Details

sample422.0ms

Algorithm

intervals

Results

205.0ms	1421×	body	80	nan
101.0ms	475×	body	80	valid

simplify924.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2008
5	1717
4	477
3	179
2	71
1	33
0	17

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite383.0ms

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` `insert-posit16` `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 → 116

Calls

4 calls:

17.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
117.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
241.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series492.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (- t 1.0) (log a))
47.0ms	(* y (log z))
144.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
233.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify942.0ms

Counts

128 → 128

Iterations

Iter	Nodes
done	2000
2	1896
1	626
0	281

prune983.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.7b

localize80.0ms

Local error

Found 4 expressions with local error:

0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.0b	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

36×	`exp-sum`
33×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff` `add-cube-cbrt`
22×	`add-log-exp`
18×	`add-exp-log`
15×	`exp-prod` `exp-diff`
14×	`add-cbrt-cube`
12×	`cbrt-div`
10×	`associate-*r/`
9×	`rem-exp-log`
7×	`associate-/l/`
6×	`diff-log` `prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `sum-log` `sub-neg` `times-frac` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 128

Calls

4 calls:

69.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
97.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
57.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
775.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

series749.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
165.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
163.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
251.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

simplify1.1s

Counts

140 → 140

Iterations

Iter	Nodes
done	2004
2	1594
1	481
0	201

prune1.3s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.6b

localize53.0ms

Local error

Found 4 expressions with local error:

0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.0b	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

rewrite797.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt` `*-un-lft-identity`
28×	`add-cube-cbrt`
27×	`prod-diff`
24×	`exp-sum`
19×	`add-exp-log`
16×	`add-log-exp`
14×	`add-cbrt-cube`
12×	`unpow-prod-up` `cbrt-div`
10×	`exp-prod` `exp-diff` `associate-*r/`
7×	`associate-/l/`
6×	`prod-exp` `cbrt-unprod` `rem-exp-log`
5×	`frac-times` `pow1` `pow-unpow` `associate-*l/` `pow-sub`
4×	`expm1-log1p-u` `cbrt-undiv` `diff-log` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `sub-neg` `unpow-prod-down` `times-frac` `associate--l+` `distribute-lft-out--` `difference-of-squares`
2×	`sum-log` `pow-exp`
1×	`pow-to-exp` `e-exp-1` `clear-num` `pow-pow` `frac-2neg` `div-inv` `associate-/l*` `sqr-pow`

Counts

4 → 133

Calls

4 calls:

56.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
57.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
19.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
663.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

series731.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
147.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
156.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
272.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

simplify969.0ms

Counts

145 → 145

Iterations

Iter	Nodes
done	2000
1	666
0	253

prune1.6s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.5b

localize65.0ms

Local error

Found 4 expressions with local error:

0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.0b	(/ (* x (* (* (cbrt (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

rewrite608.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
29×	`add-cube-cbrt`
27×	`prod-diff`
24×	`unpow-prod-up`
20×	`add-exp-log`
14×	`add-cbrt-cube`
12×	`cbrt-div` `exp-sum`
10×	`pow-unpow` `associate-*r/` `pow-sub` `add-log-exp`
7×	`associate-/l/`
6×	`pow1` `unpow-prod-down` `prod-exp` `cbrt-unprod`
5×	`frac-times` `exp-prod` `exp-diff` `associate-*l/`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `pow-exp` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `sub-neg` `times-frac` `associate--l+` `distribute-lft-out--` `difference-of-squares` `rem-exp-log`
2×	`pow-to-exp` `e-exp-1` `pow-pow` `diff-log` `sqr-pow`
1×	`clear-num` `sum-log` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 138

Calls

4 calls:

84.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
22.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
19.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
480.0ms	(/ (* x (* (* (cbrt (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

series826.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
177.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
156.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
331.0ms	(/ (* x (* (* (cbrt (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

simplify681.0ms

Counts

150 → 150

Iterations

Iter	Nodes
done	2001
1	668
0	257

prune1.4s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 0.4b

regimes2.8s

Accuracy

0% (1.4b remaining)

Error of 1.9b against oracle of 0.6b and baseline of 1.9b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	27
2	27
1	25
0	22

end0.0ms

sample13.1s

Algorithm

intervals

Results

6.7s	45078×	body	80	nan
3.1s	15120×	body	80	valid