Details

sample35.0ms

Algorithm

intervals

Results

13.0ms

273×

body

valid

simplify123.0ms

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.4b

localize27.0ms

Local error

Found 2 expressions with local error:

0.2b	(- (* b c) (* a d))
24.9b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `flip-+` `div-inv`

Counts

2 → 46

Calls

2 calls:

13.0ms	(- (* b c) (* a d))
36.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series303.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(- (* b c) (* a d))
240.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify4.2s

Counts

52 → 52

Iterations

Iter	Nodes
done	5002
3	2840
2	838
1	256
0	88

prune631.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 24.7b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b c) (* a d))
15.0b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
29.3b	(sqrt (+ (* c c) (* d d)))
29.3b	(sqrt (+ (* c c) (* d d)))

rewrite73.0ms

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:

10.0ms	(- (* b c) (* a d))
37.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
10.0ms	(sqrt (+ (* c c) (* d d)))
11.0ms	(sqrt (+ (* c c) (* d d)))

series461.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(- (* b c) (* a d))
260.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
52.0ms	(sqrt (+ (* c c) (* d d)))
55.0ms	(sqrt (+ (* c c) (* d d)))

simplify3.1s

Counts

102 → 102

Iterations

Iter	Nodes
done	5002
3	2615
2	902
1	311
0	121

prune1.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 21.7b

localize93.0ms

Local error

Found 4 expressions with local error:

29.3b	(sqrt (+ (* c c) (* d d)))
29.3b	(sqrt (+ (* c c) (* d d)))
29.3b	(sqrt (+ (* c c) (* d d)))
29.3b	(sqrt (+ (* c c) (* d d)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
4×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

10.0ms	(sqrt (+ (* c c) (* d d)))
10.0ms	(sqrt (+ (* c c) (* d d)))
10.0ms	(sqrt (+ (* c c) (* d d)))
10.0ms	(sqrt (+ (* c c) (* d d)))

series194.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sqrt (+ (* c c) (* d d)))
50.0ms	(sqrt (+ (* c c) (* d d)))
47.0ms	(sqrt (+ (* c c) (* d d)))
49.0ms	(sqrt (+ (* c c) (* d d)))

simplify4.0s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
5	3240
4	991
3	433
2	196
1	92
0	39

prune864.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 21.7b

localize54.0ms

Local error

Found 4 expressions with local error:

10.3b	(sqrt (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))
10.3b	(sqrt (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))
24.9b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
24.9b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
38×	`times-frac`
34×	`*-un-lft-identity` `add-cube-cbrt`
30×	`sqrt-prod`
8×	`add-cbrt-cube` `add-exp-log` `associate-/r/`
6×	`pow1` `associate-/r` `associate-/l`
4×	`rem-sqrt-square` `flip3-+` `flip-+` `insert-posit16` `div-inv` `add-log-exp` `associate-/l/`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `flip3--` `pow1/2` `sqrt-div` `div-sub` `div-exp` `flip--`

Counts

4 → 122

Calls

4 calls:

21.0ms	(sqrt (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))
21.0ms	(sqrt (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))
32.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
30.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series935.0ms

Counts

4 → 12

Calls

4 calls:

436.0ms	(sqrt (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))
192.0ms	(sqrt (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))
152.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
155.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify3.3s

Counts

134 → 134

Iterations

Iter	Nodes
done	5003
3	2694
2	822
1	284
0	118

prune1.3s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 21.7b

regimes1.1s

Accuracy

3.5% (2.8b remaining)

Error of 26.0b against oracle of 23.1b and baseline of 26.1b

bsearch57.0ms

Steps

Iters	Range		Point
9	1.36934023547096e+82	3.0707098332476226e+88	7.672387965946081e+87

simplify7.0ms

Iterations

Iter	Nodes
done	23
1	23
0	18

end0.0ms

sample789.0ms

Algorithm

intervals

Results

487.0ms

8506×

body

valid