Details

sample43.0ms

Algorithm

intervals

Results

29.0ms

267×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	15
1	15
0	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.9b

localize25.0ms

Local error

Found 2 expressions with local error:

0.7b	(+ (* a c) (* b d))
26.9b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite59.0ms

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

Counts

2 → 44

Calls

2 calls:

7.0ms	(+ (* a c) (* b d))
51.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series134.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (* a c) (* b d))
91.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify804.0ms

Counts

50 → 50

Iterations

Iter	Nodes
3	2590
2	777
1	237
0	85

prune718.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 26.4b

localize58.0ms

Local error

Found 4 expressions with local error:

0.7b	(+ (* a c) (* b d))
18.2b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
29.2b	(sqrt (+ (* c c) (* d d)))
29.2b	(sqrt (+ (* c c) (* d d)))

rewrite70.0ms

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

Counts

4 → 88

Calls

4 calls:

10.0ms	(+ (* a c) (* b d))
33.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
12.0ms	(sqrt (+ (* c c) (* d d)))
12.0ms	(sqrt (+ (* c c) (* d d)))

series308.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (* a c) (* b d))
144.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
55.0ms	(sqrt (+ (* c c) (* d d)))
64.0ms	(sqrt (+ (* c c) (* d d)))

simplify756.0ms

Counts

100 → 100

Iterations

Iter	Nodes
3	2148
2	772
1	281
0	117

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 22.7b

localize35.0ms

Local error

Found 4 expressions with local error:

0.7b	(+ (* a c) (* b d))
18.2b	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
29.2b	(sqrt (+ (* c c) (* d d)))
29.2b	(sqrt (+ (* c c) (* d d)))

rewrite54.0ms

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

Counts

4 → 88

Calls

4 calls:

7.0ms	(+ (* a c) (* b d))
20.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
13.0ms	(sqrt (+ (* c c) (* d d)))
13.0ms	(sqrt (+ (* c c) (* d d)))

series236.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* a c) (* b d))
105.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
52.0ms	(sqrt (+ (* c c) (* d d)))
39.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.9s

Counts

100 → 100

Iterations

Iter	Nodes
4	4746
3	1868
2	745
1	271
0	115

prune1.2s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 22.7b

localize31.0ms

Local error

Found 4 expressions with local error:

0.7b	(+ (* a c) (* b d))
18.2b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
29.2b	(sqrt (+ (* c c) (* d d)))
29.2b	(sqrt (+ (* c c) (* d d)))

rewrite55.0ms

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

Counts

4 → 88

Calls

4 calls:

10.0ms	(+ (* a c) (* b d))
31.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series278.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (* a c) (* b d))
140.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
43.0ms	(sqrt (+ (* c c) (* d d)))
54.0ms	(sqrt (+ (* c c) (* d d)))

simplify651.0ms

Counts

100 → 100

Iterations

Iter	Nodes
3	2148
2	772
1	281
0	117

prune1.1s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 22.7b

regimes463.0ms

Accuracy

-15.3% (2.9b remaining)

Error of 26.1b against oracle of 23.2b and baseline of 25.7b

bsearch86.0ms

Steps

Iters	Range		Point
12	-4.923641543343454e+48	-1114767421.731762	-4.876668595961939e+48

simplify3.0ms

Iterations

Iter	Nodes
2	24
1	24
0	18

end0.0ms

sample1.2s

Algorithm

intervals

Results

890.0ms

8467×

body

valid