Details

sample87.0ms

Algorithm

intervals

Results

70.0ms

630×

body

valid

simplify630.0ms

Counts: 1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

Slowest

43.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
17.0ms	(+ (* a a) (* b b))
16.0ms	(* (* b b) 4)
12.0ms	(+ (* a a) (* b b))

series157.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

53.0ms	(+ (* a a) (* b b))
40.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
34.0ms	(* (* b b) 4)
29.0ms	(+ (* a a) (* b b))

simplify505.0ms

Counts: 102 → 92

prune858.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

9.8b	(sqrt (+ (* a a) (* b b)))
9.8b	(sqrt (+ (* a a) (* b b)))
0.2b	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
0.1b	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
35×	`flip3-+` `flip-+`
32×	`frac-times`
25×	`pow1`
20×	`add-sqr-sqrt`
16×	`associate-*l/`
13×	`sqrt-prod`
12×	`associate-r`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `pow-prod-up` `add-cube-cbrt`
10×	`associate-*r/`
7×	`sqrt-pow1` `pow1/2`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow3`
2×	`rem-sqrt-square` `*-commutative` `unswap-sqr`
1×	`pow-plus`

Counts

4 → 120

Calls

4 calls:

Slowest

103.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
41.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
8.0ms	(sqrt (+ (* a a) (* b b)))
7.0ms	(sqrt (+ (* a a) (* b b)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

122.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
49.0ms	(sqrt (+ (* a a) (* b b)))
47.0ms	(sqrt (+ (* a a) (* b b)))
41.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))

simplify634.0ms

Counts: 157 → 132

prune1.5s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

9.8b	(sqrt (+ (* a a) (* b b)))
0.0b	(pow (sqrt (+ (* a a) (* b b))) 4)
0.0b	(* (* b b) 4)
0.0b	(+ (* a a) (* b b))

rewrite60.0ms

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

28.0ms	(* (* b b) 4)
15.0ms	(pow (sqrt (+ (* a a) (* b b))) 4)
10.0ms	(+ (* a a) (* b b))
6.0ms	(sqrt (+ (* a a) (* b b)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

72.0ms	(pow (sqrt (+ (* a a) (* b b))) 4)
50.0ms	(* (* b b) 4)
50.0ms	(sqrt (+ (* a a) (* b b)))
42.0ms	(+ (* a a) (* b b))

simplify436.0ms

Counts: 95 → 84

prune935.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

9.8b	(sqrt (+ (* a a) (* b b)))
9.8b	(sqrt (+ (* a a) (* b b)))
9.8b	(sqrt (+ (* a a) (* b b)))
0.2b	(* (* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (sqrt (+ (* a a) (* b b))))) (sqrt (sqrt (+ (* a a) (* b b)))))

rewrite356.0ms

Algorithm

rewrite-expression-head

Rules

276×	`sqrt-div`
136×	`frac-times`
111×	`flip3-+` `flip-+`
68×	`associate-*l/`
40×	`pow1`
35×	`sqrt-pow1`
32×	`pow-prod-up`
26×	`associate-*r/`
19×	`pow1/2`
18×	`sqrt-prod`
17×	`add-sqr-sqrt`
13×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`pow3` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square`
1×	`associate-l` `*-commutative`

Counts

4 → 168

Calls

4 calls:

Slowest

323.0ms	(* (* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (sqrt (+ (* a a) (* b b))))) (sqrt (sqrt (+ (* a a) (* b b)))))
11.0ms	(sqrt (+ (* a a) (* b b)))
7.0ms	(sqrt (+ (* a a) (* b b)))
7.0ms	(sqrt (+ (* a a) (* b b)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

67.0ms	(sqrt (+ (* a a) (* b b)))
60.0ms	(* (* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (sqrt (+ (* a a) (* b b))))) (sqrt (sqrt (+ (* a a) (* b b)))))
51.0ms	(sqrt (+ (* a a) (* b b)))
49.0ms	(sqrt (+ (* a a) (* b b)))

simplify664.0ms

Counts: 240 → 180

prune2.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

3.0s

20659×

body

valid