Details

sample108.0ms

Algorithm

intervals

Results

86.0ms

592×

body

valid

simplify2.4s

Counts: 1 → 1

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
0.2b	(* (* b b) -3)
0.1b	(* a (+ (* (* b b) -3) (+ (* a a) a)))
0.0b	(* (+ (* b b) (* a (+ (* (* b b) -3) (+ (* a a) a)))) 4)

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `pow1`
15×	`add-cbrt-cube` `add-exp-log`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`associate-r`
10×	`associate-l`
8×	`flip3-+` `flip-+`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`frac-times` `associate-l/` `associate-r/` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`swap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 100

Calls

4 calls:

Slowest

102.0ms	(* a (+ (* (* b b) -3) (+ (* a a) a)))
57.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
23.0ms	(* (* b b) -3)
18.0ms	(* (+ (* b b) (* a (+ (* (* b b) -3) (+ (* a a) a)))) 4)

series238.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

79.0ms	(* (+ (* b b) (* a (+ (* (* b b) -3) (+ (* a a) a)))) 4)
75.0ms	(* a (+ (* (* b b) -3) (+ (* a a) a)))
49.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
35.0ms	(* (* b b) -3)

simplify855.0ms

Counts: 112 → 112

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

9.0b	(sqrt (+ (* a a) (* b b)))
9.0b	(sqrt (+ (* a a) (* b b)))
0.2b	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
0.2b	(* (* b b) -3)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`pow1`
11×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `sqrt-div` `add-cube-cbrt` `sqrt-prod`
8×	`flip3-+` `flip-+`
7×	`associate-l`
6×	`associate-r`
4×	`frac-times` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`rem-sqrt-square` `pow-plus` `associate-l/` `associate-r/` `*-commutative` `pow-prod-up`
1×	`distribute-rgt-in` `distribute-lft-in` `cube-unmult`

Counts

4 → 90

Calls

4 calls:

Slowest

49.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
22.0ms	(* (* b b) -3)
11.0ms	(sqrt (+ (* a a) (* b b)))
6.0ms	(sqrt (+ (* a a) (* b b)))

series267.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

104.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
63.0ms	(sqrt (+ (* a a) (* b b)))
57.0ms	(sqrt (+ (* a a) (* b b)))
43.0ms	(* (* b b) -3)

simplify1.7s

Counts: 102 → 102

prune1.6s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

9.0b	(sqrt (+ (* a a) (* b b)))
9.0b	(sqrt (+ (* a a) (* b b)))
0.2b	(* (* b b) -3)
0.2b	(* (sqrt (+ (* a a) (* b b))) (pow (sqrt (+ (* a a) (* b b))) 3))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
25×	`sqrt-prod`
21×	`associate-r`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
13×	`unswap-sqr`
12×	`pow1`
11×	`add-cbrt-cube`
10×	`unpow-prod-down` `cube-prod`
8×	`flip3-+` `flip-+`
7×	`associate-l`
6×	`cube-div` `prod-exp`
4×	`frac-times` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow-prod-down` `sqr-pow`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `associate-r/` `*-commutative`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `pow-prod-up`

Counts

4 → 110

Calls

4 calls:

Slowest

78.0ms	(* (sqrt (+ (* a a) (* b b))) (pow (sqrt (+ (* a a) (* b b))) 3))
23.0ms	(* (* b b) -3)
10.0ms	(sqrt (+ (* a a) (* b b)))
10.0ms	(sqrt (+ (* a a) (* b b)))

series191.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

55.0ms	(sqrt (+ (* a a) (* b b)))
55.0ms	(* (sqrt (+ (* a a) (* b b))) (pow (sqrt (+ (* a a) (* b b))) 3))
51.0ms	(sqrt (+ (* a a) (* b b)))
30.0ms	(* (* b b) -3)

simplify1.5s

Counts: 122 → 122

prune1.7s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

9.0b	(sqrt (+ (* a a) (* b b)))
0.2b	(* (* b b) -3)
0.1b	(* a (+ (* (* b b) -3) (+ (* a a) a)))
0.0b	(* (+ (* b b) (* a (+ (* (* b b) -3) (+ (* a a) a)))) 4)

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`pow1`
13×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
7×	`associate-l`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`flip3-+` `*-commutative` `sqrt-prod` `flip-+` `unswap-sqr`
2×	`sqrt-div` `associate-l/` `associate-r/`
1×	`distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2`

Counts

4 → 80

Calls

4 calls:

Slowest

100.0ms	(* a (+ (* (* b b) -3) (+ (* a a) a)))
24.0ms	(* (* b b) -3)
19.0ms	(* (+ (* b b) (* a (+ (* (* b b) -3) (+ (* a a) a)))) 4)
10.0ms	(sqrt (+ (* a a) (* b b)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

78.0ms	(* (+ (* b b) (* a (+ (* (* b b) -3) (+ (* a a) a)))) 4)
69.0ms	(* a (+ (* (* b b) -3) (+ (* a a) a)))
46.0ms	(sqrt (+ (* a a) (* b b)))
41.0ms	(* (* b b) -3)

simplify531.0ms

Counts: 92 → 92

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes161.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample4.4s

Algorithm

intervals

Results

4.0s

20613×

body

valid