Details

sample57.0ms

Algorithm

intervals

Results

39.0ms

274×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	15
1	15
0	11

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.9b	(+ (* a c) (* b d))
25.0b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite41.0ms

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:

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

series141.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (* a c) (* b d))
96.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify705.0ms

Counts

50 → 50

Iterations

Iter	Nodes
3	2599
2	777
1	236
0	85

prune602.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 24.6b

localize47.0ms

Local error

Found 4 expressions with local error:

0.9b	(+ (* a c) (* b d))
16.3b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
30.1b	(sqrt (+ (* c c) (* d d)))
30.1b	(sqrt (+ (* c c) (* d d)))

rewrite106.0ms

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:

15.0ms	(+ (* a c) (* b d))
64.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
12.0ms	(sqrt (+ (* c c) (* d d)))
13.0ms	(sqrt (+ (* c c) (* d d)))

series299.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (* a c) (* b d))
137.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
53.0ms	(sqrt (+ (* c c) (* d d)))
53.0ms	(sqrt (+ (* c c) (* d d)))

simplify785.0ms

Counts

100 → 100

Iterations

Iter	Nodes
3	2097
2	760
1	280
0	117

prune1.3s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 23.4b

localize32.0ms

Local error

Found 4 expressions with local error:

0.9b	(+ (* a c) (* b d))
16.5b	(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
30.1b	(sqrt (+ (* c c) (* d d)))
30.1b	(sqrt (+ (* c c) (* d d)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`associate-r`
22×	`*-un-lft-identity` `times-frac`
20×	`add-cube-cbrt`
17×	`sqrt-prod`
13×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`pow1`
6×	`flip3-+` `sqrt-div` `flip-+` `add-log-exp`
5×	`unswap-sqr`
4×	`prod-exp` `insert-posit16`
3×	`associate-l`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `associate-/r/` `cbrt-unprod`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `sum-log` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 98

Calls

4 calls:

14.0ms	(+ (* a c) (* b d))
52.0ms	(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series272.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ (* a c) (* b d))
129.0ms	(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
41.0ms	(sqrt (+ (* c c) (* d d)))
49.0ms	(sqrt (+ (* c c) (* d d)))

simplify2.8s

Counts

110 → 110

Iterations

Iter	Nodes
3	3924
2	1208
1	400
0	146

prune1.1s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 23.4b

localize27.0ms

Local error

Found 3 expressions with local error:

0.5b	(/ 1 (+ (* c c) (* d d)))
0.9b	(+ (* a c) (* b d))
24.8b	(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `times-frac`
19×	`add-cube-cbrt`
16×	`add-exp-log`
15×	`associate-r`
10×	`add-cbrt-cube`
6×	`pow1`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`associate-/r` `associate-l` `insert-posit16` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 89

Calls

3 calls:

11.0ms	(/ 1 (+ (* c c) (* d d)))
8.0ms	(+ (* a c) (* b d))
37.0ms	(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

series173.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ 1 (+ (* c c) (* d d)))
43.0ms	(+ (* a c) (* b d))
88.0ms	(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

simplify2.8s

Counts

98 → 98

Iterations

Iter	Nodes
3	4327
2	1384
1	368
0	127

prune757.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 23.4b

regimes304.0ms

Accuracy

0% (2.4b remaining)

Error of 26.0b against oracle of 23.5b and baseline of 26.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	20
1	20
0	15

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

8475×

body

valid