Details

sample507.0ms

Algorithm

intervals

Results

243.0ms	1421×	body	80	nan
142.0ms	475×	body	80	valid

simplify893.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2027
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: 1.7b

localize40.0ms

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)

rewrite428.0ms

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:

33.0ms	(* (- t 1.0) (log a))
13.0ms	(* y (log z))
114.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
265.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series551.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (- t 1.0) (log a))
63.0ms	(* y (log z))
189.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
236.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify982.0ms

Counts

111 → 111

Iterations

Iter	Nodes
done	2002
2	1710
1	537
0	237

prune921.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.7b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.7b	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite270.0ms

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`
4×	`insert-posit16`
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 → 187

Calls

4 calls:

34.0ms	(* (- t 1.0) (log a))
12.0ms	(* y (log z))
138.0ms	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
78.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series539.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (- t 1.0) (log a))
68.0ms	(* y (log z))
252.0ms	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
144.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify909.0ms

Counts

199 → 199

Iterations

Iter	Nodes
done	2001
1	958
0	395

prune1.7s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.6b

localize117.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
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))

rewrite248.0ms

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)
106.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
57.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
81.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series830.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt y)
188.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
176.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
214.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify944.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	2002
3	1642
2	493
1	209
0	101

prune1.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.5b

localize87.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
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))

rewrite212.0ms

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` `insert-posit16`
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 → 77

Calls

4 calls:

1.0ms	(cbrt y)
113.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
77.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
18.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series800.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(cbrt y)
203.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
164.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
165.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify826.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	2000
2	725
1	303
0	133

prune915.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.5b

regimes2.6s

Accuracy

0% (0.5b remaining)

Error of 1.0b against oracle of 0.6b and baseline of 1.0b

bsearch0.0ms

simplify20.0ms

Iterations

Iter	Nodes
done	41
2	41
1	39
0	32

end0.0ms

sample15.0s

Algorithm

intervals

Results

8.5s	45078×	body	80	nan
3.5s	15120×	body	80	valid