Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

275×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	15	15
done	15	15

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.7b	(+ (* a c) (* b d))
26.9b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

10.0ms	(+ (* c c) (* d d))
8.0ms	(+ (* a c) (* b d))
31.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series150.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (* c c) (* d d))
37.0ms	(+ (* a c) (* b d))
85.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify1.2s

Counts

62 → 62

Iterations

Useful iterations: 2 (122.0ms)

Iter	Nodes	Cost
0	98	1090
1	270	1067
2	865	951
3	2507	951
done	5001	951

prune173.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 26.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(+ (* a c) (* b d))
17.2b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
27.9b	(sqrt (+ (* c c) (* d d)))
27.9b	(sqrt (+ (* c c) (* d d)))

rewrite59.0ms

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:

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

series224.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* a c) (* b d))
117.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
36.0ms	(sqrt (+ (* c c) (* d d)))
36.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.2s

Counts

96 → 96

Iterations

Useful iterations: 3 (400.0ms)

Iter	Nodes	Cost
0	116	1780
1	275	1649
2	777	1541
3	2052	1525
done	5000	1525

prune282.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 23.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b	(+ (* a c) (* b d))
17.2b	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
27.9b	(sqrt (+ (* c c) (* d d)))
27.9b	(sqrt (+ (* c c) (* d d)))

rewrite51.0ms

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:

8.0ms	(+ (* a c) (* b d))
25.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
8.0ms	(sqrt (+ (* c c) (* d d)))
8.0ms	(sqrt (+ (* c c) (* d d)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* a c) (* b d))
85.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
40.0ms	(sqrt (+ (* c c) (* d d)))
36.0ms	(sqrt (+ (* c c) (* d d)))

simplify2.9s

Counts

96 → 96

Iterations

Useful iterations: 3 (350.0ms)

Iter	Nodes	Cost
0	114	1774
1	265	1656
2	723	1554
3	1731	1540
4	4577	1540
done	5000	1540

prune304.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 23.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b	(+ (* a c) (* b d))
17.2b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
27.9b	(sqrt (+ (* c c) (* d d)))
27.9b	(sqrt (+ (* c c) (* d d)))

rewrite60.0ms

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:

11.0ms	(+ (* a c) (* b d))
31.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
8.0ms	(sqrt (+ (* c c) (* d d)))
8.0ms	(sqrt (+ (* c c) (* d d)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* a c) (* b d))
120.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
36.0ms	(sqrt (+ (* c c) (* d d)))
37.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.2s

Counts

96 → 96

Iterations

Useful iterations: 3 (397.0ms)

Iter	Nodes	Cost
0	116	1780
1	275	1649
2	777	1541
3	2052	1525
done	5000	1525

prune283.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 23.3b

regimes229.0ms

Accuracy

24.3% (2.3b remaining)

Error of 25.2b against oracle of 22.9b and baseline of 25.9b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	55
1	26	55
done	26	55

end0.0ms

sample597.0ms

Algorithm

intervals

Results

295.0ms

8491×

body

valid