Details

sample433.0ms

Algorithm

intervals

Results

167.0ms	1539×	body	80	nan
83.0ms	474×	body	80	valid

simplify2.5s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize43.0ms

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)

rewrite402.0ms

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:

33.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
99.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
261.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series610.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (- t 1.0) (log a))
53.0ms	(* y (log z))
182.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
298.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.6s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	2139
1	534
0	233

prune991.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.8b

localize55.0ms

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))

rewrite229.0ms

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:

20.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
124.0ms	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
68.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series496.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (- t 1.0) (log a))
52.0ms	(* y (log z))
197.0ms	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
155.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify2.1s

Counts

195 → 195

Iterations

Iter	Nodes
done	5000
2	4145
1	957
0	391

prune1.9s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.8b

localize131.0ms

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))

rewrite264.0ms

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)
88.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
90.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
82.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series618.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(cbrt y)
140.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
147.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
136.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.6s

Counts

80 → 80

Iterations

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

prune1.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.6b

localize137.0ms

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))

rewrite293.0ms

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:

80.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
82.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
69.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
59.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series703.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
186.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
173.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
166.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.4s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
3	2072
2	423
1	168
0	78

prune1.1s

Pruning

22 alts after pruning (22 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

simplify13.0ms

Iterations

Iter	Nodes
done	35
1	35
0	28

end0.0ms

sample12.4s

Algorithm

intervals

Results

5.8s	45944×	body	80	nan
2.0s	15326×	body	80	valid