Details

sample475.0ms

Algorithm

intervals

Results

156.0ms	1521×	body	80	nan
110.0ms	485×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	3079
4	563
3	190
2	73
1	33
0	17

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
2.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`log-prod` `exp-sum` `add-exp-log`
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×	`associate-/r*` `times-frac` `prod-exp` `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×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `associate--l+` `associate-r/` `div-inv` `flip--` `associate-/l` `associate-/l/`

Counts

4 → 112

Calls

4 calls:

18.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
60.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
162.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series441.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (- t 1.0) (log a))
42.0ms	(* y (log z))
131.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
204.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify799.0ms

Counts

124 → 124

Iterations

Iter	Nodes
done	5001
2	2439
1	624
0	277

prune877.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

201×	`times-frac`
121×	`add-sqr-sqrt`
109×	`*-un-lft-identity`
107×	`add-cube-cbrt`
68×	`add-exp-log`
43×	`div-exp`
29×	`associate-/r*`
27×	`prod-exp`
25×	`add-cbrt-cube`
22×	`unpow-prod-up`
19×	`pow-to-exp` `pow-exp`
18×	`associate-l` `prod-diff` `div-inv`
15×	`unpow-prod-down`
11×	`cbrt-undiv`
9×	`unswap-sqr` `sqr-pow`
7×	`associate-r`
5×	`pow1` `pow-unpow` `associate-/r/`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`cbrt-unprod` `pow-sub`
2×	`clear-num` `sub-neg` `frac-2neg` `associate-*l/`
1×	`pow-pow` `*-commutative` `distribute-lft-out--` `difference-of-squares` `associate-/l/`

Counts

4 → 256

Calls

4 calls:

9.0ms	(pow a (- t 1.0))
22.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
29.0ms	(* (pow a (- t 1.0)) (pow z y))
37.0ms	(/ x (/ y (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))))

series829.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(pow a (- t 1.0))
285.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
175.0ms	(* (pow a (- t 1.0)) (pow z y))
284.0ms	(/ x (/ y (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))))

simplify789.0ms

Counts

268 → 268

Iterations

Iter	Nodes
done	5001
1	1439
0	507

prune1.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (/ (* (/ (pow a t) (pow a 1.0)) (pow z y)) (exp b)))
0.2b	(/ (* (/ (pow a t) (pow a 1.0)) (pow z y)) (exp b))
0.5b	(* (/ (pow a t) (pow a 1.0)) (pow z y))
0.5b	(/ x (/ y (/ (* (/ (pow a t) (pow a 1.0)) (pow z y)) (exp b))))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

343×	`add-exp-log`
310×	`times-frac`
298×	`div-exp`
195×	`add-sqr-sqrt`
136×	`*-un-lft-identity` `add-cube-cbrt`
120×	`prod-exp`
112×	`pow-to-exp` `pow-exp`
73×	`unpow-prod-down`
53×	`associate-l`
52×	`add-cbrt-cube`
43×	`sqr-pow`
36×	`associate-/r*`
30×	`unswap-sqr`
26×	`cbrt-undiv`
24×	`div-inv`
8×	`cbrt-unprod`
7×	`associate-r` `associate-/l*`
6×	`associate-/r/`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`associate-*l/`
1×	`*-commutative` `associate-/l/`

Counts

4 → 425

Calls

4 calls:

27.0ms	(/ y (/ (* (/ (pow a t) (pow a 1.0)) (pow z y)) (exp b)))
30.0ms	(/ (* (/ (pow a t) (pow a 1.0)) (pow z y)) (exp b))
43.0ms	(* (/ (pow a t) (pow a 1.0)) (pow z y))
35.0ms	(/ x (/ y (/ (* (/ (pow a t) (pow a 1.0)) (pow z y)) (exp b))))

series1.5s

Counts

4 → 12

Calls

4 calls:

369.0ms	(/ y (/ (* (/ (pow a t) (pow a 1.0)) (pow z y)) (exp b)))
346.0ms	(/ (* (/ (pow a t) (pow a 1.0)) (pow z y)) (exp b))
257.0ms	(* (/ (pow a t) (pow a 1.0)) (pow z y))
489.0ms	(/ x (/ y (/ (* (/ (pow a t) (pow a 1.0)) (pow z y)) (exp b))))

simplify586.0ms

Counts

437 → 437

Iterations

Iter	Nodes
done	5000
1	1723
0	604

prune3.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- (- (log z))) y (- (* t (- (log a)))))
0.2b	(* t (- (log a)))
1.0b	(* (pow (/ 1 (pow a 1.0)) 1.0) (* (exp (- (fma (- (- (log z))) y (- (* t (- (log a))))) b)) (/ x y)))
4.7b	(* (exp (- (fma (- (- (log z))) y (- (* t (- (log a))))) b)) (/ x y))

rewrite304.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-exp-log`
63×	`prod-exp`
47×	`associate-l`
46×	`add-sqr-sqrt`
39×	`*-un-lft-identity` `pow-exp` `add-cube-cbrt`
34×	`unpow-prod-down`
31×	`times-frac` `div-exp`
26×	`associate-r`
20×	`add-cbrt-cube`
12×	`pow-to-exp` `exp-sum`
10×	`pow1`
9×	`rec-exp` `1-exp` `prod-diff`
8×	`cbrt-unprod`
6×	`log-prod` `distribute-neg-in`
5×	`associate-*r/`
4×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-neg-in` `exp-diff` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`distribute-rgt-in` `distribute-lft-in` `*-commutative` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `pow-prod-down` `associate-*l/` `log-pow` `fma-udef` `div-inv`
1×	`neg-mul-1` `sub-neg` `associate--l+` `distribute-rgt-neg-out`

Counts

4 → 176

Calls

4 calls:

0.0ms	(fma (- (- (log z))) y (- (* t (- (log a)))))
10.0ms	(* t (- (log a)))
214.0ms	(* (pow (/ 1 (pow a 1.0)) 1.0) (* (exp (- (fma (- (- (log z))) y (- (* t (- (log a))))) b)) (/ x y)))
70.0ms	(* (exp (- (fma (- (- (log z))) y (- (* t (- (log a))))) b)) (/ x y))

series987.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(fma (- (- (log z))) y (- (* t (- (log a)))))
46.0ms	(* t (- (log a)))
609.0ms	(* (pow (/ 1 (pow a 1.0)) 1.0) (* (exp (- (fma (- (- (log z))) y (- (* t (- (log a))))) b)) (/ x y)))
208.0ms	(* (exp (- (fma (- (- (log z))) y (- (* t (- (log a))))) b)) (/ x y))

simplify1.3s

Counts

188 → 188

Iterations

Iter	Nodes
done	5000
2	3653
1	957
0	371

prune1.7s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes1.1s

Accuracy

63.9% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 2.0b

bsearch640.0ms

Steps

Iters	Range		Point
10	3.6735823116612524e+85	1.0065470425620452e+98	3.736249666656283e+85
8	-1.4720818240991487e+43	-8.259909428119404e+38	-8.08322652601083e+41

simplify1.1s

Iterations

Iter	Nodes
done	5001
6	1488
5	570
4	261
3	130
2	75
1	56
0	38

end0.0ms

sample13.4s

Algorithm

intervals

Results

6.4s	45456×	body	80	nan
2.5s	15204×	body	80	valid