Details

sample175.0ms

Algorithm

intervals

Results

46.0ms	256×	body	80	valid
43.0ms	256×	body	80	nan

simplify886.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1817
3	373
2	106
1	50
0	28

prune41.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.3b

localize81.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt (+ a t)) t)
0.3b	(/ (/ 2.0 3.0) t)
2.1b	(* z (/ (sqrt (+ a t)) t))
2.9b	(+ (* z (/ (sqrt (+ a t)) t)) (* (- c b) (+ (- a (/ (/ 2.0 3.0) t)) (/ 5.0 6.0))))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
91×	`*-un-lft-identity`
85×	`add-sqr-sqrt`
77×	`add-cube-cbrt`
29×	`sqrt-prod`
25×	`associate-r`
20×	`frac-add` `associate-/l*`
19×	`associate-*r/`
16×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `flip3--` `flip--`
7×	`div-inv` `distribute-lft-out`
6×	`pow1` `associate-/r*` `add-log-exp`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
3×	`associate-l` `unswap-sqr` `associate-/l/`
2×	`associate-+r+` `clear-num` `frac-2neg` `sqrt-div` `associate-*l/` `prod-exp` `cbrt-unprod`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `pow-prod-down` `*-commutative`

Counts

4 → 187

Calls

4 calls:

12.0ms	(/ (sqrt (+ a t)) t)
9.0ms	(/ (/ 2.0 3.0) t)
26.0ms	(* z (/ (sqrt (+ a t)) t))
93.0ms	(+ (* z (/ (sqrt (+ a t)) t)) (* (- c b) (+ (- a (/ (/ 2.0 3.0) t)) (/ 5.0 6.0))))

series517.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(/ (sqrt (+ a t)) t)
31.0ms	(/ (/ 2.0 3.0) t)
108.0ms	(* z (/ (sqrt (+ a t)) t))
275.0ms	(+ (* z (/ (sqrt (+ a t)) t)) (* (- c b) (+ (- a (/ (/ 2.0 3.0) t)) (/ 5.0 6.0))))

simplify1.1s

Counts

199 → 199

Iterations

Iter	Nodes
done	5000
1	1368
0	469

prune2.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.5b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 2.0 3.0) t)
2.1b	(* z (/ (sqrt (+ a t)) t))
3.3b	(+ (* z (/ (sqrt (+ a t)) t)) (* (- c b) (+ (- a (log (exp (/ (/ 2.0 3.0) t)))) (/ 5.0 6.0))))
3.3b	(log (exp (/ (/ 2.0 3.0) t)))

rewrite369.0ms

Algorithm

rewrite-expression-head

Rules

164×	`times-frac`
105×	`add-sqr-sqrt`
103×	`*-un-lft-identity`
97×	`add-cube-cbrt`
44×	`log-pow`
43×	`exp-prod`
25×	`associate-r`
20×	`frac-add`
19×	`associate-*r/`
14×	`add-cbrt-cube` `add-exp-log`
13×	`sqrt-prod` `associate-/l*`
10×	`div-inv`
8×	`frac-times` `flip3--` `flip--`
7×	`pow1`
6×	`add-log-exp`
4×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
3×	`log-prod` `associate-/r` `associate-l*` `distribute-lft-out` `unswap-sqr`
2×	`associate-+r+` `associate-*l/` `prod-exp` `cbrt-unprod`
1×	`distribute-rgt-in` `+-commutative` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `rem-log-exp` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 197

Calls

4 calls:

9.0ms	(/ (/ 2.0 3.0) t)
33.0ms	(* z (/ (sqrt (+ a t)) t))
294.0ms	(+ (* z (/ (sqrt (+ a t)) t)) (* (- c b) (+ (- a (log (exp (/ (/ 2.0 3.0) t)))) (/ 5.0 6.0))))
23.0ms	(log (exp (/ (/ 2.0 3.0) t)))

series469.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ (/ 2.0 3.0) t)
108.0ms	(* z (/ (sqrt (+ a t)) t))
294.0ms	(+ (* z (/ (sqrt (+ a t)) t)) (* (- c b) (+ (- a (log (exp (/ (/ 2.0 3.0) t)))) (/ 5.0 6.0))))
33.0ms	(log (exp (/ (/ 2.0 3.0) t)))

simplify735.0ms

Counts

209 → 209

Iterations

Iter	Nodes
done	5000
1	1378
0	524

prune2.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- c b) (+ (- a (/ 0.6666666666666666 t)) (/ 5.0 6.0)))
0.2b	(/ (sqrt (+ a t)) t)
2.1b	(* z (/ (sqrt (+ a t)) t))
2.9b	(+ (* z (/ (sqrt (+ a t)) t)) (* (- c b) (+ (- a (/ 0.6666666666666666 t)) (/ 5.0 6.0))))

rewrite368.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
49×	`add-sqr-sqrt`
44×	`times-frac`
37×	`add-cube-cbrt`
30×	`associate-r`
29×	`sqrt-prod`
26×	`frac-add`
23×	`associate-*r/`
16×	`frac-times` `flip3--` `flip--`
13×	`add-cbrt-cube` `add-exp-log`
9×	`distribute-lft-out`
8×	`pow1` `flip3-+` `associate-l` `flip-+`
7×	`associate-/l*`
6×	`add-log-exp`
4×	`associate-*l/` `unswap-sqr`
3×	`associate-/r*` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `cbrt-undiv` `associate-+r+` `distribute-lft-in` `sqrt-div` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `difference-of-squares`

Counts

4 → 155

Calls

4 calls:

232.0ms	(* (- c b) (+ (- a (/ 0.6666666666666666 t)) (/ 5.0 6.0)))
12.0ms	(/ (sqrt (+ a t)) t)
24.0ms	(* z (/ (sqrt (+ a t)) t))
87.0ms	(+ (* z (/ (sqrt (+ a t)) t)) (* (- c b) (+ (- a (/ 0.6666666666666666 t)) (/ 5.0 6.0))))

series615.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (- c b) (+ (- a (/ 0.6666666666666666 t)) (/ 5.0 6.0)))
100.0ms	(/ (sqrt (+ a t)) t)
139.0ms	(* z (/ (sqrt (+ a t)) t))
280.0ms	(+ (* z (/ (sqrt (+ a t)) t)) (* (- c b) (+ (- a (/ 0.6666666666666666 t)) (/ 5.0 6.0))))

simplify610.0ms

Counts

167 → 167

Iterations

Iter	Nodes
done	5000
1	1145
0	367

prune1.9s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.4b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))
2.9b	(+ (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))) (* (- c b) (+ (- a (/ 0.6666666666666666 t)) (/ 5.0 6.0))))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
60×	`frac-add`
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`
24×	`flip3--` `flip--`
21×	`associate-*l/`
18×	`add-cbrt-cube`
10×	`flip3-+` `flip-+` `unswap-sqr`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out` `add-log-exp`
2×	`associate-+r+` `pow1/3` `div-inv`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `pow-prod-down` `*-commutative`

Counts

4 → 164

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
98.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))
101.0ms	(+ (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))) (* (- c b) (+ (- a (/ 0.6666666666666666 t)) (/ 5.0 6.0))))

series1.2s

Counts

4 → 12

Calls

4 calls:

334.0ms	(cbrt t)
294.0ms	(cbrt t)
195.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))
352.0ms	(+ (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))) (* (- c b) (+ (- a (/ 0.6666666666666666 t)) (/ 5.0 6.0))))

simplify775.0ms

Counts

176 → 176

Iterations

Iter	Nodes
done	5001
1	1820
0	480

prune2.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes571.0ms

Accuracy

-7.4% (2.1b remaining)

Error of 3.0b against oracle of 0.9b and baseline of 2.8b

bsearch134.0ms

Steps

Iters	Range		Point
5	1.3315093933805551e+241	5.240429025030812e+241	2.1085350951729283e+241

simplify5.0ms

Iterations

Iter	Nodes
done	55
1	55
0	42

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.4s	8000×	body	80	valid
1.4s	7927×	body	80	nan