Details

sample73.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
19.0ms	282×	body	80	nan

simplify448.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	33
1	50	33
2	105	33
3	332	33
4	1301	33
done	5002	33

prune5.0ms

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	(/ 2.0 (* t 3.0))
0.2b	(* z (sqrt (+ t a)))
2.1b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.8b	(/ (* z (sqrt (+ t a))) t)

rewrite45.0ms

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:

3.0ms	(/ 2.0 (* t 3.0))
11.0ms	(* z (sqrt (+ t a)))
21.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms	(/ (* z (sqrt (+ t a))) t)

series331.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ 2.0 (* t 3.0))
60.0ms	(* z (sqrt (+ t a)))
174.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
79.0ms	(/ (* z (sqrt (+ t a))) t)

simplify1.3s

Counts

113 → 113

Iterations

Useful iterations: 2 (316.0ms)

Iter	Nodes	Cost
0	344	2616
1	1020	2412
2	4807	2288
done	5000	2288

prune545.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
2.0b	(* (/ 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)))))

rewrite78.0ms

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:

0.0ms	(cbrt t)
1.0ms	(cbrt t)
40.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
27.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series670.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt t)
175.0ms	(cbrt t)
105.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
215.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify473.0ms

Counts

181 → 181

Iterations

Useful iterations: done (465.0ms)

Iter	Nodes	Cost
0	486	6783
1	1743	6331
done	5000	6215

prune994.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (/ 2.0 (* t 3.0)) 3)
2.1b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
5.8b	(/ (* z (sqrt (+ t a))) t)
38.5b	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 121

Calls

4 calls:

4.0ms	(pow (/ 2.0 (* t 3.0)) 3)
20.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
9.0ms	(/ (* z (sqrt (+ t a))) t)
3.0ms	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series324.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(pow (/ 2.0 (* t 3.0)) 3)
179.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
81.0ms	(/ (* z (sqrt (+ t a))) t)
16.0ms	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

simplify1.3s

Counts

133 → 133

Iterations

Useful iterations: 2 (334.0ms)

Iter	Nodes	Cost
0	342	3221
1	1030	2627
2	4936	2475
done	5000	2475

prune632.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

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))
1.5b	(- (* c (+ a 0.8333333333333334)) (* a b))

rewrite31.0ms

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:

14.0ms	(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
9.0ms	(* c (+ a 0.8333333333333334))
5.0ms	(- (* c (+ a 0.8333333333333334)) (* a b))

series137.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
32.0ms	(* c (+ a 0.8333333333333334))
40.0ms	(- (* c (+ a 0.8333333333333334)) (* a b))

simplify1.8s

Counts

72 → 72

Iterations

Useful iterations: 3 (440.0ms)

Iter	Nodes	Cost
0	126	886
1	325	846
2	1107	763
3	3731	761
done	5000	761

prune179.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes262.0ms

Accuracy

1.8% (6.4b remaining)

Error of 7.0b against oracle of 0.7b and baseline of 7.1b

bsearch97.0ms

Steps

Iters	Range		Point
7	3.6368078384146387e+232	2.2401817797261862e+234	3.4547725240085537e+233

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	58
1	58	58
done	58	58

end0.0ms

sample1.9s

Algorithm

intervals

Results

708.0ms	7957×	body	80	nan
578.0ms	8000×	body	80	valid