Details

sample48.0ms

Algorithm

intervals

Results

22.0ms

263×

body

valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
1	15
0	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.5b

localize36.0ms

Local error

Found 2 expressions with local error:

0.5b	(+ (* a c) (* b d))
25.0b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

14.0ms	(+ (* a c) (* b d))
85.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series255.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(+ (* a c) (* b d))
191.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify3.3s

Counts

48 → 48

Iterations

Iter	Nodes
done	5001
3	2652
2	796
1	237
0	85

prune525.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 24.8b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (* a c) (* b d))
16.1b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
29.0b	(sqrt (+ (* c c) (* d d)))
29.0b	(sqrt (+ (* c c) (* d d)))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-exp-log` `sqrt-div` `associate-/r*` `add-cbrt-cube` `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` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 84

Calls

4 calls:

17.0ms	(+ (* a c) (* b d))
79.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
16.0ms	(sqrt (+ (* c c) (* d d)))
18.0ms	(sqrt (+ (* c c) (* d d)))

series444.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(+ (* a c) (* b d))
227.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
68.0ms	(sqrt (+ (* c c) (* d d)))
75.0ms	(sqrt (+ (* c c) (* d d)))

simplify3.6s

Counts

96 → 96

Iterations

Iter	Nodes
done	5003
3	2549
2	890
1	280
0	116

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 22.4b

localize61.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (* a c) (* b d))
16.2b	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
29.0b	(sqrt (+ (* c c) (* d d)))
29.0b	(sqrt (+ (* c c) (* d d)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-exp-log` `sqrt-div` `add-cbrt-cube` `associate-/l*` `add-log-exp`
5×	`flip3-+` `flip-+`
3×	`associate-/r*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 84

Calls

4 calls:

18.0ms	(+ (* a c) (* b d))
59.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
16.0ms	(sqrt (+ (* c c) (* d d)))
17.0ms	(sqrt (+ (* c c) (* d d)))

series382.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ (* a c) (* b d))
162.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
77.0ms	(sqrt (+ (* c c) (* d d)))
77.0ms	(sqrt (+ (* c c) (* d d)))

simplify5.9s

Counts

96 → 96

Iterations

Iter	Nodes
done	5037
4	4680
3	1876
2	741
1	270
0	114

prune1.5s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 22.4b

localize50.0ms

Local error

Found 3 expressions with local error:

0.5b	(+ (* a c) (* b d))
1.2b	(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
24.3b	(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
55×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`flip3-+` `flip-+`
6×	`div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `sum-log` `inv-pow`

Counts

3 → 126

Calls

3 calls:

21.0ms	(+ (* a c) (* b d))
51.0ms	(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
65.0ms	(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

series476.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ (* a c) (* b d))
283.0ms	(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
119.0ms	(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

simplify2.5s

Counts

135 → 135

Iterations

Iter	Nodes
done	5001
2	1517
1	532
0	193

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 22.4b

regimes605.0ms

Accuracy

0% (2.9b remaining)

Error of 25.9b against oracle of 23.0b and baseline of 25.9b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.0s

8479×

body

valid