Details

sample181.0ms

Algorithm

intervals

Results

75.0ms	1464×	body	80	nan
29.0ms	483×	body	80	valid

simplify678.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (17.0ms)

Iter	Nodes	Cost
0	17	18
1	32	18
2	64	18
3	157	16
4	470	16
5	1948	16
done	5000	16

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
3×	`times-frac` `exp-sum` `prod-exp` `associate-/r*` `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×	`sub-neg` `flip3--` `frac-2neg` `associate-r/` `associate--l+` `clear-num` `sum-log` `flip--` `div-inv` `associate-/l/` `associate-/l`

Counts

4 → 95

Calls

4 calls:

12.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
31.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
80.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series375.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (- t 1.0) (log a))
37.0ms	(* y (log z))
114.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
166.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify483.0ms

Counts

107 → 107

Iterations

Useful iterations: done (480.0ms)

Iter	Nodes	Cost
0	231	1531
1	506	1495
2	1550	1209
done	5001	1199

prune374.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.3b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.8b	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
21×	`add-exp-log`
20×	`*-un-lft-identity`
16×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`log-prod`
11×	`pow1`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in` `prod-exp`
5×	`pow-unpow` `div-exp`
4×	`pow-exp` `add-log-exp`
3×	`unpow-prod-up` `unpow-prod-down` `times-frac` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `pow-to-exp` `e-exp-1` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `distribute-lft-out--` `pow-sub` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `flip3--` `pow-pow` `frac-2neg` `associate-r/` `associate--l+` `clear-num` `flip--` `div-inv` `associate-/l/` `associate-/l` `sqr-pow`

Counts

4 → 103

Calls

4 calls:

11.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
13.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
10.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series395.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (- t 1.0) (log a))
36.0ms	(* y (log z))
119.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
180.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify520.0ms

Counts

115 → 115

Iterations

Useful iterations: done (517.0ms)

Iter	Nodes	Cost
0	250	1842
1	567	1727
2	1737	1540
done	5001	1532

prune406.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (log a)) (- 1.0 t))
0.3b	(* (- (log z)) y)
1.1b	(exp (- (- (* (- (log a)) (- 1.0 t)) (* (- (log z)) y)) b))
7.9b	(* (/ x y) (exp (- (- (* (- (log a)) (- 1.0 t)) (* (- (log z)) y)) b)))

rewrite351.0ms

Algorithm

rewrite-expression-head

Rules

37×	`associate-l`
34×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`associate--l+`
19×	`associate-r`
16×	`exp-sum`
14×	`pow1`
13×	`add-cbrt-cube`
11×	`add-exp-log`
10×	`sub-neg` `times-frac` `add-log-exp`
8×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`prod-exp` `log-pow` `cbrt-unprod` `unswap-sqr`
3×	`exp-diff` `diff-log` `associate-r/` `pow-prod-down` `-commutative` `rem-exp-log`
2×	`distribute-lft-neg-out` `neg-mul-1` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-*l/` `flip--` `div-inv`

Counts

4 → 130

Calls

4 calls:

14.0ms	(* (- (log a)) (- 1.0 t))
6.0ms	(* (- (log z)) y)
79.0ms	(exp (- (- (* (- (log a)) (- 1.0 t)) (* (- (log z)) y)) b))
246.0ms	(* (/ x y) (exp (- (- (* (- (log a)) (- 1.0 t)) (* (- (log z)) y)) b)))

series494.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (- (log a)) (- 1.0 t))
62.0ms	(* (- (log z)) y)
155.0ms	(exp (- (- (* (- (log a)) (- 1.0 t)) (* (- (log z)) y)) b))
179.0ms	(* (/ x y) (exp (- (- (* (- (log a)) (- 1.0 t)) (* (- (log z)) y)) b)))

simplify743.0ms

Counts

142 → 142

Iterations

Useful iterations: done (739.0ms)

Iter	Nodes	Cost
0	255	2179
1	637	2140
2	2277	1832
done	5000	1768

prune503.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (- (log z)) y)
0.3b	(* (- t) (- (log a)))
6.2b	(/ (/ x (pow a 1.0)) y)
9.7b	(* (/ (/ x (pow a 1.0)) y) (exp (- (- (* (- t) (- (log a))) (* (- (log z)) y)) b)))

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

304×	`times-frac`
189×	`add-sqr-sqrt`
169×	`add-cube-cbrt` `*-un-lft-identity`
101×	`associate-l`
64×	`unpow-prod-down`
29×	`add-exp-log`
28×	`associate-r`
25×	`associate-/l*`
22×	`add-cbrt-cube` `sqr-pow`
14×	`pow1` `div-exp` `associate--l+`
12×	`log-prod` `distribute-neg-in`
11×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`exp-sum`
9×	`div-inv`
7×	`prod-exp` `unswap-sqr`
6×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in`
5×	`cbrt-unprod`
4×	`log-pow` `add-log-exp`
3×	`neg-mul-1` `pow-prod-down` `associate-/r` `-commutative`
2×	`distribute-lft-neg-out` `pow-to-exp` `sub-neg` `exp-diff` `pow-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `distribute-rgt-neg-out` `associate-/l/`

Counts

4 → 307

Calls

4 calls:

6.0ms	(* (- (log z)) y)
10.0ms	(* (- t) (- (log a)))
10.0ms	(/ (/ x (pow a 1.0)) y)
221.0ms	(* (/ (/ x (pow a 1.0)) y) (exp (- (- (* (- t) (- (log a))) (* (- (log z)) y)) b)))

series642.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (- (log z)) y)
37.0ms	(* (- t) (- (log a)))
191.0ms	(/ (/ x (pow a 1.0)) y)
351.0ms	(* (/ (/ x (pow a 1.0)) y) (exp (- (- (* (- t) (- (log a))) (* (- (log z)) y)) b)))

simplify412.0ms

Counts

319 → 319

Iterations

Useful iterations: done (403.0ms)

Iter	Nodes	Cost
0	529	5834
1	1419	5654
done	5001	4952

prune1.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes450.0ms

Accuracy

-1.6% (2.1b remaining)

Error of 2.1b against oracle of 0.1b and baseline of 2.1b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	30	70
1	38	53
done	38	53

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.2s	44542×	body	80	nan
915.0ms	15166×	body	80	valid