Details

sample39.0ms

Algorithm

intervals

Results

17.0ms

271×

body

valid

simplify64.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.7b	(- (* b c) (* a d))
24.2b	(/ (- (* b c) (* a 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`
3×	`pow1` `associate-/r` `associate-/l`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 55

Calls

3 calls:

9.0ms	(+ (* c c) (* d d))
9.0ms	(- (* b c) (* a d))
44.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series236.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (* c c) (* d d))
77.0ms	(- (* b c) (* a d))
121.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify547.0ms

Counts: 64 → 64

prune283.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 24.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b	(- (* b c) (* a d))
16.1b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
26.1b	(sqrt (+ (* c c) (* d d)))
26.1b	(sqrt (+ (* c c) (* d d)))

rewrite93.0ms

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:

16.0ms	(- (* b c) (* a d))
39.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
14.0ms	(sqrt (+ (* c c) (* d d)))
20.0ms	(sqrt (+ (* c c) (* d d)))

series348.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* b c) (* a d))
185.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
57.0ms	(sqrt (+ (* c c) (* d d)))
56.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.5s

Counts: 98 → 98

prune452.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 20.4b

localize27.0ms

Local error

Found 4 expressions with local error:

11.1b	(/ (* b c) (sqrt (+ (* c c) (* d d))))
26.1b	(sqrt (+ (* c c) (* d d)))
26.1b	(sqrt (+ (* c c) (* d d)))
26.1b	(sqrt (+ (* c c) (* d d)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

15×	`sqrt-prod`
14×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-div`
7×	`pow1`
6×	`times-frac` `associate-/r*`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`cbrt-undiv` `div-exp` `associate-/r/`
1×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 74

Calls

4 calls:

20.0ms	(/ (* b c) (sqrt (+ (* c c) (* d d))))
9.0ms	(sqrt (+ (* c c) (* d d)))
9.0ms	(sqrt (+ (* c c) (* d d)))
9.0ms	(sqrt (+ (* c c) (* d d)))

series512.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ (* b c) (sqrt (+ (* c c) (* d d))))
44.0ms	(sqrt (+ (* c c) (* d d)))
46.0ms	(sqrt (+ (* c c) (* d d)))
350.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.1s

Counts: 86 → 86

prune381.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 20.1b

localize29.0ms

Local error

Found 4 expressions with local error:

26.1b	(sqrt (+ (* c c) (* d d)))
26.1b	(sqrt (+ (* c c) (* d d)))
26.1b	(sqrt (+ (* c c) (* d d)))
26.1b	(sqrt (+ (* c c) (* d d)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
4×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

9.0ms	(sqrt (+ (* c c) (* d d)))
9.0ms	(sqrt (+ (* c c) (* d d)))
9.0ms	(sqrt (+ (* c c) (* d d)))
9.0ms	(sqrt (+ (* c c) (* d d)))

series172.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sqrt (+ (* c c) (* d d)))
44.0ms	(sqrt (+ (* c c) (* d d)))
41.0ms	(sqrt (+ (* c c) (* d d)))
46.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.7s

Counts: 72 → 72

prune337.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 20.1b

regimes203.0ms

Accuracy

-88.9% (3.2b remaining)

Error of 25.8b against oracle of 22.6b and baseline of 24.3b

bsearch0.0ms

simplify1.2s

end0.0ms

sample915.0ms

Algorithm

intervals

Results

544.0ms

8497×

body

valid