Details

sample314.0ms

Algorithm

intervals

Results

104.0ms	1482×	body	80	nan
82.0ms	472×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	17	18
1	32	18
2	65	18
3	179	16
4	487	16
5	1671	16
done	5001	16

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- 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)

rewrite412.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
3×	`times-frac` `exp-sum` `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 → 95

Calls

4 calls:

33.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
105.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
261.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series527.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (- t 1.0) (log a))
46.0ms	(* y (log z))
166.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
227.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.4s

Counts

107 → 107

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	231	1531
1	493	1495
2	1466	1209
done	5000	1155

prune525.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

131×	`add-exp-log`
65×	`prod-exp`
61×	`div-exp`
36×	`add-cbrt-cube`
35×	`add-sqr-sqrt`
31×	`pow-to-exp` `pow-exp`
23×	`*-un-lft-identity` `times-frac`
21×	`add-cube-cbrt`
15×	`unpow-prod-down`
13×	`cbrt-undiv`
9×	`associate-l` `cbrt-unprod` `unswap-sqr` `sqr-pow`
7×	`associate-r` `associate-/r*` `pow-sub`
6×	`associate-*l/` `associate-/r/` `div-inv`
5×	`pow1` `pow-unpow`
4×	`unpow-prod-up` `associate-/l*` `add-log-exp`
2×	`sub-neg` `frac-2neg` `clear-num`
1×	`pow-pow` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 168

Calls

4 calls:

9.0ms	(pow a (- t 1.0))
31.0ms	(/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y)))
31.0ms	(* (pow a (- t 1.0)) (pow z y))
36.0ms	(/ x (/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y))))

series755.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(pow a (- t 1.0))
211.0ms	(/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y)))
183.0ms	(* (pow a (- t 1.0)) (pow z y))
298.0ms	(/ x (/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y))))

simplify1.5s

Counts

180 → 180

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	283	3364
1	753	3156
2	2935	2797
done	5000	2745

prune582.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp b))
0.5b	(/ (* y (exp b)) (* (pow a t) (pow z y)))
0.7b	(* (pow a t) (pow z y))
0.7b	(/ x (* (/ (* y (exp b)) (* (pow a t) (pow z y))) (pow a 1.0)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

311×	`add-exp-log`
185×	`prod-exp`
144×	`div-exp`
75×	`pow-to-exp` `pow-exp`
45×	`add-cbrt-cube`
26×	`add-sqr-sqrt`
15×	`cbrt-unprod`
14×	`cbrt-undiv`
12×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
10×	`associate-r` `associate-l` `unswap-sqr`
8×	`sqr-pow`
6×	`pow1`
4×	`times-frac` `associate-/l*` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r` `-commutative` `div-inv`
1×	`pow-prod-down` `associate-*l/` `associate-/r/`

Counts

4 → 184

Calls

4 calls:

17.0ms	(* y (exp b))
27.0ms	(/ (* y (exp b)) (* (pow a t) (pow z y)))
26.0ms	(* (pow a t) (pow z y))
66.0ms	(/ x (* (/ (* y (exp b)) (* (pow a t) (pow z y))) (pow a 1.0)))

series845.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* y (exp b))
181.0ms	(/ (* y (exp b)) (* (pow a t) (pow z y)))
157.0ms	(* (pow a t) (pow z y))
481.0ms	(/ x (* (/ (* y (exp b)) (* (pow a t) (pow z y))) (pow a 1.0)))

simplify1.5s

Counts

196 → 196

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	283	3616
1	796	3339
2	2982	2899
done	5000	2871

prune486.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (pow a t) (pow z y))
1.7b	(* (pow (/ 1 (pow a 1.0)) 1.0) (* (/ x y) (exp (- (- (- (log (* (pow a t) (pow z y))))) b))))
3.7b	(* (/ x y) (exp (- (- (- (log (* (pow a t) (pow z y))))) b)))
4.6b	(log (* (pow a t) (pow z y)))

rewrite4.2s

Algorithm

rewrite-expression-head

Rules

113×	`add-exp-log`
80×	`prod-exp`
51×	`pow-exp`
49×	`associate-l`
48×	`add-sqr-sqrt`
46×	`unpow-prod-down`
31×	`add-cube-cbrt` `*-un-lft-identity` `times-frac` `div-exp`
24×	`pow-to-exp`
20×	`add-cbrt-cube`
14×	`associate-r`
12×	`sqr-pow`
11×	`unswap-sqr`
10×	`rem-log-exp`
9×	`rec-exp` `1-exp`
8×	`cbrt-unprod`
7×	`pow1`
5×	`associate-*r/`
4×	`exp-diff` `add-log-exp`
3×	`exp-sum` `*-commutative`
2×	`cbrt-undiv` `frac-times` `log-prod` `distribute-neg-in` `associate-*l/` `div-inv`
1×	`sub-neg` `pow-prod-down` `associate--l+` `log-pow`

Counts

4 → 177

Calls

4 calls:

18.0ms	(* (pow a t) (pow z y))
2.9s	(* (pow (/ 1 (pow a 1.0)) 1.0) (* (/ x y) (exp (- (- (- (log (* (pow a t) (pow z y))))) b))))
1.2s	(* (/ x y) (exp (- (- (- (log (* (pow a t) (pow z y))))) b)))
10.0ms	(log (* (pow a t) (pow z y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (pow a t) (pow z y))
674.0ms	(* (pow (/ 1 (pow a 1.0)) 1.0) (* (/ x y) (exp (- (- (- (log (* (pow a t) (pow z y))))) b))))
271.0ms	(* (/ x y) (exp (- (- (- (log (* (pow a t) (pow z y))))) b)))
178.0ms	(log (* (pow a t) (pow z y)))

simplify1.5s

Counts

189 → 189

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	344	3953
1	803	3429
2	2460	3072
done	5000	3005

prune869.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes612.0ms

Accuracy

-37.5% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 1.9b

bsearch580.0ms

Steps

Iters	Range		Point
7	3.4852920176361423e-75	2.9870285751196506e-73	3.541246463368194e-75
10	2.735098669126272e-188	1.238971366563688e-176	7.683339156886952e-177

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	38	69
1	50	50
done	50	50

end0.0ms

sample12.2s

Algorithm

intervals

Results

5.6s	45618×	body	80	nan
2.4s	15053×	body	80	valid