Details

sample319.0ms

Algorithm

intervals

Results

141.0ms	1465×	body	80	nan
64.0ms	473×	body	80	valid

simplify2.0s

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.7b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.7b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite414.0ms

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:

42.0ms	(* (- t 1.0) (log a))
18.0ms	(* y (log z))
225.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
123.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series511.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (- t 1.0) (log a))
42.0ms	(* y (log z))
257.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
152.0ms	(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

prune452.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.7b	(* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))
0.7b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

24.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
956.0ms	(* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))
92.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series554.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (- t 1.0) (log a))
45.0ms	(* y (log z))
277.0ms	(* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))
170.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.6s

Counts

142 → 142

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	311	2548
1	696	2222
2	1979	1794
done	5001	1688

prune667.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))
0.2b	(pow a (- t 1.0))
0.3b	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
0.7b	(* (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) (/ 1 y))

rewrite449.0ms

Algorithm

rewrite-expression-head

Rules

251×	`add-exp-log`
193×	`prod-exp`
93×	`add-sqr-sqrt`
82×	`div-exp`
72×	`times-frac` `associate-r`
67×	`*-un-lft-identity`
65×	`add-cube-cbrt`
50×	`add-cbrt-cube`
44×	`unpow-prod-up`
43×	`pow-to-exp` `pow-exp`
36×	`prod-diff`
25×	`cbrt-unprod`
22×	`unpow-prod-down`
14×	`rec-exp` `1-exp`
12×	`pow1` `unswap-sqr` `sqr-pow`
11×	`associate-l`
8×	`cbrt-undiv` `associate-*r/`
5×	`pow-unpow`
4×	`expm1-log1p-u` `sub-neg` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`div-inv`
1×	`frac-times` `pow-pow` `associate-*l/` `un-div-inv` `distribute-lft-out--` `pow-sub` `difference-of-squares`

Counts

4 → 261

Calls

4 calls:

83.0ms	(* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))
11.0ms	(pow a (- t 1.0))
77.0ms	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
251.0ms	(* (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) (/ 1 y))

series1.3s

Counts

4 → 12

Calls

4 calls:

315.0ms	(* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))
69.0ms	(pow a (- t 1.0))
251.0ms	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
692.0ms	(* (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) (/ 1 y))

simplify2.3s

Counts

273 → 273

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	448	5505
1	1154	4847
2	3718	4178
done	5001	4105

prune828.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow a t) (pow a 1.0))
0.1b	(* x (* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b))))
0.3b	(* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b)))
0.7b	(* (* x (* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b)))) (/ 1 y))

rewrite678.0ms

Algorithm

rewrite-expression-head

Rules

754×	`add-exp-log`
508×	`prod-exp`
421×	`times-frac` `div-exp`
281×	`add-sqr-sqrt`
206×	`unpow-prod-down`
187×	`add-cube-cbrt` `*-un-lft-identity`
180×	`pow-to-exp` `pow-exp`
177×	`associate-r`
88×	`sqr-pow`
74×	`add-cbrt-cube`
35×	`rec-exp` `1-exp`
34×	`cbrt-unprod`
33×	`unswap-sqr`
18×	`cbrt-undiv`
11×	`pow1` `associate-l`
8×	`associate-*r/`
7×	`associate-/r` `associate-/l`
6×	`div-inv`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`frac-times` `frac-2neg` `associate-*l/` `clear-num` `un-div-inv` `pow-div`

Counts

4 → 570

Calls

4 calls:

16.0ms	(/ (pow a t) (pow a 1.0))
85.0ms	(* x (* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b))))
97.0ms	(* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b)))
414.0ms	(* (* x (* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b)))) (/ 1 y))

series1.5s

Counts

4 → 12

Calls

4 calls:

208.0ms	(/ (pow a t) (pow a 1.0))
443.0ms	(* x (* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b))))
362.0ms	(* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b)))
489.0ms	(* (* x (* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b)))) (/ 1 y))

simplify1.2s

Counts

582 → 582

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	792	12641
1	1970	10992
done	5000	10248

prune2.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes580.0ms

Accuracy

74.3% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 2.1b

bsearch597.0ms

Steps

Iters	Range		Point
5	1.8160615684089457e+24	6.425963073192148e+24	3.0775084555947397e+24
10	-1.5286153786457643e+101	-3.497588858952651e+82	-7.350566990880655e+82

simplify57.0ms

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	39	75
1	60	56
2	79	53
3	89	53
4	93	53
5	101	53
6	107	53
done	107	53

end0.0ms

sample14.3s

Algorithm

intervals

Results

7.5s	46043×	body	80	nan
2.2s	15319×	body	80	valid