Details

sample499.0ms

Algorithm

intervals

Results

202.0ms	1482×	body	80	nan
83.0ms	486×	body	80	valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (53.0ms)

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

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))

rewrite450.0ms

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:

44.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
289.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
102.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series612.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (- t 1.0) (log a))
54.0ms	(* y (log z))
279.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
194.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.5s

Counts

124 → 124

Iterations

Useful iterations: done (1.5s)

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

prune693.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite483.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
19×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `exp-sum`
10×	`pow1` `add-log-exp`
9×	`associate-l` `prod-diff`
7×	`associate-r`
6×	`log-prod`
5×	`exp-prod`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-in` `distribute-lft-in` `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 → 106

Calls

4 calls:

48.0ms	(* (- t 1.0) (log a))
17.0ms	(* (log z) y)
284.0ms	(/ (* x (exp (- (+ (pow (* (log z) y) 1) (* (- t 1.0) (log a))) b))) y)
128.0ms	(exp (- (+ (pow (* (log z) y) 1) (* (- t 1.0) (log a))) b))

series695.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (- t 1.0) (log a))
88.0ms	(* (log z) y)
297.0ms	(/ (* x (exp (- (+ (pow (* (log z) y) 1) (* (- t 1.0) (log a))) b))) y)
223.0ms	(exp (- (+ (pow (* (log z) y) 1) (* (- t 1.0) (log a))) b))

simplify1.7s

Counts

118 → 118

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	261	2104
1	570	1831
2	1738	1453
done	5001	1348

prune686.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow a (- t 1.0))
0.5b	(* (/ (pow a (- t 1.0)) (exp b)) (pow z y))
0.6b	(/ (* x (* (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)) (exp (fma b -1 b)))) y)
0.7b	(/ (pow a (- t 1.0)) (exp b))

rewrite474.0ms

Algorithm

rewrite-expression-head

Rules

138×	`add-sqr-sqrt`
120×	`times-frac`
112×	`*-un-lft-identity`
110×	`add-cube-cbrt`
88×	`unpow-prod-up`
73×	`add-exp-log`
72×	`prod-diff`
58×	`associate-l`
51×	`prod-exp`
36×	`div-exp`
34×	`unpow-prod-down`
31×	`add-cbrt-cube`
19×	`associate-/l*`
16×	`pow-to-exp` `pow-exp` `sqr-pow`
12×	`unswap-sqr`
11×	`cbrt-unprod`
8×	`cbrt-undiv` `sub-neg`
7×	`associate-r`
6×	`associate-/r*`
5×	`pow1` `pow-unpow`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-*l/` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/l/` `pow-sub`
1×	`pow-pow` `associate-r/` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 267

Calls

4 calls:

14.0ms	(pow a (- t 1.0))
76.0ms	(* (/ (pow a (- t 1.0)) (exp b)) (pow z y))
331.0ms	(/ (* x (* (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)) (exp (fma b -1 b)))) y)
27.0ms	(/ (pow a (- t 1.0)) (exp b))

series2.1s

Counts

4 → 12

Calls

4 calls:

93.0ms	(pow a (- t 1.0))
309.0ms	(* (/ (pow a (- t 1.0)) (exp b)) (pow z y))
1.6s	(/ (* x (* (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)) (exp (fma b -1 b)))) y)
102.0ms	(/ (pow a (- t 1.0)) (exp b))

simplify2.0s

Counts

279 → 279

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	426	5714
1	1054	5028
2	3391	4370
done	5000	4299

prune1.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

238×	`add-exp-log`
168×	`prod-exp`
156×	`times-frac`
145×	`add-sqr-sqrt`
140×	`div-exp`
119×	`add-cube-cbrt` `*-un-lft-identity`
77×	`unpow-prod-up`
63×	`prod-diff`
58×	`associate-l` `add-cbrt-cube`
36×	`pow-to-exp` `pow-exp`
31×	`unpow-prod-down`
24×	`associate-/l*`
20×	`cbrt-undiv` `cbrt-unprod`
16×	`rec-exp` `1-exp`
15×	`sqr-pow`
12×	`associate-/r*` `unswap-sqr`
11×	`associate-*l/`
8×	`div-inv`
7×	`sub-neg` `associate-r`
6×	`associate-/r/`
5×	`pow1` `associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`pow-flip` `*-commutative` `associate-/l/` `inv-pow` `pow-sub`

Counts

4 → 338

Calls

4 calls:

706.0ms	(/ 1 (/ y (* x (* (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)) (exp (fma b -1 b))))))
75.0ms	(* (/ (pow a (- t 1.0)) (exp b)) (pow z y))
319.0ms	(/ y (* x (* (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)) (exp (fma b -1 b)))))
36.0ms	(/ (pow a (- t 1.0)) (exp b))

series3.8s

Counts

4 → 12

Calls

4 calls:

1.7s	(/ 1 (/ y (* x (* (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)) (exp (fma b -1 b))))))
307.0ms	(* (/ (pow a (- t 1.0)) (exp b)) (pow z y))
1.7s	(/ y (* x (* (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)) (exp (fma b -1 b)))))
111.0ms	(/ (pow a (- t 1.0)) (exp b))

simplify3.0s

Counts

350 → 350

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	524	8521
1	1270	7707
2	3694	6633
done	5001	6541

prune1.9s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes468.0ms

Accuracy

0% (1.9b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	19	20
1	25	18
done	25	18

end0.0ms

sample13.7s

Algorithm

intervals

Results

6.7s	45302×	body	80	nan
2.1s	15154×	body	80	valid