Details

sample34.0ms

Algorithm

intervals

Results

19.0ms

272×

body

valid

simplify5.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.5b	(- (* b c) (* a d))
29.4b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

8.0ms	(- (* b c) (* a d))
26.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series148.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- (* b c) (* a d))
101.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify96.0ms

Counts: 50 → 50

prune160.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 29.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* b c) (* a d))
17.6b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
30.9b	(sqrt (+ (* c c) (* d d)))
30.9b	(sqrt (+ (* c c) (* d d)))

rewrite59.0ms

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`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 86

Calls

4 calls:

8.0ms	(- (* b c) (* a d))
32.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
8.0ms	(sqrt (+ (* c c) (* d d)))
8.0ms	(sqrt (+ (* c c) (* d d)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* b c) (* a d))
128.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
42.0ms	(sqrt (+ (* c c) (* d d)))
38.0ms	(sqrt (+ (* c c) (* d d)))

simplify89.0ms

Counts: 98 → 98

prune342.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 27.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* b c) (* a d))
17.7b	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
30.9b	(sqrt (+ (* c c) (* d d)))
30.9b	(sqrt (+ (* c c) (* d d)))

rewrite51.0ms

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`
3×	`flip3-+` `associate-/r*` `flip-+`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

4 → 85

Calls

4 calls:

8.0ms	(- (* b c) (* a d))
24.0ms	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
8.0ms	(sqrt (+ (* c c) (* d d)))
8.0ms	(sqrt (+ (* c c) (* d d)))

series221.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* b c) (* a d))
93.0ms	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
38.0ms	(sqrt (+ (* c c) (* d d)))
43.0ms	(sqrt (+ (* c c) (* d d)))

simplify64.0ms

Counts: 97 → 97

prune315.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 27.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* b c) (* a d))
17.6b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
30.9b	(sqrt (+ (* c c) (* d d)))
30.9b	(sqrt (+ (* c c) (* d d)))

rewrite61.0ms

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`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 86

Calls

4 calls:

8.0ms	(- (* b c) (* a d))
34.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
8.0ms	(sqrt (+ (* c c) (* d d)))
8.0ms	(sqrt (+ (* c c) (* d d)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* b c) (* a d))
132.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
42.0ms	(sqrt (+ (* c c) (* d d)))
39.0ms	(sqrt (+ (* c c) (* d d)))

simplify89.0ms

Counts: 98 → 98

prune337.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 27.2b

regimes175.0ms

Accuracy

0% (3.3b remaining)

Error of 26.4b against oracle of 23.1b and baseline of 26.4b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample941.0ms

Algorithm

intervals

Results

593.0ms

8494×

body

valid