Details

sample33.0ms

Algorithm

intervals

Results

22.0ms

266×

body

valid

simplify37.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	70
5	70
4	66
3	48
2	36
1	19
0	11

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.7b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
1.1b	(- (* b c) (* a d))
27.7b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite74.0ms

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` `insert-posit16` `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 → 58

Calls

3 calls:

14.0ms	(+ (* c c) (* d d))
15.0ms	(- (* b c) (* a d))
43.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series238.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (* c c) (* d d))
58.0ms	(- (* b c) (* a d))
135.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify1.5s

Counts

67 → 67

Iterations

Iter	Nodes
3	3992
2	1097
1	303
0	102

prune793.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 27.3b

localize50.0ms

Local error

Found 4 expressions with local error:

1.1b	(- (* b c) (* a d))
18.1b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
31.5b	(sqrt (+ (* c c) (* d d)))
31.5b	(sqrt (+ (* c c) (* d d)))

rewrite75.0ms

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`
4×	`insert-posit16`
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 → 90

Calls

4 calls:

7.0ms	(- (* b c) (* a d))
42.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
12.0ms	(sqrt (+ (* c c) (* d d)))
12.0ms	(sqrt (+ (* c c) (* d d)))

series337.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (* b c) (* a d))
162.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
55.0ms	(sqrt (+ (* c c) (* d d)))
59.0ms	(sqrt (+ (* c c) (* d d)))

simplify885.0ms

Counts

102 → 102

Iterations

Iter	Nodes
3	2500
2	898
1	311
0	121

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 25.2b

localize46.0ms

Local error

Found 4 expressions with local error:

1.1b	(- (* b c) (* a d))
18.2b	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
31.5b	(sqrt (+ (* c c) (* d d)))
31.5b	(sqrt (+ (* c c) (* d d)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-cbrt-cube` `sqrt-div` `add-exp-log` `associate-/l*` `add-log-exp`
4×	`insert-posit16`
3×	`associate-/r*` `flip3-+` `flip-+`
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-exp` `div-inv`

Counts

4 → 89

Calls

4 calls:

7.0ms	(- (* b c) (* a d))
31.0ms	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
7.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series273.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (* b c) (* a d))
103.0ms	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
44.0ms	(sqrt (+ (* c c) (* d d)))
46.0ms	(sqrt (+ (* c c) (* d d)))

simplify2.3s

Counts

101 → 101

Iterations

Iter	Nodes
4	4389
3	1792
2	721
1	271
0	116

prune1.4s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 25.2b

localize29.0ms

Local error

Found 4 expressions with local error:

1.1b	(- (* b c) (* a d))
18.1b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
31.5b	(sqrt (+ (* c c) (* d d)))
31.5b	(sqrt (+ (* c c) (* d d)))

rewrite50.0ms

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`
4×	`insert-posit16`
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 → 90

Calls

4 calls:

9.0ms	(- (* b c) (* a d))
27.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
6.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(sqrt (+ (* c c) (* d d)))

series316.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (* b c) (* a d))
182.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
42.0ms	(sqrt (+ (* c c) (* d d)))
39.0ms	(sqrt (+ (* c c) (* d d)))

simplify744.0ms

Counts

102 → 102

Iterations

Iter	Nodes
3	2500
2	898
1	311
0	121

prune1.4s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 25.2b

regimes452.0ms

Accuracy

0% (2.5b remaining)

Error of 25.5b against oracle of 22.9b and baseline of 25.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	20
1	20
0	15

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

8452×

body

valid