Details

sample51.0ms

Algorithm

intervals

Results

34.0ms

271×

body

valid

simplify76.0ms

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.4b

localize42.0ms

Local error

Found 2 expressions with local error:

0.3b	(- (* b c) (* a d))
26.4b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite40.0ms

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:

15.0ms	(- (* b c) (* a d))
24.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series179.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(- (* b c) (* a d))
128.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify853.0ms

Counts

52 → 52

Iterations

Iter	Nodes
3	2825
2	840
1	255
0	88

prune515.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 26.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* b c) (* a d))
17.2b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
29.9b	(sqrt (+ (* c c) (* d d)))
29.9b	(sqrt (+ (* c c) (* d d)))

rewrite67.0ms

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:

7.0ms	(- (* b c) (* a d))
35.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
11.0ms	(sqrt (+ (* c c) (* d d)))
12.0ms	(sqrt (+ (* c c) (* d d)))

series281.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (* b c) (* a d))
137.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
45.0ms	(sqrt (+ (* c c) (* d d)))
45.0ms	(sqrt (+ (* c c) (* d d)))

simplify692.0ms

Counts

102 → 102

Iterations

Iter	Nodes
3	2495
2	890
1	310
0	121

prune1.0s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 23.9b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* b c) (* a d))
17.2b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
29.9b	(sqrt (+ (* c c) (* d d)))
29.9b	(sqrt (+ (* c c) (* d d)))

rewrite47.0ms

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:

7.0ms	(- (* b c) (* a d))
26.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series239.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* b c) (* a d))
114.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
39.0ms	(sqrt (+ (* c c) (* d d)))
40.0ms	(sqrt (+ (* c c) (* d d)))

simplify603.0ms

Counts

102 → 102

Iterations

Iter	Nodes
3	2495
2	890
1	310
0	121

prune971.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 23.9b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* b c) (* a d))
17.2b	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
29.9b	(sqrt (+ (* c c) (* d d)))
29.9b	(sqrt (+ (* c c) (* d d)))

rewrite39.0ms

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`
4×	`insert-posit16`
3×	`associate-/r*` `flip3-+` `flip-+`
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-exp` `div-inv`

Counts

4 → 89

Calls

4 calls:

7.0ms	(- (* b c) (* a d))
19.0ms	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* b c) (* a d))
84.0ms	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
39.0ms	(sqrt (+ (* c c) (* d d)))
43.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.7s

Counts

101 → 101

Iterations

Iter	Nodes
4	4368
3	1771
2	720
1	270
0	116

prune922.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 23.9b

regimes327.0ms

Accuracy

0% (1.8b remaining)

Error of 25.7b against oracle of 23.9b and baseline of 25.7b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	14
1	14
0	11

end0.0ms

sample1.0s

Algorithm

intervals

Results

736.0ms

8491×

body

valid