Details

sample279.0ms

Algorithm

intervals

Results

150.0ms	1539×	body	80	nan
38.0ms	474×	body	80	valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	497
1	32	497
2	65	497
3	180	497
4	560	497
5	3114	497
done	5000	497

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.0b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite362.0ms

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:

30.0ms	(* (- t 1.0) (log a))
11.0ms	(* y (log z))
98.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
219.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series529.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (- t 1.0) (log a))
58.0ms	(* y (log z))
146.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
259.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.8s

Counts

107 → 107

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	233	36903
1	534	35543
2	2139	35217
done	5000	34927

prune1000.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.8b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
0.8b	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
1.0b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
85×	`add-sqr-sqrt`
81×	`*-un-lft-identity`
77×	`add-cube-cbrt`
39×	`exp-sum`
23×	`associate-/r*`
13×	`sub-neg` `add-cbrt-cube` `associate--l+`
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` `exp-diff` `associate-/r/` `div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/l*` `rem-exp-log`
2×	`diff-log` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`clear-num` `sum-log` `frac-2neg` `flip3--` `flip--`

Counts

4 → 183

Calls

4 calls:

22.0ms	(* (- t 1.0) (log a))
13.0ms	(* y (log z))
99.0ms	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
72.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series564.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (- t 1.0) (log a))
52.0ms	(* y (log z))
268.0ms	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
159.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify2.6s

Counts

195 → 195

Iterations

Useful iterations: 2 (1.0s)

Iter	Nodes	Cost
0	391	110933
1	957	108224
2	4145	106231
done	5000	106231

prune1.7s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.8b

localize153.0ms

Local error

Found 4 expressions with local error:

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

rewrite203.0ms

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)
66.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
72.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
63.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series744.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(cbrt y)
168.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
148.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
168.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.7s

Counts

80 → 80

Iterations

Useful iterations: 3 (527.0ms)

Iter	Nodes	Cost
0	99	29146
1	207	27964
2	530	27925
3	2383	27168
done	5001	27168

prune965.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.6b

localize211.0ms

Local error

Found 4 expressions with local error:

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

rewrite350.0ms

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` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 76

Calls

4 calls:

94.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
84.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
78.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
92.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series686.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
171.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
162.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
184.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.8s

Counts

88 → 88

Iterations

Useful iterations: 3 (542.0ms)

Iter	Nodes	Cost
0	78	35300
1	168	34176
2	423	34176
3	2072	33384
done	5001	33384

prune1.0s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.6b

regimes3.4s

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	26	977
1	31	977
done	31	977

end0.0ms

sample10.9s

Algorithm

intervals

Results

4.8s	45944×	body	80	nan
3.2s	15326×	body	80	valid