Details

sample350.0ms

Algorithm

intervals

Results

187.0ms	1483×	body	80	nan
49.0ms	472×	body	80	valid

simplify1.9s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.7b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.6b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite302.0ms

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:

34.0ms	(* (- t 1.0) (log a))
12.0ms	(* y (log z))
70.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
182.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series505.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (- t 1.0) (log a))
40.0ms	(* y (log z))
176.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
211.0ms	(/ (* 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

prune914.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.5b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.7b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.5b	(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))

rewrite325.0ms

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:

18.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
73.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
223.0ms	(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))

series482.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (- t 1.0) (log a))
45.0ms	(* y (log z))
148.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
196.0ms	(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))

simplify1.5s

Counts

126 → 126

Iterations

Iter	Nodes
done	5000
2	2290
1	619
0	261

prune1.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.5b

localize102.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.7b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.7b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.7b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite234.0ms

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)
84.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
80.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
67.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series712.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt y)
175.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
145.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
174.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.3s

Counts

80 → 80

Iterations

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

prune1.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.4b

localize185.0ms

Local error

Found 4 expressions with local error:

0.7b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.7b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.7b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.7b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite356.0ms

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:

83.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
95.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
95.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
81.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series582.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
148.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
132.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
133.0ms	(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

prune1.2s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.4b

regimes3.2s

Accuracy

0% (0.5b remaining)

Error of 1.1b against oracle of 0.7b and baseline of 1.1b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	32
1	32
0	26

end0.0ms

sample11.5s

Algorithm

intervals

Results

6.3s	45770×	body	80	nan
2.0s	15047×	body	80	valid