Details

sample76.0ms

Algorithm

intervals

Results

50.0ms

641×

body

valid

simplify922.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* a a) (* b b))
0.0b	(* 4.0 (* b b))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log`
8×	`add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `associate-r` `pow-exp` `sum-log` `*-commutative` `flip-+` `unswap-sqr` `sqr-pow`

Counts

3 → 47

Calls

3 calls:

10.0ms	(+ (* a a) (* b b))
23.0ms	(* 4.0 (* b b))
12.0ms	(pow (+ (* a a) (* b b)) 2.0)

series224.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (* a a) (* b b))
32.0ms	(* 4.0 (* b b))
158.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify1.6s

Counts: 56 → 56

prune228.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

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))

rewrite160.0ms

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:

122.0ms	(* (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))
16.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series999.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
254.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
257.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
224.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.5s

Counts: 121 → 121

prune527.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

13.0b	(sqrt (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))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
14×	`add-sqr-sqrt`
13×	`unpow-prod-down`
12×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
5×	`sqr-pow`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`rem-sqrt-square` `pow1/3`
1×	`sqrt-pow1` `pow1/2`

Counts

4 → 64

Calls

4 calls:

20.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
16.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
10.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series940.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
266.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
228.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
240.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.4s

Counts: 76 → 76

prune490.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

10.1b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
10.1b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
10.1b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
20.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

37×	`cbrt-prod`
21×	`unpow-prod-down`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-prod`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

19.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
11.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
11.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
10.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series913.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
231.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
252.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
240.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify2.0s

Counts: 81 → 81

prune620.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes320.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0s

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.2s

20262×

body

valid