Details

sample55.0ms

Algorithm

intervals

Results

40.0ms

271×

body

valid

simplify9.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.4b

localize26.0ms

Local error

Found 3 expressions with local error:

23.4b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
0.3b	(+ (* a c) (* b d))
0.0b	(+ (* c c) (* d d))

rewrite101.0ms

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

Counts

3 → 56

Calls

3 calls:

Slowest

70.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
15.0ms	(+ (* a c) (* b d))
15.0ms	(+ (* c c) (* d d))

series184.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

105.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
45.0ms	(+ (* a c) (* b d))
34.0ms	(+ (* c c) (* d d))

simplify1.2s

Counts: 65 → 65

prune721.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 23.0b

localize35.0ms

Local error

Found 4 expressions with local error:

26.2b	(sqrt (+ (* c c) (* d d)))
26.2b	(sqrt (+ (* c c) (* d d)))
14.2b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
0.3b	(+ (* a c) (* b d))

rewrite56.0ms

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

33.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
10.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(+ (* a c) (* b d))
6.0ms	(sqrt (+ (* c c) (* d d)))

series338.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

155.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
66.0ms	(+ (* a c) (* b d))
66.0ms	(sqrt (+ (* c c) (* d d)))
51.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.0s

Counts: 100 → 100

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 21.3b

localize64.0ms

Local error

Found 4 expressions with local error:

26.2b	(sqrt (+ (* c c) (* d d)))
26.2b	(sqrt (+ (* c c) (* d d)))
14.2b	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
0.3b	(+ (* a c) (* b d))

rewrite61.0ms

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

31.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
11.0ms	(sqrt (+ (* c c) (* d d)))
10.0ms	(sqrt (+ (* c c) (* d d)))
8.0ms	(+ (* a c) (* b d))

series266.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

106.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
63.0ms	(sqrt (+ (* c c) (* d d)))
56.0ms	(sqrt (+ (* c c) (* d d)))
41.0ms	(+ (* a c) (* b d))

simplify1.1s

Counts: 100 → 100

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 21.3b

localize28.0ms

Local error

Found 4 expressions with local error:

26.2b	(sqrt (+ (* c c) (* d d)))
26.2b	(sqrt (+ (* c c) (* d d)))
14.2b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
0.3b	(+ (* a c) (* b d))

rewrite96.0ms

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

61.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
13.0ms	(+ (* a c) (* b d))
12.0ms	(sqrt (+ (* c c) (* d d)))
10.0ms	(sqrt (+ (* c c) (* d d)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

117.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
47.0ms	(sqrt (+ (* c c) (* d d)))
42.0ms	(sqrt (+ (* c c) (* d d)))
40.0ms	(+ (* a c) (* b d))

simplify891.0ms

Counts: 100 → 100

prune1.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 21.3b

regimes302.0ms

Accuracy

0% (2.5b remaining)

Error of 25.7b against oracle of 23.2b and baseline of 25.7b

bsearch6.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

991.0ms

8474×

body

valid