Details

sample89.0ms

Algorithm

intervals

Results

72.0ms

592×

body

valid

simplify1.8s

Counts: 1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize35.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
0.0b	(* (* b b) 4)
0.0b	(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

Slowest

43.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
29.0ms	(* (* b b) 4)
23.0ms	(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))

series184.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

93.0ms	(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
46.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
44.0ms	(* (* b b) 4)

simplify597.0ms

Counts: 79 → 79

prune775.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

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	(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
35×	`flip3-+` `flip-+`
32×	`frac-times`
30×	`pow1`
19×	`add-sqr-sqrt`
16×	`associate-*r/`
15×	`pow-prod-up`
13×	`sqrt-prod`
12×	`sqrt-pow1` `pow1/2` `associate-l`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*l/`
6×	`pow-plus`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `cube-unmult` `*-commutative` `unswap-sqr`

Counts

4 → 131

Calls

4 calls:

Slowest

145.0ms	(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
59.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
7.0ms	(sqrt (+ (* a a) (* b b)))
6.0ms	(sqrt (+ (* a a) (* b b)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

157.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
50.0ms	(sqrt (+ (* a a) (* b b)))
46.0ms	(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
43.0ms	(sqrt (+ (* a a) (* b b)))

simplify896.0ms

Counts: 143 → 143

prune1.8s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

9.0b	(sqrt (+ (* a a) (* b b)))
0.0b	(pow (sqrt (+ (* a a) (* b b))) 4)
0.0b	(* (* b b) 4)
0.0b	(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
11×	`add-sqr-sqrt`
10×	`add-exp-log`
9×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
6×	`unpow-prod-down` `sqrt-prod` `add-log-exp`
4×	`insert-posit16`
3×	`pow-unpow` `pow-pow` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sqrt-pow1` `flip3-+` `pow1/2` `sqrt-div` `flip-+`
1×	`pow-to-exp` `+-commutative` `rem-sqrt-square` `sum-log` `associate-l` `pow-exp` `*-commutative` `sqrt-pow2` `unswap-sqr` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

Slowest

59.0ms	(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
28.0ms	(* (* b b) 4)
8.0ms	(pow (sqrt (+ (* a a) (* b b))) 4)
6.0ms	(sqrt (+ (* a a) (* b b)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

86.0ms	(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
78.0ms	(pow (sqrt (+ (* a a) (* b b))) 4)
51.0ms	(sqrt (+ (* a a) (* b b)))
46.0ms	(* (* b b) 4)

simplify1.4s

Counts: 84 → 84

prune760.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

18.6b	(cbrt (* (* (sqrt (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b)))))
9.0b	(sqrt (+ (* a a) (* b b)))
9.0b	(sqrt (+ (* a a) (* b b)))
9.0b	(sqrt (+ (* a a) (* b b)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

60×	`sqrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`cbrt-div`
14×	`associate-*l/`
10×	`add-sqr-sqrt`
9×	`sqrt-prod`
8×	`associate-*r/`
7×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 85

Calls

4 calls:

Slowest

62.0ms	(cbrt (* (* (sqrt (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b)))))
8.0ms	(sqrt (+ (* a a) (* b b)))
6.0ms	(sqrt (+ (* a a) (* b b)))
6.0ms	(sqrt (+ (* a a) (* b b)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

68.0ms	(sqrt (+ (* a a) (* b b)))
64.0ms	(cbrt (* (* (sqrt (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b)))))
63.0ms	(sqrt (+ (* a a) (* b b)))
45.0ms	(sqrt (+ (* a a) (* b b)))

simplify2.1s

Counts: 97 → 97

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.4s

Algorithm

intervals

Results

3.0s

20613×

body

valid