Details

sample114.0ms

Algorithm

intervals

Results

84.0ms

641×

body

valid

simplify1.7s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b	(* (* a a) (+ 1.0 a))
0.2b	(* (* b b) (- 1.0 (* 3.0 a)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `associate-r`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `frac-add` `flip-+` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `flip3--` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

145.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
61.0ms	(* (* a a) (+ 1.0 a))
45.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
10.0ms	(pow (+ (* a a) (* b b)) 2.0)

series428.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
76.0ms	(* (* a a) (+ 1.0 a))
86.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
165.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify2.1s

Counts: 104 → 104

prune433.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
20.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
46×	`add-sqr-sqrt`
29×	`unpow-prod-down`
22×	`add-cube-cbrt` `*-un-lft-identity`
16×	`unswap-sqr`
15×	`sqr-pow`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

121.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series930.0ms

Counts

4 → 12

Calls

4 calls:

273.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
194.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
240.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
223.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.4s

Counts: 121 → 121

prune761.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b	(pow (sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0))) 4)
2.3b	(sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0)))
20.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

31×	`cbrt-prod`
26×	`unpow-prod-down`
20×	`sqrt-prod`
19×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`sqr-pow`
5×	`add-exp-log`
4×	`rem-sqrt-square` `pow-pow` `sqrt-pow1` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow1/2`
1×	`pow-to-exp` `pow-exp` `sqrt-pow2`

Counts

4 → 85

Calls

4 calls:

26.0ms	(pow (sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0))) 4)
30.0ms	(sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0)))
16.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series827.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(pow (sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0))) 4)
212.0ms	(sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0)))
177.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
239.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify924.0ms

Counts: 97 → 97

prune798.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

20.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
11.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series927.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
220.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
222.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
233.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.3s

Counts: 72 → 72

prune574.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes324.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.7s

end0.0ms

sample3.8s

Algorithm

intervals

Results

3.0s

20262×

body

valid