Details

sample47.0ms

Algorithm

intervals

Results

25.0ms

262×

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: 22.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.7b	(+ (* a c) (* b d))
21.9b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite114.0ms

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:

16.0ms	(+ (* c c) (* d d))
29.0ms	(+ (* a c) (* b d))
65.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series215.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (* c c) (* d d))
44.0ms	(+ (* a c) (* b d))
127.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify952.0ms

Counts

62 → 62

Iterations

Useful iterations: done (950.0ms)

Iter	Nodes	Cost
0	98	1090
1	297	1067
2	1661	953
done	5001	951

prune245.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 21.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.7b	(+ (* a c) (* b d))
14.5b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
27.1b	(sqrt (+ (* c c) (* d d)))
27.1b	(sqrt (+ (* c c) (* d d)))

rewrite89.0ms

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))
62.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
8.0ms	(sqrt (+ (* c c) (* d d)))
9.0ms	(sqrt (+ (* c c) (* d d)))

series350.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (* a c) (* b d))
167.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
65.0ms	(sqrt (+ (* c c) (* d d)))
63.0ms	(sqrt (+ (* c c) (* d d)))

simplify861.0ms

Counts

96 → 96

Iterations

Useful iterations: done (858.0ms)

Iter	Nodes	Cost
0	116	1780
1	280	1649
2	1127	1543
done	5001	1541

prune479.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 18.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.7b	(+ (* a c) (* b d))
14.5b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
27.1b	(sqrt (+ (* c c) (* d d)))
27.1b	(sqrt (+ (* c c) (* d d)))

rewrite94.0ms

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:

13.0ms	(+ (* a c) (* b d))
52.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
11.0ms	(sqrt (+ (* c c) (* d d)))
14.0ms	(sqrt (+ (* c c) (* d d)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (* a c) (* b d))
163.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
67.0ms	(sqrt (+ (* c c) (* d d)))
53.0ms	(sqrt (+ (* c c) (* d d)))

simplify833.0ms

Counts

96 → 96

Iterations

Useful iterations: done (829.0ms)

Iter	Nodes	Cost
0	116	1780
1	280	1649
2	1127	1543
done	5001	1541

prune389.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 18.4b

localize35.0ms

Local error

Found 4 expressions with local error:

14.5b	(/ (+ (* a c) (* b d)) (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)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

53.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
8.0ms	(sqrt (+ (* c c) (* d d)))
8.0ms	(sqrt (+ (* c c) (* d d)))
8.0ms	(sqrt (+ (* c c) (* d d)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
40.0ms	(sqrt (+ (* c c) (* d d)))
50.0ms	(sqrt (+ (* c c) (* d d)))
53.0ms	(sqrt (+ (* c c) (* d d)))

simplify2.4s

Counts

100 → 100

Iterations

Useful iterations: 3 (733.0ms)

Iter	Nodes	Cost
0	105	1833
1	249	1680
2	895	1572
3	4467	1548
done	5001	1548

prune444.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 18.4b

regimes281.0ms

Accuracy

14.2% (2.4b remaining)

Error of 25.8b against oracle of 23.4b and baseline of 26.2b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	54
1	25	54
done	25	54

end0.0ms

sample937.0ms

Algorithm

intervals

Results

570.0ms

8441×

body

valid