-up`
9×	`times-frac`
7×	`associate-r`
4×	`pow2` `pow-sqr` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `sqrt-prod` `*-commutative`
2×	`pow3` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 107

Calls

4 calls:

85.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
29.0ms	(* (* (fabs x) (fabs x)) (fabs x))
37.0ms	(* (* (fabs x) (fabs x)) (fabs x))
1.0ms	(sqrt PI)

series135.0ms

Counts

4 → 10

Calls

4 calls:

56.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
47.0ms	(* (* (fabs x) (fabs x)) (fabs x))
32.0ms	(* (* (fabs x) (fabs x)) (fabs x))
0.0ms	(sqrt PI)

simplify749.0ms

Counts: 117 → 117

prune646.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize101.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
38.3b	(cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))))
38.3b	(cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))))
38.3b	(cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
5×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-*l/` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 43

Calls

4 calls:

2.0ms	(sqrt PI)
97.0ms	(cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))))
73.0ms	(cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))))
73.0ms	(cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))))

series156.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(sqrt PI)
49.0ms	(cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))))
45.0ms	(cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))))
62.0ms	(cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))))

simplify830.0ms

Counts: 53 → 53

prune552.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.2b	(* (fabs (pow (fabs x) (/ 3 2))) (fabs (pow (fabs x) (/ 3 2))))
1.0b	(sqrt PI)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
13×	`pow-plus` `pow-prod-up`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-r`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`pow2` `associate-l` `pow-sqr`
4×	`add-log-exp`
3×	`swap-sqr` `sqrt-prod` `*-commutative` `unswap-sqr`
2×	`pow3`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 94

Calls

4 calls:

20.0ms	(* (* (fabs x) (fabs x)) (fabs x))
29.0ms	(* (* (fabs x) (fabs x)) (fabs x))
8.0ms	(* (fabs (pow (fabs x) (/ 3 2))) (fabs (pow (fabs x) (/ 3 2))))
10.0ms	(sqrt PI)

series88.0ms

Counts

4 → 10

Calls

4 calls:

27.0ms	(* (* (fabs x) (fabs x)) (fabs x))
36.0ms	(* (* (fabs x) (fabs x)) (fabs x))
24.0ms	(* (fabs (pow (fabs x) (/ 3 2))) (fabs (pow (fabs x) (/ 3 2))))
0.0ms	(sqrt PI)

simplify2.7s

Counts: 104 → 104

prune549.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

regimes336.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify770.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

3.2s

14006×

body

valid