Details

sample56.0ms

Algorithm

intervals

Results

28.0ms

271×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
1	15
0	11

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.2b	(+ (* a c) (* b d))
22.6b	(/ (+ (* 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/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 42

Calls

2 calls:

7.0ms	(+ (* a c) (* b d))
32.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series170.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(+ (* a c) (* b d))
109.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify2.1s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
3	4513
2	925
1	235
0	83

prune334.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 22.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* a c) (* b d))
14.2b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
27.1b	(sqrt (+ (* c c) (* d d)))
27.1b	(sqrt (+ (* c c) (* d d)))

rewrite84.0ms

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-+`
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 → 84

Calls

4 calls:

12.0ms	(+ (* a c) (* b d))
50.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
7.0ms	(sqrt (+ (* c c) (* d d)))
11.0ms	(sqrt (+ (* c c) (* d d)))

series371.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ (* a c) (* b d))
186.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
48.0ms	(sqrt (+ (* c c) (* d d)))
70.0ms	(sqrt (+ (* c c) (* d d)))

simplify2.3s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
3	4727
2	1003
1	278
0	114

prune653.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 19.6b

localize56.0ms

Local error

Found 4 expressions with local error:

14.2b	(/ (+ (* a c) (* b d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
27.1b	(sqrt (+ (* c c) (* d d)))
27.1b	(sqrt (+ (* c c) (* d d)))
27.1b	(sqrt (+ (* c c) (* d d)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

52.0ms	(/ (+ (* a c) (* b d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
7.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(sqrt (+ (* c c) (* d d)))
8.0ms	(sqrt (+ (* c c) (* d d)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(/ (+ (* a c) (* b d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
52.0ms	(sqrt (+ (* c c) (* d d)))
58.0ms	(sqrt (+ (* c c) (* d d)))
49.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.7s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
3	2619
2	812
1	279
0	107

prune577.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 19.6b

localize33.0ms

Local error

Found 4 expressions with local error:

14.2b	(/ (+ (* a c) (* b d)) (cbrt (* (sqrt (+ (* c c) (* d d))) (+ (* c c) (* d d)))))
27.1b	(sqrt (+ (* c c) (* d d)))
27.1b	(sqrt (+ (* c c) (* d d)))
38.8b	(cbrt (* (sqrt (+ (* c c) (* d d))) (+ (* c c) (* d d))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`cbrt-div` `sqrt-div`
15×	`*-un-lft-identity` `flip3-+` `add-cube-cbrt` `flip-+`
12×	`times-frac`
8×	`frac-times` `associate-/r/`
6×	`pow1` `add-exp-log` `sqrt-prod`
5×	`cbrt-prod` `add-cbrt-cube`
4×	`associate-/r` `associate-l/` `associate-*r/` `add-log-exp`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `pow1/3` `cube-unmult` `div-exp` `rem-cbrt-cube` `div-inv`

Counts

4 → 89

Calls

4 calls:

41.0ms	(/ (+ (* a c) (* b d)) (cbrt (* (sqrt (+ (* c c) (* d d))) (+ (* c c) (* d d)))))
7.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(sqrt (+ (* c c) (* d d)))
24.0ms	(cbrt (* (sqrt (+ (* c c) (* d d))) (+ (* c c) (* d d))))

series291.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(/ (+ (* a c) (* b d)) (cbrt (* (sqrt (+ (* c c) (* d d))) (+ (* c c) (* d d)))))
41.0ms	(sqrt (+ (* c c) (* d d)))
46.0ms	(sqrt (+ (* c c) (* d d)))
54.0ms	(cbrt (* (sqrt (+ (* c c) (* d d))) (+ (* c c) (* d d))))

simplify1.1s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1122
1	348
0	144

prune812.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 19.6b

regimes538.0ms

Accuracy

0% (3.1b remaining)

Error of 26.7b against oracle of 23.6b and baseline of 26.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample1.4s

Algorithm

intervals

Results

959.0ms

8463×

body

valid