Details

sample39.0ms

Algorithm

intervals

Results

28.0ms

265×

body

valid

simplify11.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.6b

localize19.0ms

Local error

Found 2 expressions with local error:

27.6b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
1.3b	(+ (* a c) (* b d))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

Slowest

31.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
7.0ms	(+ (* a c) (* b d))

series142.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

93.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
48.0ms	(+ (* a c) (* b d))

simplify704.0ms

Counts: 50 → 50

prune484.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 27.2b

localize23.0ms

Local error

Found 4 expressions with local error:

31.6b	(sqrt (+ (* c c) (* d d)))
31.6b	(sqrt (+ (* c c) (* d d)))
15.5b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
1.3b	(+ (* a c) (* b d))

rewrite53.0ms

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`
5×	`flip3-+` `flip-+`
4×	`insert-posit16`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 88

Calls

4 calls:

Slowest

28.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
10.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(+ (* a c) (* b d))
7.0ms	(sqrt (+ (* c c) (* d d)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

128.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
59.0ms	(sqrt (+ (* c c) (* d d)))
55.0ms	(sqrt (+ (* c c) (* d d)))
53.0ms	(+ (* a c) (* b d))

simplify843.0ms

Counts: 100 → 100

prune1.1s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 26.4b

localize48.0ms

Local error

Found 4 expressions with local error:

31.6b	(sqrt (+ (* c c) (* d d)))
31.6b	(sqrt (+ (* c c) (* d d)))
15.6b	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
1.3b	(+ (* a c) (* b d))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

Slowest

17.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
9.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(+ (* a c) (* b d))

series268.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

111.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
56.0ms	(sqrt (+ (* c c) (* d d)))
54.0ms	(+ (* a c) (* b d))
47.0ms	(sqrt (+ (* c c) (* d d)))

simplify895.0ms

Counts: 100 → 100

prune1.2s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 26.4b

localize36.0ms

Local error

Found 3 expressions with local error:

27.2b	(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))
1.3b	(+ (* a c) (* b d))
0.7b	(/ 1 (+ (* c c) (* d d)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `times-frac`
19×	`add-cube-cbrt`
16×	`add-exp-log`
15×	`associate-r`
10×	`add-cbrt-cube`
6×	`pow1`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`associate-/r` `associate-l` `insert-posit16` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 89

Calls

3 calls:

Slowest

56.0ms	(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))
10.0ms	(/ 1 (+ (* c c) (* d d)))
7.0ms	(+ (* a c) (* b d))

series264.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

134.0ms	(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))
66.0ms	(/ 1 (+ (* c c) (* d d)))
64.0ms	(+ (* a c) (* b d))

simplify1.6s

Counts: 98 → 98

prune988.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 26.4b

regimes514.0ms

Accuracy

0% (2.6b remaining)

Error of 25.6b against oracle of 23.0b and baseline of 25.6b

bsearch2.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.0s

8497×

body

valid