Details

sample70.0ms

Algorithm

intervals

Results

50.0ms

273×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
1	15
0	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.4b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.5b	(+ (* a c) (* b d))
24.4b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
4×	`flip3-+` `flip-+`
3×	`pow1` `associate-/r` `insert-posit16` `associate-/l`
2×	`+-commutative` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 56

Calls

3 calls:

8.0ms	(+ (* c c) (* d d))
20.0ms	(+ (* a c) (* b d))
33.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series190.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (* c c) (* d d))
42.0ms	(+ (* a c) (* b d))
99.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify912.0ms

Counts

65 → 65

Iterations

Iter	Nodes
done	2004
3	2004
2	1000
1	282
0	99

prune344.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 24.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (* a c) (* b d))
13.1b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
30.3b	(sqrt (+ (* c c) (* d d)))
30.3b	(sqrt (+ (* c c) (* d d)))

rewrite83.0ms

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:

13.0ms	(+ (* a c) (* b d))
54.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
7.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(sqrt (+ (* c c) (* d d)))

series316.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (* a c) (* b d))
148.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
57.0ms	(sqrt (+ (* c c) (* d d)))
55.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.1s

Counts

100 → 100

Iterations

Iter	Nodes
done	2000
3	2000
2	772
1	281
0	117

prune522.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 21.5b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.5b	(+ (* a c) (* b d))
0.5b	(/ 1 (+ (* c c) (* d d)))
24.1b	(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

8.0ms	(+ (* c c) (* d d))
14.0ms	(+ (* a c) (* b d))
19.0ms	(/ 1 (+ (* c c) (* d d)))
56.0ms	(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

series236.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* c c) (* d d))
42.0ms	(+ (* a c) (* b d))
47.0ms	(/ 1 (+ (* c c) (* d d)))
115.0ms	(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

simplify1.1s

Counts

113 → 113

Iterations

Iter	Nodes
done	2003
3	2003
2	1475
1	413
0	141

prune527.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 21.5b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (* a c) (* b d))
13.1b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
30.3b	(sqrt (+ (* c c) (* d d)))
30.3b	(sqrt (+ (* c c) (* d d)))

rewrite53.0ms

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:

8.0ms	(+ (* a c) (* b d))
30.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
7.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(sqrt (+ (* c c) (* d d)))

series340.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (* a c) (* b d))
159.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
60.0ms	(sqrt (+ (* c c) (* d d)))
67.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.1s

Counts

100 → 100

Iterations

Iter	Nodes
done	2000
3	2000
2	772
1	281
0	117

prune518.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 21.5b

regimes470.0ms

Accuracy

0% (2.6b remaining)

Error of 25.5b against oracle of 22.9b and baseline of 25.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.3s

8496×

body

valid