Details

sample420.0ms

Algorithm

intervals

Results

204.0ms	1482×	body	80	nan
54.0ms	486×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (31.0ms)

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.6b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite413.0ms

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:

36.0ms	(* (- t 1.0) (log a))
13.0ms	(* y (log z))
260.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
98.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series458.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (- t 1.0) (log a))
40.0ms	(* y (log z))
207.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
149.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.3s

Counts

124 → 124

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	275	2031
1	580	1829
2	1657	1505
done	5000	1399

prune576.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.6b	(/ (* x (* 1 (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite937.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

36.0ms	(* (- t 1.0) (log a))
13.0ms	(* y (log z))
748.0ms	(/ (* x (* 1 (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) y)
134.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series521.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (- t 1.0) (log a))
39.0ms	(* y (log z))
244.0ms	(/ (* x (* 1 (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) y)
177.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.4s

Counts

127 → 127

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	291	2196
1	621	1917
2	1789	1549
done	5001	1449

prune492.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow a (- t 1.0))
0.5b	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
0.6b	(/ (* (- x) (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) (- y))
0.7b	(/ (pow a (- t 1.0)) (exp b))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

142×	`add-sqr-sqrt`
127×	`times-frac`
116×	`*-un-lft-identity`
114×	`add-cube-cbrt`
88×	`unpow-prod-up`
72×	`prod-diff`
70×	`add-exp-log`
58×	`associate-r`
37×	`prod-exp`
35×	`div-exp`
34×	`unpow-prod-down`
25×	`add-cbrt-cube`
19×	`associate-/l*`
16×	`pow-to-exp` `pow-exp` `sqr-pow`
13×	`associate-/r*`
12×	`unswap-sqr`
8×	`sub-neg`
7×	`cbrt-undiv` `associate-l` `cbrt-unprod`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
5×	`pow1` `pow-unpow`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-*r/` `div-inv`
2×	`neg-mul-1` `frac-2neg` `clear-num` `associate-/l/` `pow-sub`
1×	`distribute-lft-neg-out` `pow-pow` `distribute-frac-neg` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 280

Calls

4 calls:

10.0ms	(pow a (- t 1.0))
58.0ms	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
67.0ms	(/ (* (- x) (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) (- y))
26.0ms	(/ (pow a (- t 1.0)) (exp b))

series769.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(pow a (- t 1.0))
250.0ms	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
332.0ms	(/ (* (- x) (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) (- y))
106.0ms	(/ (pow a (- t 1.0)) (exp b))

simplify2.2s

Counts

292 → 292

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	451	5811
1	1110	5083
2	3941	4504
done	5001	4412

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (- y) (* (- x) (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))))
0.5b	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
0.5b	(/ (- y) (* (- x) (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))
0.7b	(/ (pow a (- t 1.0)) (exp b))

rewrite332.0ms

Algorithm

rewrite-expression-head

Rules

225×	`add-exp-log`
212×	`times-frac`
164×	`add-sqr-sqrt`
138×	`add-cube-cbrt` `*-un-lft-identity`
134×	`div-exp`
112×	`prod-exp`
77×	`unpow-prod-up`
63×	`prod-diff`
58×	`associate-r`
45×	`add-cbrt-cube`
36×	`pow-to-exp` `pow-exp`
31×	`unpow-prod-down` `associate-/l*`
19×	`associate-/r*`
18×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
17×	`cbrt-undiv`
15×	`rec-exp` `1-exp` `sqr-pow`
12×	`cbrt-unprod` `unswap-sqr`
11×	`associate-*r/`
8×	`div-inv`
7×	`sub-neg` `associate-l`
6×	`neg-mul-1` `associate-/r/`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`neg-sub0` `pow-flip` `div-sub` `distribute-frac-neg` `*-commutative` `associate-/l/` `inv-pow` `pow-sub`

Counts

4 → 376

Calls

4 calls:

123.0ms	(/ 1 (/ (- y) (* (- x) (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))))
66.0ms	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
79.0ms	(/ (- y) (* (- x) (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))
25.0ms	(/ (pow a (- t 1.0)) (exp b))

series935.0ms

Counts

4 → 12

Calls

4 calls:

308.0ms	(/ 1 (/ (- y) (* (- x) (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))))
219.0ms	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
298.0ms	(/ (- y) (* (- x) (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))
110.0ms	(/ (pow a (- t 1.0)) (exp b))

simplify2.8s

Counts

388 → 388

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	576	8710
1	1398	7717
2	4415	6750
done	5000	6655

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes388.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.1b and baseline of 2.0b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	19	20
1	26	18
done	26	18

end0.0ms

sample13.2s

Algorithm

intervals

Results

5.8s	45302×	body	80	nan
2.9s	15154×	body	80	valid