Details

sample86.0ms

Algorithm

intervals

Results

69.0ms

630×

body

valid

simplify178.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

178.0ms

(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1)

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (+ (* a a) (* b b)) 2)
0.0b	(* 4 (* b b))
0.0b	(+ (* a a) (* b b))
0.0b	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt` `add-log-exp`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16`
3×	`pow-unpow` `unpow-prod-down` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `sum-log` `flip3-+` `flip-+`
1×	`pow-to-exp` `pow-pow` `associate-r` `pow-exp` `*-commutative` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

Slowest

54.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
26.0ms	(* 4 (* b b))
14.0ms	(+ (* a a) (* b b))
10.0ms	(pow (+ (* a a) (* b b)) 2)

series228.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

88.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
54.0ms	(pow (+ (* a a) (* b b)) 2)
49.0ms	(+ (* a a) (* b b))
37.0ms	(* 4 (* b b))

simplify10.8s

Counts

80 → 75

Calls

80 calls:

Slowest

523.0ms	(* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)))
415.0ms	(* (* (* 4 (* b b)) (* 4 (* b b))) (* 4 (* b b)))
397.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
391.0ms	(- (* (pow (+ (* a a) (* b b)) 2) (pow (+ (* a a) (* b b)) 2)) (* (* 4 (* b b)) (* 4 (* b b))))
311.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))

prune776.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

10.4b	(cbrt (+ (* a a) (* b b)))
10.4b	(cbrt (+ (* a a) (* b b)))
10.4b	(cbrt (+ (* a a) (* b b)))
0.5b	(* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

Slowest

41.0ms	(* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))
5.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))

series572.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

163.0ms	(cbrt (+ (* a a) (* b b)))
141.0ms	(* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))
136.0ms	(cbrt (+ (* a a) (* b b)))
132.0ms	(cbrt (+ (* a a) (* b b)))

simplify9.0s

Counts

127 → 103

Calls

127 calls:

Slowest

726.0ms	(cbrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))
356.0ms	(* (cbrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (cbrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))))
337.0ms	(* (cbrt (+ (* a a) (* b b))) (cbrt (+ (pow (* a a) 3) (pow (* b b) 3))))
334.0ms	(* (cbrt (- (* a a) (* b b))) (cbrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))))
330.0ms	(* (cbrt (+ (pow (* a a) 3) (pow (* b b) 3))) (cbrt (+ (* a a) (* b b))))

prune1.3s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

10.4b	(cbrt (+ (* a a) (* b b)))
10.4b	(cbrt (+ (* a a) (* b b)))
9.8b	(sqrt (+ (* a a) (* b b)))
9.8b	(sqrt (+ (* a a) (* b b)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `pow1` `sqrt-prod`
4×	`cbrt-div` `flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 60

Calls

4 calls:

Slowest

6.0ms	(sqrt (+ (* a a) (* b b)))
6.0ms	(sqrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))

series373.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

139.0ms	(cbrt (+ (* a a) (* b b)))
128.0ms	(cbrt (+ (* a a) (* b b)))
62.0ms	(sqrt (+ (* a a) (* b b)))
44.0ms	(sqrt (+ (* a a) (* b b)))

simplify5.0s

Counts

86 → 72

Calls

86 calls:

Slowest

374.0ms	(sqrt (+ (pow (* a a) 3) (pow (* b b) 3)))
362.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
353.0ms	(sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))
350.0ms	(cbrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))
302.0ms	(sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))

prune1.1s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

20.6b	(cbrt (pow (+ (* a a) (* b b)) 2))
20.6b	(cbrt (pow (+ (* a a) (* b b)) 2))
20.6b	(cbrt (pow (+ (* a a) (* b b)) 2))
0.4b	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod`
52×	`add-sqr-sqrt`
31×	`unpow-prod-down`
25×	`unswap-sqr`
22×	`*-un-lft-identity` `add-cube-cbrt`
17×	`unpow2` `sqr-pow`
11×	`pow1` `swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 128

Calls

4 calls:

Slowest

82.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
6.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series575.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

155.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
150.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
144.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
126.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify41.4s

Counts

195 → 140

Calls

195 calls:

Slowest

620.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2))
513.0ms	(sqrt (cbrt (pow (+ (* a a) (* b b)) 2)))
512.0ms	(cbrt (cbrt (pow (+ (* a a) (* b b)) 2)))
509.0ms	(* (* (* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2))) (* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))) (* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2))))
484.0ms	(log (cbrt (pow (+ (* a a) (* b b)) 2)))

prune1.7s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes562.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample3.8s

Algorithm

intervals

Results

3.3s

20659×

body

valid