Details

sample71.0ms

Algorithm

intervals

Results

51.0ms

271×

body

valid

simplify86.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.6b

localize19.0ms

Local error

Found 3 expressions with local error:

24.6b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
1.0b	(- (* b c) (* a d))
0.0b	(+ (* c c) (* d d))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-/r` `insert-posit16` `associate-/l`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

3 → 58

Calls

3 calls:

Slowest

34.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
11.0ms	(+ (* c c) (* d d))
10.0ms	(- (* b c) (* a d))

series221.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

118.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
55.0ms	(- (* b c) (* a d))
48.0ms	(+ (* c c) (* d d))

simplify1.1s

Counts: 67 → 67

prune637.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 24.1b

localize28.0ms

Local error

Found 4 expressions with local error:

27.8b	(sqrt (+ (* c c) (* d d)))
27.8b	(sqrt (+ (* c c) (* d d)))
16.1b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
1.0b	(- (* b c) (* a d))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `associate-/r*` `add-cbrt-cube` `sqrt-div` `add-exp-log` `add-log-exp`
4×	`insert-posit16`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

4 → 90

Calls

4 calls:

Slowest

29.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
10.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(- (* b c) (* a d))
7.0ms	(sqrt (+ (* c c) (* d d)))

series287.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

140.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
62.0ms	(- (* b c) (* a d))
45.0ms	(sqrt (+ (* c c) (* d d)))
41.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.2s

Counts: 102 → 102

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 22.0b

localize24.0ms

Local error

Found 4 expressions with local error:

24.1b	(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))
1.0b	(- (* b c) (* a d))
0.9b	(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
0.0b	(+ (* c c) (* d d))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`add-cbrt-cube` `associate-/r/`
8×	`div-exp` `add-log-exp`
6×	`flip3--` `div-inv` `flip--` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `insert-posit16`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3-+` `1-exp` `flip-+` `associate-/l/`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log` `pow-flip` `inv-pow`

Counts

4 → 142

Calls

4 calls:

Slowest

43.0ms	(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))
23.0ms	(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
7.0ms	(+ (* c c) (* d d))
7.0ms	(- (* b c) (* a d))

series307.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

156.0ms	(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
61.0ms	(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))
52.0ms	(- (* b c) (* a d))
39.0ms	(+ (* c c) (* d d))

simplify575.0ms

Counts: 154 → 154

prune1.2s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 22.0b

localize39.0ms

Local error

Found 4 expressions with local error:

28.7b	(cbrt (+ (* c c) (* d d)))
28.7b	(cbrt (+ (* c c) (* d d)))
27.8b	(sqrt (+ (* c c) (* d d)))
16.1b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
15×	`sqrt-prod`
6×	`cbrt-prod` `associate-/r*` `add-cbrt-cube` `add-exp-log`
5×	`pow1`
4×	`cbrt-div` `flip3-+` `sqrt-div` `flip-+` `insert-posit16` `add-log-exp`
3×	`associate-/l*`
2×	`pow1/3` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `flip3--` `pow1/2` `div-sub` `div-exp` `div-inv` `flip--`

Counts

4 → 89

Calls

4 calls:

Slowest

25.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
6.0ms	(sqrt (+ (* c c) (* d d)))
4.0ms	(cbrt (+ (* c c) (* d d)))
4.0ms	(cbrt (+ (* c c) (* d d)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

122.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
100.0ms	(cbrt (+ (* c c) (* d d)))
97.0ms	(cbrt (+ (* c c) (* d d)))
40.0ms	(sqrt (+ (* c c) (* d d)))

simplify728.0ms

Counts: 101 → 101

prune1.1s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 22.0b

regimes369.0ms

Accuracy

12.8% (2.2b remaining)

Error of 24.8b against oracle of 22.5b and baseline of 25.1b

bsearch5.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

956.0ms

8461×

body

valid