Details

sample322.0ms

Algorithm

intervals

Results

132.0ms	1364×	body	80	nan
52.0ms	469×	body	80	valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	17	18
1	33	17
2	73	17
3	189	16
4	514	16
5	1747	16
done	5000	16

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.0b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.5b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite382.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod` `exp-sum`
10×	`pow1` `add-log-exp`
9×	`prod-diff`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `rem-exp-log`
2×	`cbrt-undiv` `exp-diff` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `associate-r/` `associate--l+` `clear-num` `sum-log` `flip--` `div-inv` `associate-/l/` `associate-/l`

Counts

4 → 112

Calls

4 calls:

27.0ms	(* (- t 1.0) (log a))
11.0ms	(* y (log z))
88.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
252.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series567.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (- t 1.0) (log a))
58.0ms	(* y (log z))
180.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
247.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.3s

Counts

124 → 124

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	275	2031
1	580	1829
2	1652	1505
done	5001	1399

prune435.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow a (- t 1.0))
0.2b	(/ (exp b) (pow a (- t 1.0)))
0.5b	(* x (/ (/ (pow z y) (/ (exp b) (pow a (- t 1.0)))) y))
0.7b	(/ (pow z y) (/ (exp b) (pow a (- t 1.0))))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

4560×	`times-frac`
2264×	`add-sqr-sqrt`
2209×	`*-un-lft-identity`
2207×	`add-cube-cbrt`
1258×	`associate-r`
1012×	`unpow-prod-up`
994×	`unpow-prod-down`
828×	`prod-diff`
336×	`sqr-pow`
92×	`sub-neg`
77×	`associate-/r*`
70×	`add-exp-log`
58×	`div-exp`
35×	`div-inv`
34×	`associate-/r/`
31×	`pow-sub`
25×	`add-cbrt-cube`
16×	`pow-to-exp` `pow-exp`
14×	`prod-exp` `unswap-sqr`
10×	`cbrt-undiv` `associate-/l*`
7×	`pow1`
5×	`pow-unpow`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`associate-l`
2×	`frac-2neg` `clear-num`
1×	`pow-pow` `associate-r/` `pow-prod-down` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 1936

Calls

4 calls:

11.0ms	(pow a (- t 1.0))
29.0ms	(/ (exp b) (pow a (- t 1.0)))
698.0ms	(* x (/ (/ (pow z y) (/ (exp b) (pow a (- t 1.0)))) y))
38.0ms	(/ (pow z y) (/ (exp b) (pow a (- t 1.0))))

series748.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(pow a (- t 1.0))
134.0ms	(/ (exp b) (pow a (- t 1.0)))
275.0ms	(* x (/ (/ (pow z y) (/ (exp b) (pow a (- t 1.0)))) y))
245.0ms	(/ (pow z y) (/ (exp b) (pow a (- t 1.0))))

simplify4.0s

Counts

1948 → 1948

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	3394	52461
done	5001	45669

prune11.9s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log a) (- t 1.0))
0.2b	(* (log z) y)
0.5b	(* x (/ (exp (- (* (log z) y) (- b (* (log a) (- t 1.0))))) y))
1.0b	(exp (- (* (log z) y) (- b (* (log a) (- t 1.0)))))

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
39×	`add-cube-cbrt` `associate-r`
30×	`prod-diff`
28×	`times-frac`
24×	`exp-sum`
13×	`add-cbrt-cube`
12×	`pow1` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
10×	`add-log-exp`
6×	`sub-neg`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `associate--r-` `unswap-sqr`
3×	`exp-prod` `diff-log` `associate-r/` `pow-prod-down` `-commutative` `rem-exp-log`
2×	`log-pow`
1×	`cbrt-undiv` `flip3--` `exp-diff` `div-exp` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 142

Calls

4 calls:

34.0ms	(* (log a) (- t 1.0))
9.0ms	(* (log z) y)
170.0ms	(* x (/ (exp (- (* (log z) y) (- b (* (log a) (- t 1.0))))) y))
59.0ms	(exp (- (* (log z) y) (- b (* (log a) (- t 1.0)))))

series743.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (log a) (- t 1.0))
105.0ms	(* (log z) y)
288.0ms	(* x (/ (exp (- (* (log z) y) (- b (* (log a) (- t 1.0))))) y))
212.0ms	(exp (- (* (log z) y) (- b (* (log a) (- t 1.0)))))

simplify1.8s

Counts

154 → 154

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	321	2850
1	702	2288
2	1969	1960
done	5000	1852

prune924.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow a (- t 1.0))
0.2b	(/ (exp b) (pow a (- t 1.0)))
0.4b	(/ x (/ y (/ (pow z y) (/ (exp b) (pow a (- t 1.0))))))
0.7b	(/ (pow z y) (/ (exp b) (pow a (- t 1.0))))

rewrite2.5s

Algorithm

rewrite-expression-head

Rules

19184×	`times-frac`
8505×	`add-sqr-sqrt` `*-un-lft-identity`
8503×	`add-cube-cbrt`
3147×	`unpow-prod-down`
3091×	`unpow-prod-up`
2529×	`prod-diff`
1336×	`associate-/r*`
1049×	`sqr-pow`
281×	`sub-neg`
111×	`associate-/r/` `div-inv`
94×	`pow-sub`
72×	`div-exp`
70×	`add-exp-log`
25×	`add-cbrt-cube`
16×	`pow-to-exp` `pow-exp`
14×	`cbrt-undiv`
13×	`associate-/l*`
5×	`pow1` `pow-unpow`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`pow-pow` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 5701

Calls

4 calls:

8.0ms	(pow a (- t 1.0))
31.0ms	(/ (exp b) (pow a (- t 1.0)))
504.0ms	(/ x (/ y (/ (pow z y) (/ (exp b) (pow a (- t 1.0))))))
52.0ms	(/ (pow z y) (/ (exp b) (pow a (- t 1.0))))

series933.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(pow a (- t 1.0))
146.0ms	(/ (exp b) (pow a (- t 1.0)))
411.0ms	(/ x (/ y (/ (pow z y) (/ (exp b) (pow a (- t 1.0))))))
263.0ms	(/ (pow z y) (/ (exp b) (pow a (- t 1.0))))

simplify4.6s

Counts

5713 → 5713

Iterations

Useful iterations: 0 (909.0ms)

Iter	Nodes	Cost
0	9437	238939
done	9437	238939

prune56.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes467.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	18
1	20	18
done	20	18

end0.0ms

sample14.5s

Algorithm

intervals

Results

7.2s	45591×	body	80	nan
2.3s	15131×	body	80	valid