Details

sample68.0ms

Algorithm

intervals

Results

49.0ms

271×

body

valid

simplify78.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	70
5	70
4	66
3	48
2	36
1	19
0	11

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.9b

localize23.0ms

Local error

Found 2 expressions with local error:

0.7b	(- (* b c) (* a d))
24.9b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite46.0ms

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

Counts

2 → 46

Calls

2 calls:

7.0ms	(- (* b c) (* a d))
37.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series207.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(- (* b c) (* a d))
134.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify1.2s

Counts

52 → 52

Iterations

Iter	Nodes
3	2825
2	840
1	255
0	88

prune558.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 24.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.7b	(- (* b c) (* a d))
15.7b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
29.1b	(sqrt (+ (* c c) (* d d)))
29.1b	(sqrt (+ (* c c) (* d d)))

rewrite44.0ms

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

Counts

4 → 90

Calls

4 calls:

10.0ms	(- (* b c) (* a d))
21.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series306.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (* b c) (* a d))
145.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
38.0ms	(sqrt (+ (* c c) (* d d)))
49.0ms	(sqrt (+ (* c c) (* d d)))

simplify779.0ms

Counts

102 → 102

Iterations

Iter	Nodes
3	2495
2	890
1	310
0	121

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 21.5b

localize34.0ms

Local error

Found 4 expressions with local error:

11.2b	(/ (* b c) (sqrt (+ (* c c) (* d d))))
29.1b	(sqrt (+ (* c c) (* d d)))
29.1b	(sqrt (+ (* c c) (* d d)))
29.1b	(sqrt (+ (* c c) (* d d)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

15×	`sqrt-prod`
14×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-div`
7×	`pow1`
6×	`associate-/r*` `times-frac`
4×	`flip3-+` `flip-+` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`cbrt-undiv` `div-exp` `associate-/r/`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 78

Calls

4 calls:

15.0ms	(/ (* b c) (sqrt (+ (* c c) (* d d))))
18.0ms	(sqrt (+ (* c c) (* d d)))
12.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ (* b c) (sqrt (+ (* c c) (* d d))))
46.0ms	(sqrt (+ (* c c) (* d d)))
43.0ms	(sqrt (+ (* c c) (* d d)))
43.0ms	(sqrt (+ (* c c) (* d d)))

simplify662.0ms

Counts

90 → 90

Iterations

Iter	Nodes
3	2117
2	612
1	204
0	86

prune888.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 21.2b

localize32.0ms

Local error

Found 4 expressions with local error:

8.4b	(/ (* a d) (sqrt (+ (* c c) (* d d))))
29.1b	(sqrt (+ (* c c) (* d d)))
29.1b	(sqrt (+ (* c c) (* d d)))
29.1b	(sqrt (+ (* c c) (* d d)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

15×	`sqrt-prod`
14×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-div`
7×	`pow1`
6×	`associate-/r*` `times-frac`
4×	`flip3-+` `flip-+` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`cbrt-undiv` `div-exp` `associate-/r/`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 78

Calls

4 calls:

15.0ms	(/ (* a d) (sqrt (+ (* c c) (* d d))))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (* a d) (sqrt (+ (* c c) (* d d))))
45.0ms	(sqrt (+ (* c c) (* d d)))
40.0ms	(sqrt (+ (* c c) (* d d)))
45.0ms	(sqrt (+ (* c c) (* d d)))

simplify566.0ms

Counts

90 → 90

Iterations

Iter	Nodes
3	2115
2	616
1	205
0	86

prune835.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 20.6b

regimes298.0ms

Accuracy

0% (0.5b remaining)

Error of 22.4b against oracle of 21.9b and baseline of 22.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	17
1	17
0	14

end0.0ms

sample1.0s

Algorithm

intervals

Results

748.0ms

8462×

body

valid