Details

sample154.0ms

Algorithm

intervals

Results

67.0ms	256×	body	80	valid
46.0ms	249×	body	80	nan

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1501
3	373
2	106
1	50
0	28

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
2.1b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.6b	(/ (* z (sqrt (+ t a))) t)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-sub`
16×	`add-cbrt-cube` `add-exp-log`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`flip3--` `flip--`
8×	`frac-times` `associate-*r/`
7×	`associate-r`
6×	`pow1` `times-frac` `associate--r+` `add-log-exp`
5×	`flip3-+` `sqrt-prod` `flip-+`
4×	`cbrt-undiv` `associate-/r` `sqrt-div` `div-exp` `insert-posit16` `associate-/l`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-*l/` `associate--l+` `div-inv` `unswap-sqr` `associate-/l/`
1×	`diff-log` `pow-prod-down` `*-commutative` `distribute-lft-out`

Counts

4 → 105

Calls

4 calls:

16.0ms	(* z (sqrt (+ t a)))
7.0ms	(/ 2.0 (* t 3.0))
47.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
12.0ms	(/ (* z (sqrt (+ t a))) t)

series532.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* z (sqrt (+ t a)))
19.0ms	(/ 2.0 (* t 3.0))
277.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
143.0ms	(/ (* z (sqrt (+ t a))) t)

simplify2.5s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
2	4543
1	1044
0	350

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.6b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
2.1b	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
60×	`frac-sub`
58×	`times-frac`
47×	`*-un-lft-identity`
46×	`associate-r`
39×	`frac-times`
35×	`add-cube-cbrt`
31×	`cbrt-prod`
28×	`sqrt-prod`
27×	`associate-*r/`
25×	`flip3--` `add-exp-log` `flip--`
21×	`associate-*l/`
18×	`add-cbrt-cube`
10×	`unswap-sqr`
9×	`flip3-+` `flip-+`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out` `associate--r+` `add-log-exp`
4×	`insert-posit16`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`pow1/3` `associate--l+` `div-inv`
1×	`diff-log` `pow-prod-down` `*-commutative`

Counts

4 → 173

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
52.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
59.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series954.0ms

Counts

4 → 12

Calls

4 calls:

261.0ms	(cbrt t)
272.0ms	(cbrt t)
132.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
288.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify1.8s

Counts

185 → 185

Iterations

Iter	Nodes
done	5003
1	1858
0	491

prune1.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
2.1b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))))))
5.6b	(/ (* z (sqrt (+ t a))) t)
60.1b	(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `*-un-lft-identity` `frac-sub` `add-cube-cbrt`
7×	`flip3--` `flip--`
6×	`times-frac` `associate--r+` `add-log-exp`
4×	`frac-times` `pow1` `cbrt-undiv` `associate-/r` `div-exp` `associate-r/` `insert-posit16` `associate-/l*`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`clear-num` `frac-2neg` `sqrt-div` `associate-*l/` `prod-exp` `associate--l+` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`flip3-+` `diff-log` `flip-+` `remove-posit16`

Counts

4 → 82

Calls

4 calls:

6.0ms	(/ 2.0 (* t 3.0))
34.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))))))
18.0ms	(/ (* z (sqrt (+ t a))) t)
0.0ms	(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))

series439.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ 2.0 (* t 3.0))
268.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))))))
121.0ms	(/ (* z (sqrt (+ t a))) t)
32.0ms	(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))

simplify1.6s

Counts

94 → 94

Iterations

Iter	Nodes
done	5038
2	3480
1	767
0	263

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize91.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
2.1b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))))))
5.6b	(/ (* z (sqrt (+ t a))) t)
41.4b	(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

92×	`frac-sub`
67×	`frac-times`
49×	`cbrt-div`
39×	`associate-*r/`
37×	`associate-*l/`
22×	`flip3-+` `flip-+`
21×	`flip3--` `flip--`
14×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`times-frac` `associate--r+` `add-log-exp`
4×	`pow1` `cbrt-undiv` `associate-/r` `div-exp` `insert-posit16` `associate-/l`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`clear-num` `frac-2neg` `sqrt-div` `prod-exp` `associate--l+` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`cbrt-prod` `pow1/3` `diff-log` `pow3` `rem-cbrt-cube`

Counts

4 → 133

Calls

4 calls:

13.0ms	(/ 2.0 (* t 3.0))
66.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))))))
12.0ms	(/ (* z (sqrt (+ t a))) t)
97.0ms	(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))

series671.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ 2.0 (* t 3.0))
444.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))))))
128.0ms	(/ (* z (sqrt (+ t a))) t)
66.0ms	(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))

simplify2.1s

Counts

145 → 145

Iterations

Iter	Nodes
done	5000
1	1400
0	513

prune1.9s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes777.0ms

Accuracy

0% (1.9b remaining)

Error of 2.4b against oracle of 0.5b and baseline of 2.4b

bsearch0.0ms

simplify14.0ms

Iterations

Iter	Nodes
done	39
1	39
0	31

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.6s	8000×	body	80	valid
2.2s	7862×	body	80	nan