Details

sample328.0ms

Algorithm

intervals

Results

133.0ms	1465×	body	80	nan
89.0ms	473×	body	80	valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (52.0ms)

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize48.0ms

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))

rewrite536.0ms

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:

39.0ms	(* (- t 1.0) (log a))
17.0ms	(* y (log z))
311.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
163.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series553.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (- t 1.0) (log a))
46.0ms	(* y (log z))
249.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
188.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.7s

Counts

124 → 124

Iterations

Useful iterations: done (1.7s)

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

prune634.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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))

rewrite1.2s

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))
17.0ms	(* y (log z))
1.1s	(* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))
129.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series595.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (- t 1.0) (log a))
58.0ms	(* y (log z))
262.0ms	(* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))
185.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.9s

Counts

142 → 142

Iterations

Useful iterations: done (1.9s)

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

prune750.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite459.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 261

Calls

4 calls:

67.0ms	(* x (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)))
8.0ms	(pow a (- t 1.0))
79.0ms	(* (/ (pow a (- t 1.0)) (exp b)) (pow z y))
284.0ms	(* (* x (* (/ (pow a (- t 1.0)) (exp b)) (pow z y))) (/ 1 y))

series1.1s

Counts

4 → 12

Calls

4 calls:

348.0ms	(* x (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)))
97.0ms	(pow a (- t 1.0))
259.0ms	(* (/ (pow a (- t 1.0)) (exp b)) (pow z y))
385.0ms	(* (* x (* (/ (pow a (- t 1.0)) (exp b)) (pow z y))) (/ 1 y))

simplify2.5s

Counts

273 → 273

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	408	5441
1	1065	4839
2	3247	4140
done	5001	4077

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite718.0ms

Algorithm

rewrite-expression-head

Rules

754×	`add-exp-log`
679×	`prod-exp`
250×	`div-exp`
180×	`pow-to-exp` `pow-exp`
74×	`add-cbrt-cube`
39×	`cbrt-unprod`
37×	`add-sqr-sqrt`
35×	`rec-exp` `1-exp`
28×	`associate-r`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`associate-l`
16×	`unpow-prod-down`
13×	`cbrt-undiv`
12×	`times-frac` `unswap-sqr`
11×	`pow1`
10×	`sqr-pow`
6×	`associate-*r/`
5×	`associate-*l/`
4×	`expm1-log1p-u` `pow-prod-down` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`pow-neg` `un-div-inv` `div-inv`
1×	`neg-sub0` `frac-times` `pow-prod-up` `pow-sub`

Counts

4 → 345

Calls

4 calls:

36.0ms	(* (pow a t) (pow a (- 1.0)))
124.0ms	(* x (* (/ (* (pow a t) (pow a (- 1.0))) (exp b)) (pow z y)))
57.0ms	(* (/ (* (pow a t) (pow a (- 1.0))) (exp b)) (pow z y))
449.0ms	(* (* x (* (/ (* (pow a t) (pow a (- 1.0))) (exp b)) (pow z y))) (/ 1 y))

series1.9s

Counts

4 → 12

Calls

4 calls:

552.0ms	(* (pow a t) (pow a (- 1.0)))
488.0ms	(* x (* (/ (* (pow a t) (pow a (- 1.0))) (exp b)) (pow z y)))
345.0ms	(* (/ (* (pow a t) (pow a (- 1.0))) (exp b)) (pow z y))
560.0ms	(* (* x (* (/ (* (pow a t) (pow a (- 1.0))) (exp b)) (pow z y))) (/ 1 y))

simplify2.1s

Counts

357 → 357

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	392	8177
1	1053	6844
2	3554	5848
done	5000	5696

prune783.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes471.0ms

Accuracy

0% (2.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample14.4s

Algorithm

intervals

Results

7.9s	46043×	body	80	nan
2.8s	15319×	body	80	valid