Details

sample480.0ms

Algorithm

intervals

Results

281.0ms	1547×	body	80	nan
95.0ms	521×	body	80	valid

simplify1.5s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* 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))

rewrite331.0ms

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:

17.0ms	(* (- t 1.0) (log a))
11.0ms	(* y (log z))
183.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
118.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series505.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (- t 1.0) (log a))
50.0ms	(* y (log z))
214.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
155.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.5s

Counts

111 → 111

Iterations

Iter	Nodes
done	2011
3	2011
2	1706
1	538
0	237

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.9b

localize88.0ms

Local error

Found 4 expressions with local error:

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)
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))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

22×	`add-log-exp`
18×	`add-exp-log`
15×	`add-sqr-sqrt` `exp-prod` `*-un-lft-identity` `exp-diff`
14×	`add-cbrt-cube`
12×	`cbrt-div`
10×	`associate-*r/`
9×	`exp-sum` `add-cube-cbrt` `rem-exp-log`
7×	`associate-/l/`
6×	`diff-log` `prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`pow1` `cbrt-undiv` `div-exp` `insert-posit16`
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 → 93

Calls

4 calls:

794.0ms	(/ (* 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)
76.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
65.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
100.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series764.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(/ (* 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)
176.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
168.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
157.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.4s

Counts

105 → 105

Iterations

Iter	Nodes
done	2182
3	2182
2	1385
1	402
0	161

prune1.1s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.9b

localize97.0ms

Local error

Found 4 expressions with local error:

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

rewrite377.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

84.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
91.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
92.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
106.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series701.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
149.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
180.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
187.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.3s

Counts

92 → 92

Iterations

Iter	Nodes
done	2000
4	2000
3	1501
2	405
1	169
0	79

prune1.2s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.8b

localize111.0ms

Local error

Found 4 expressions with local error:

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))
1.2b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite304.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-log-exp`
17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`exp-prod`
9×	`exp-sum` `add-cube-cbrt` `rem-exp-log`
6×	`diff-log`
5×	`pow1` `pow-unpow` `add-exp-log`
4×	`sub-neg` `add-cbrt-cube` `associate--l+` `insert-posit16` `distribute-lft-out--` `difference-of-squares`
3×	`unpow-prod-up` `sum-log` `unpow-prod-down` `exp-diff`
2×	`pow-exp`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `pow-sub` `sqr-pow`

Counts

4 → 85

Calls

4 calls:

97.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
100.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
87.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
18.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series667.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
165.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
154.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
181.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.2s

Counts

97 → 97

Iterations

Iter	Nodes
done	2003
3	2003
2	652
1	264
0	111

prune1.1s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.7b

regimes2.9s

Accuracy

0% (1.2b remaining)

Error of 1.8b against oracle of 0.6b and baseline of 1.8b

bsearch0.0ms

simplify20.0ms

Iterations

Iter	Nodes
done	37
2	37
1	35
0	26

end0.0ms

sample14.7s

Algorithm

intervals

Results

8.4s	45826×	body	80	nan
3.2s	15511×	body	80	valid