Details

sample502.0ms

Algorithm

intervals

Results

310.0ms	1402×	body	80	nan
90.0ms	462×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2040
6	2040
5	1760
4	460
3	167
2	63
1	32
0	17

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.5b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`log-prod` `add-exp-log`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`insert-posit16`
3×	`associate-/r*` `times-frac` `exp-sum` `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 → 99

Calls

4 calls:

26.0ms	(* (- t 1.0) (log a))
11.0ms	(* y (log z))
66.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
215.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series524.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (- t 1.0) (log a))
43.0ms	(* y (log z))
164.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
238.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.5s

Counts

111 → 111

Iterations

Iter	Nodes
done	2017
3	2017
2	1710
1	537
0	237

prune1.9s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.9b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.0b	(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
30×	`associate-r`
28×	`*-un-lft-identity`
24×	`add-cube-cbrt`
19×	`times-frac`
13×	`add-cbrt-cube`
12×	`pow1` `log-prod` `exp-sum` `add-exp-log`
11×	`associate-l`
10×	`add-log-exp`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`sub-neg` `prod-exp` `associate--l+` `cbrt-unprod` `insert-posit16` `unswap-sqr`
3×	`pow-prod-down` `*-commutative` `rem-exp-log`
2×	`diff-log` `associate-*l/` `log-pow` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `sum-log` `flip3--` `exp-diff` `div-exp` `associate-*r/` `div-inv` `flip--`

Counts

4 → 118

Calls

4 calls:

32.0ms	(* (- t 1.0) (log a))
6.0ms	(* y (log z))
216.0ms	(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))
81.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series590.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (- t 1.0) (log a))
71.0ms	(* y (log z))
271.0ms	(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))
162.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.4s

Counts

130 → 130

Iterations

Iter	Nodes
done	2000
3	2000
2	1696
1	610
0	265

prune2.4s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.9b

localize73.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`exp-prod`
8×	`add-cube-cbrt`
6×	`cbrt-prod` `exp-sum` `rem-exp-log`
4×	`pow1` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16`
2×	`sum-log` `sub-neg` `exp-diff` `pow1/3` `associate--l+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
68.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
88.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series989.0ms

Counts

4 → 12

Calls

4 calls:

329.0ms	(cbrt y)
295.0ms	(cbrt y)
181.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
184.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.3s

Counts

76 → 76

Iterations

Iter	Nodes
done	2033
4	2033
3	1642
2	493
1	209
0	101

prune1.9s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.7b

localize88.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-log-exp`
15×	`exp-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`exp-sum` `rem-exp-log`
8×	`add-cube-cbrt`
6×	`diff-log`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`cbrt-prod` `sum-log` `sub-neg` `exp-diff` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3`

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt y)
92.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
107.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
73.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series1.2s

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt y)
549.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
165.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
192.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.4s

Counts

84 → 84

Iterations

Iter	Nodes
done	2033
4	2033
3	1642
2	493
1	209
0	101

prune2.0s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 0.7b

regimes2.9s

Accuracy

0% (0.5b remaining)

Error of 1.1b against oracle of 0.6b and baseline of 1.1b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	32
1	32
0	26

end0.0ms

sample13.5s

Algorithm

intervals

Results

7.6s	45832×	body	80	nan
2.8s	15072×	body	80	valid