Details

sample74.0ms

Algorithm

intervals

Results

18.0ms	244×	body	80	nan
18.0ms	256×	body	80	valid

simplify841.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	33
1	50	33
2	106	33
3	373	33
4	1497	33
done	5001	33

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.2b	(/ 2.0 (* t 3.0))
2.3b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.2b	(/ (* z (sqrt (+ t a))) t)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-sub`
16×	`add-exp-log` `add-cbrt-cube`
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` `sqrt-div` `div-exp` `associate-/r` `associate-/l`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `associate-*l/` `associate--l+` `clear-num` `div-inv` `associate-/l/` `unswap-sqr`
1×	`diff-log` `pow-prod-down` `*-commutative` `distribute-lft-out`

Counts

4 → 101

Calls

4 calls:

23.0ms	(* z (sqrt (+ t a)))
7.0ms	(/ 2.0 (* t 3.0))
32.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
17.0ms	(/ (* z (sqrt (+ t a))) t)

series345.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* z (sqrt (+ t a)))
16.0ms	(/ 2.0 (* t 3.0))
187.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
80.0ms	(/ (* z (sqrt (+ t a))) t)

simplify1.6s

Counts

113 → 113

Iterations

Useful iterations: 2 (645.0ms)

Iter	Nodes	Cost
0	344	2616
1	1015	2408
2	4357	2288
done	5000	2288

prune539.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize26.0ms

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)))
2.3b	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite124.0ms

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×	`add-exp-log` `flip3--` `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)
62.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
51.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series695.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt t)
173.0ms	(cbrt t)
112.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
231.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify628.0ms

Counts

181 → 181

Iterations

Useful iterations: done (620.0ms)

Iter	Nodes	Cost
0	486	6783
1	1717	6293
done	5001	5978

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.3b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
1.4b	(log (exp (- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))
2.3b	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 176

Calls

4 calls:

1.0ms	(cbrt t)
61.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
114.0ms	(log (exp (- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))
52.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series747.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt t)
112.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
226.0ms	(log (exp (- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))
232.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify620.0ms

Counts

188 → 188

Iterations

Useful iterations: done (612.0ms)

Iter	Nodes	Cost
0	511	7542
1	1747	7008
done	5000	6602

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 2.0 (* t 3.0))
3.5b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
4.0b	(log (exp (/ 2.0 (* t 3.0))))
5.2b	(/ (* z (sqrt (+ t a))) t)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

7.0ms	(/ 2.0 (* t 3.0))
36.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
10.0ms	(log (exp (/ 2.0 (* t 3.0))))
14.0ms	(/ (* z (sqrt (+ t a))) t)

series312.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ 2.0 (* t 3.0))
196.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
17.0ms	(log (exp (/ 2.0 (* t 3.0))))
82.0ms	(/ (* z (sqrt (+ t a))) t)

simplify1.4s

Counts

101 → 101

Iterations

Useful iterations: 2 (456.0ms)

Iter	Nodes	Cost
0	278	2104
1	763	1813
2	3277	1705
done	5000	1705

prune524.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes355.0ms

Accuracy

0% (2.2b remaining)

Error of 2.7b against oracle of 0.5b and baseline of 2.7b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	42
1	41	42
done	41	42

end0.0ms

sample1.9s

Algorithm

intervals

Results

562.0ms	8000×	body	80	valid
508.0ms	7867×	body	80	nan