Details

sample372.0ms

Algorithm

intervals

Results

190.0ms	1512×	body	80	nan
54.0ms	504×	body	80	valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
5	1760
4	460
3	167
2	63
1	32
0	17

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite339.0ms

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`
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 → 95

Calls

4 calls:

23.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
87.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
218.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series675.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (- t 1.0) (log a))
71.0ms	(* y (log z))
198.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
290.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.9s

Counts

107 → 107

Iterations

Iter	Nodes
done	5002
2	1697
1	529
0	233

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.6b

localize69.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.3b	(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite427.0ms

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` `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 → 114

Calls

4 calls:

19.0ms	(* (- t 1.0) (log a))
10.0ms	(* y (log z))
303.0ms	(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))
90.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series602.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (- t 1.0) (log a))
64.0ms	(* y (log z))
271.0ms	(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))
181.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify2.0s

Counts

126 → 126

Iterations

Iter	Nodes
done	5013
2	1721
1	606
0	261

prune1.5s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.6b

localize127.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite222.0ms

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`
3×	`cbrt-prod` `sum-log` `sub-neg` `exp-diff` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3`

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt y)
61.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
66.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
93.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series934.0ms

Counts

4 → 12

Calls

4 calls:

325.0ms	(cbrt y)
211.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
205.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
193.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify2.0s

Counts

80 → 80

Iterations

Iter	Nodes
done	5018
3	1660
2	491
1	207
0	99

prune1.2s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.5b

localize104.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.8b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt y)
38.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
88.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
81.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series1.2s

Counts

4 → 12

Calls

4 calls:

291.0ms	(cbrt y)
201.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
534.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
184.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify2.4s

Counts

85 → 85

Iterations

Iter	Nodes
done	5002
3	2233
2	722
1	300
0	130

prune1.2s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.5b

regimes3.2s

Accuracy

0% (0.3b remaining)

Error of 0.9b against oracle of 0.6b and baseline of 0.9b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	27
1	27
0	21

end0.0ms

sample12.8s

Algorithm

intervals

Results

6.8s	46117×	body	80	nan
2.6s	15346×	body	80	valid