Details

sample170.0ms

Algorithm

intervals

Results

139.0ms

475×

body

valid

simplify1.6s

Counts: 1 → 1

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize108.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
35×	`add-cbrt-cube` `add-exp-log`
18×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
15×	`associate-l`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow-plus` `pow-prod-down` `pow-prod-up`
9×	`times-frac`
7×	`associate-r`
4×	`pow2` `pow-sqr` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative` `sqrt-prod`
2×	`pow3` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 111

Calls

4 calls:

Slowest

63.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
15.0ms	(* (* (fabs x) (fabs x)) (fabs x))
15.0ms	(* (* (fabs x) (fabs x)) (fabs x))
1.0ms	(sqrt PI)

series143.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

63.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
42.0ms	(* (* (fabs x) (fabs x)) (fabs x))
38.0ms	(* (* (fabs x) (fabs x)) (fabs x))
0.0ms	(sqrt PI)

simplify2.5s

Counts: 121 → 121

prune2.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize106.0ms

Local error

Found 4 expressions with local error:

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

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

78×	`pow1`
46×	`pow-prod-up`
39×	`add-cbrt-cube` `add-exp-log`
21×	`sqrt-pow1` `pow1/2` `prod-exp` `cbrt-unprod`
19×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
15×	`associate-l` `pow-prod-down`
13×	`associate-r`
10×	`sqrt-prod`
9×	`times-frac`
6×	`pow2` `pow-plus` `pow-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative`
2×	`unswap-sqr`
1×	`rem-sqrt-square` `associate-*l/` `div-inv`

Counts

4 → 126

Calls

4 calls:

Slowest

87.0ms	(* (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x)))
66.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
34.0ms	(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
2.0ms	(sqrt PI)

series172.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

69.0ms	(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
59.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
43.0ms	(* (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x)))
0.0ms	(sqrt PI)

simplify752.0ms

Counts: 136 → 136

prune2.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize114.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
0.2b	(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
0.2b	(* (fabs x) (sqrt (fabs x)))
0.2b	(* (fabs x) (sqrt (fabs x)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

78×	`pow1`
29×	`pow-prod-up`
28×	`add-sqr-sqrt`
22×	`pow-prod-down`
20×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r`
11×	`*-un-lft-identity` `sqrt-pow1` `pow1/2` `add-cube-cbrt` `sqrt-prod`
10×	`prod-exp` `cbrt-unprod`
8×	`pow3`
7×	`associate-l` `pow-sqr`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow-plus`
1×	`pow2` `rem-sqrt-square` `swap-sqr`

Counts

4 → 112

Calls

4 calls:

Slowest

52.0ms	(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
11.0ms	(* (fabs x) (sqrt (fabs x)))
8.0ms	(* (fabs x) (sqrt (fabs x)))
1.0ms	(sqrt PI)

series137.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

56.0ms	(* (fabs x) (sqrt (fabs x)))
46.0ms	(* (fabs x) (sqrt (fabs x)))
35.0ms	(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
0.0ms	(sqrt PI)

simplify852.0ms

Counts: 122 → 122

prune2.9s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
0.4b	(* (fabs x) 1/21)
0.3b	(/ (fabs x) (sqrt PI))
0.2b	(* (* (fabs x) (fabs x)) (+ (* (fabs x) (* (fabs x) 1/21)) 1/5))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
15×	`sqrt-prod`
13×	`add-cbrt-cube` `add-exp-log`
12×	`pow1`
6×	`associate-/r` `associate-r*`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`associate-/l*`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`distribute-rgt-in` `cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `distribute-lft-in` `sqrt-pow1` `flip3-+` `pow1/2` `div-exp` `flip-+` `div-inv`

Counts

4 → 97

Calls

4 calls:

Slowest

55.0ms	(* (* (fabs x) (fabs x)) (+ (* (fabs x) (* (fabs x) 1/21)) 1/5))
10.0ms	(* (fabs x) 1/21)
9.0ms	(/ (fabs x) (sqrt PI))
2.0ms	(sqrt PI)

series216.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

105.0ms	(/ (fabs x) (sqrt PI))
92.0ms	(* (* (fabs x) (fabs x)) (+ (* (fabs x) (* (fabs x) 1/21)) 1/5))
18.0ms	(* (fabs x) 1/21)
0.0ms	(sqrt PI)

simplify643.0ms

Counts: 107 → 107

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes102.0ms

Accuracy

0% (0.2b remaining)

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

bsearch6.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

5.0s

14086×

body

valid