Details

sample411.0ms

Algorithm

intervals

Results

188.0ms	1487×	body	80	nan
78.0ms	494×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
2.7b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite424.0ms

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))
13.0ms	(* y (log z))
111.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
267.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series625.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (- t 1.0) (log a))
73.0ms	(* y (log z))
175.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
272.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.8s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	2139
1	534
0	233

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.3b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.0b	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite245.0ms

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:

29.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
100.0ms	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
93.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series588.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (- t 1.0) (log a))
41.0ms	(* y (log z))
292.0ms	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
184.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify2.3s

Counts

195 → 195

Iterations

Iter	Nodes
done	5000
2	4145
1	957
0	391

prune2.0s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 1.2b

localize187.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite242.0ms

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)
80.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
79.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
78.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series1.1s

Counts

4 → 12

Calls

4 calls:

286.0ms	(cbrt y)
535.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
170.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
155.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.7s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
3	2383
2	530
1	207
0	99

prune1.2s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 1.1b

localize158.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.3b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite203.0ms

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)
82.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
90.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
28.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series787.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt y)
182.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
157.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
199.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.4s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	1031
1	311
0	130

prune1.1s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 1.0b

regimes3.8s

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify15.0ms

Iterations

Iter	Nodes
done	39
1	39
0	31

end0.0ms

sample11.6s

Algorithm

intervals

Results

6.0s	44753×	body	80	nan
2.4s	15112×	body	80	valid