Details

sample41.0ms

Algorithm

intervals

Results

19.0ms

273×

body

valid

simplify23.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.8b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.5b	(+ (* a c) (* b d))
23.4b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

8.0ms	(+ (* c c) (* d d))
8.0ms	(+ (* a c) (* b d))
45.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series161.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* c c) (* d d))
37.0ms	(+ (* a c) (* b d))
92.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify1.7s

Counts: 62 → 62

prune278.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 23.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (* a c) (* b d))
15.5b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
29.0b	(sqrt (+ (* c c) (* d d)))
29.0b	(sqrt (+ (* c c) (* d d)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

8.0ms	(+ (* a c) (* b d))
49.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
13.0ms	(sqrt (+ (* c c) (* d d)))
8.0ms	(sqrt (+ (* c c) (* d d)))

series286.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (* a c) (* b d))
141.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
44.0ms	(sqrt (+ (* c c) (* d d)))
47.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.4s

Counts: 96 → 96

prune449.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 21.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (* a c) (* b d))
15.5b	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
29.0b	(sqrt (+ (* c c) (* d d)))
29.0b	(sqrt (+ (* c c) (* d d)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

8.0ms	(+ (* a c) (* b d))
26.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
15.0ms	(sqrt (+ (* c c) (* d d)))
19.0ms	(sqrt (+ (* c c) (* d d)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* a c) (* b d))
108.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
44.0ms	(sqrt (+ (* c c) (* d d)))
52.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.0s

Counts: 96 → 96

prune411.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 21.3b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (* a c) (* b d))
15.5b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
29.0b	(sqrt (+ (* c c) (* d d)))
29.0b	(sqrt (+ (* c c) (* d d)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

8.0ms	(+ (* a c) (* b d))
43.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
8.0ms	(sqrt (+ (* c c) (* d d)))
12.0ms	(sqrt (+ (* c c) (* d d)))

series286.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* a c) (* b d))
157.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
47.0ms	(sqrt (+ (* c c) (* d d)))
42.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.3s

Counts: 96 → 96

prune347.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 21.3b

regimes168.0ms

Accuracy

-0.6% (3.1b remaining)

Error of 26.0b against oracle of 22.9b and baseline of 26.0b

bsearch0.0ms

simplify740.0ms

end0.0ms

sample827.0ms

Algorithm

intervals

Results

479.0ms

8467×

body

valid