Details

sample72.0ms

Algorithm

intervals

Results

17.0ms	276×	body	80	nan
17.0ms	256×	body	80	valid

simplify961.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
1.1b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.1b	(/ (* z (sqrt (+ t a))) t)

rewrite81.0ms

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:

21.0ms	(* z (sqrt (+ t a)))
7.0ms	(/ 2.0 (* t 3.0))
36.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
14.0ms	(/ (* z (sqrt (+ t a))) t)

series357.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* z (sqrt (+ t a)))
17.0ms	(/ 2.0 (* t 3.0))
194.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
81.0ms	(/ (* z (sqrt (+ t a))) t)

simplify1.5s

Counts

113 → 113

Iterations

Useful iterations: 2 (605.0ms)

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

prune545.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.1b	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
2.2b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

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)
49.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
64.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series726.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt t)
185.0ms	(cbrt t)
244.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
113.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify613.0ms

Counts

181 → 181

Iterations

Useful iterations: done (604.0ms)

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

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
1.1b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
5.1b	(/ (* z (sqrt (+ t a))) t)
38.0b	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod` `frac-sub`
14×	`add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`flip3--` `flip--`
8×	`frac-times`
7×	`cube-div` `unpow-prod-down` `cbrt-div` `cube-prod`
6×	`associate-*r/` `associate--r+` `add-log-exp`
4×	`pow1` `cbrt-undiv` `flip3-+` `div-exp` `associate-/r` `flip-+` `div-inv` `associate-/l`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`frac-2neg` `sqrt-div` `associate-*l/` `prod-exp` `associate--l+` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`cube-mult` `pow1/3` `diff-log` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 106

Calls

4 calls:

7.0ms	(/ 2.0 (* t 3.0))
44.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
14.0ms	(/ (* z (sqrt (+ t a))) t)
6.0ms	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series319.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ 2.0 (* t 3.0))
200.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
85.0ms	(/ (* z (sqrt (+ t a))) t)
18.0ms	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

simplify1.7s

Counts

118 → 118

Iterations

Useful iterations: 2 (707.0ms)

Iter	Nodes	Cost
0	343	3001
1	1021	2425
2	4562	2305
done	5001	2305

prune578.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
0.0b	(* c (+ a 0.8333333333333334))
0.5b	(- (* c (+ a 0.8333333333333334)) (* a b))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-r`
11×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
8×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
7×	`pow1` `add-cube-cbrt` `add-cbrt-cube`
6×	`add-exp-log` `associate-l` `associate--l+`
5×	`add-log-exp`
3×	`sub-neg`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `flip3-+` `diff-log` `flip--` `flip-+` `distribute-lft-out`

Counts

3 → 63

Calls

3 calls:

33.0ms	(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
22.0ms	(* c (+ a 0.8333333333333334))
13.0ms	(- (* c (+ a 0.8333333333333334)) (* a b))

series149.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
33.0ms	(* c (+ a 0.8333333333333334))
41.0ms	(- (* c (+ a 0.8333333333333334)) (* a b))

simplify1.5s

Counts

72 → 72

Iterations

Useful iterations: 3 (604.0ms)

Iter	Nodes	Cost
0	126	886
1	313	846
2	873	763
3	3428	761
done	5002	761

prune201.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes256.0ms

Accuracy

-62.5% (2.4b remaining)

Error of 3.8b against oracle of 1.4b and baseline of 2.9b

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	50	128
1	66	89
done	66	89

end0.0ms

sample1.9s

Algorithm

intervals

Results

544.0ms	8000×	body	80	valid
507.0ms	7940×	body	80	nan