Details

sample126.0ms

Algorithm

intervals

Results

46.0ms	273×	body	80	nan
27.0ms	256×	body	80	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1302
3	350
2	100
1	50
0	28

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.5b	(/ 2.0 (* t 3.0))
1.3b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.7b	(/ (* z (sqrt (+ t a))) t)

rewrite105.0ms

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` `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 → 101

Calls

4 calls:

33.0ms	(* z (sqrt (+ t a)))
12.0ms	(/ 2.0 (* t 3.0))
45.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
11.0ms	(/ (* z (sqrt (+ t a))) t)

series488.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* z (sqrt (+ t a)))
32.0ms	(/ 2.0 (* t 3.0))
268.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
88.0ms	(/ (* z (sqrt (+ t a))) t)

simplify3.1s

Counts

113 → 113

Iterations

Iter	Nodes
done	5106
2	4349
1	1041
0	346

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize64.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.3b	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
2.5b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite131.0ms

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`
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 → 169

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
53.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
69.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series940.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(cbrt t)
226.0ms	(cbrt t)
306.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
137.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify2.0s

Counts

181 → 181

Iterations

Iter	Nodes
done	5001
1	1849
0	488

prune2.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize93.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 2.0 (* t 3.0))
1.3b	(- (/ (* 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)))))))
5.7b	(/ (* z (sqrt (+ t a))) t)
40.8b	(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))

rewrite180.0ms

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` `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 → 129

Calls

4 calls:

6.0ms	(/ 2.0 (* t 3.0))
64.0ms	(- (/ (* 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)
91.0ms	(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))

series556.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ 2.0 (* t 3.0))
396.0ms	(- (/ (* 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)))))))
90.0ms	(/ (* z (sqrt (+ t a))) t)
42.0ms	(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))

simplify2.1s

Counts

141 → 141

Iterations

Iter	Nodes
done	5001
1	1405
0	509

prune1.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 2.0 (* t 3.0))
0.7b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))) 1/3))))
5.7b	(/ (* z (sqrt (+ t a))) t)
40.6b	(pow (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))) 1/3)

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

186×	`add-exp-log`
87×	`prod-exp`
60×	`div-exp`
31×	`pow-exp`
24×	`pow1`
14×	`add-cbrt-cube`
12×	`pow-pow`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`frac-sub`
7×	`flip3--` `flip--`
6×	`times-frac` `pow-plus` `pow-prod-up` `associate--r+` `add-log-exp`
4×	`frac-times` `cbrt-undiv` `associate-/r` `associate-r/` `associate-/l*`
3×	`distribute-rgt-in` `pow-unpow` `sub-neg` `distribute-lft-in` `pow-prod-down`
2×	`pow2` `clear-num` `frac-2neg` `sqrt-div` `associate-*l/` `associate--l+` `pow-sqr` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`pow-to-exp` `unpow-prod-down` `flip3-+` `unpow1/3` `diff-log` `pow3` `flip-+` `sqr-pow`

Counts

4 → 127

Calls

4 calls:

7.0ms	(/ 2.0 (* t 3.0))
81.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))) 1/3))))
17.0ms	(/ (* z (sqrt (+ t a))) t)
129.0ms	(pow (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))) 1/3)

series954.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ 2.0 (* t 3.0))
495.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))) 1/3))))
109.0ms	(/ (* z (sqrt (+ t a))) t)
326.0ms	(pow (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))) 1/3)

simplify2.1s

Counts

139 → 139

Iterations

Iter	Nodes
done	5001
2	3882
1	1002
0	373

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes731.0ms

Accuracy

0% (2.1b remaining)

Error of 2.8b against oracle of 0.7b and baseline of 2.8b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	39
1	39
0	31

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.7s	7854×	body	80	nan
1.3s	8000×	body	80	valid