Details

sample44.0ms

Algorithm

intervals

Results

21.0ms

270×

body

valid

simplify93.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	284
1	19	284
2	36	284
3	48	284
4	66	284
5	70	284
done	70	284

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.8b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.7b	(- (* b c) (* a d))
26.4b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite67.0ms

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`
3×	`pow1` `associate-/r` `associate-/l`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

3 → 55

Calls

3 calls:

12.0ms	(+ (* c c) (* d d))
12.0ms	(- (* b c) (* a d))
40.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series234.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (* c c) (* d d))
51.0ms	(- (* b c) (* a d))
143.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify2.7s

Counts

64 → 64

Iterations

Useful iterations: 2 (278.0ms)

Iter	Nodes	Cost
0	99	21625
1	300	19326
2	1053	19206
3	4064	19206
done	5113	19206

prune383.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 26.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.7b	(- (* b c) (* a d))
16.8b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
31.9b	(sqrt (+ (* c c) (* d d)))
31.9b	(sqrt (+ (* c c) (* d d)))

rewrite55.0ms

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`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

4 → 86

Calls

4 calls:

13.0ms	(- (* b c) (* a d))
21.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
7.0ms	(sqrt (+ (* c c) (* d d)))
11.0ms	(sqrt (+ (* c c) (* d d)))

series281.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* b c) (* a d))
143.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
41.0ms	(sqrt (+ (* c c) (* d d)))
53.0ms	(sqrt (+ (* c c) (* d d)))

simplify100.0ms

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	118	35195