Details

sample174.0ms

Algorithm

intervals

Results

74.0ms	1426×	body	80	nan
28.0ms	470×	body	80	valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (18.0ms)

Iter	Nodes	Cost
0	17	18
1	32	18
2	64	18
3	157	16
4	469	16
5	1874	16
done	5000	16

prune10.0ms

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))
1.4b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite127.0ms

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:

13.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
31.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
77.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series385.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (- t 1.0) (log a))
38.0ms	(* y (log z))
118.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
170.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify736.0ms

Counts

107 → 107

Iterations

Useful iterations: done (733.0ms)

Iter	Nodes	Cost
0	231	1531
1	494	1495
2	1452	1209
done	5002	1180

prune377.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (log z))
0.8b	(/ (exp (+ (* y (log z)) (* (- t 1.0) (log a)))) (exp b))
1.4b	(/ (* x (/ (exp (+ (* y (log z)) (* (- t 1.0) (log a)))) (exp b))) y)
1.7b	(exp (+ (* y (log z)) (* (- t 1.0) (log a))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
17×	`add-cbrt-cube`
15×	`times-frac`
13×	`add-exp-log`
7×	`pow1` `add-log-exp`
6×	`log-prod` `associate-/r*`
5×	`cbrt-undiv` `exp-prod` `div-exp` `exp-sum` `associate-/l*`
4×	`associate-r`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `div-inv` `rem-exp-log`
1×	`associate-r/` `pow-prod-down` `sum-log` `log-pow` `-commutative` `associate-/l/` `unswap-sqr` `pow-div`

Counts

4 → 94

Calls

4 calls:

4.0ms	(* y (log z))
13.0ms	(/ (exp (+ (* y (log z)) (* (- t 1.0) (log a)))) (exp b))
21.0ms	(/ (* x (/ (exp (+ (* y (log z)) (* (- t 1.0) (log a)))) (exp b))) y)
8.0ms	(exp (+ (* y (log z)) (* (- t 1.0) (log a))))

series493.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* y (log z))
157.0ms	(/ (exp (+ (* y (log z)) (* (- t 1.0) (log a)))) (exp b))
204.0ms	(/ (* x (/ (exp (+ (* y (log z)) (* (- t 1.0) (log a)))) (exp b))) y)
94.0ms	(exp (+ (* y (log z)) (* (- t 1.0) (log a))))

simplify771.0ms

Counts

106 → 106

Iterations

Useful iterations: done (768.0ms)

Iter	Nodes	Cost
0	213	2054
1	485	1963
2	1498	1502
done	5000	1499

prune425.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow z y) (pow a (- t 1.0)))
0.2b	(pow a (- t 1.0))
0.7b	(* x (/ (* (pow z y) (pow a (- t 1.0))) (* y (exp b))))
0.8b	(/ (* (pow z y) (pow a (- t 1.0))) (* y (exp b)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

131×	`add-exp-log`
86×	`prod-exp`
40×	`div-exp`
36×	`add-cbrt-cube`
31×	`pow-to-exp` `pow-exp`
28×	`add-sqr-sqrt`
15×	`unpow-prod-down`
14×	`-un-lft-identity` `associate-r*` `cbrt-unprod`
12×	`add-cube-cbrt`
10×	`associate-l` `unswap-sqr`
9×	`sqr-pow`
8×	`cbrt-undiv`
7×	`pow1`
5×	`pow-unpow`
4×	`unpow-prod-up` `add-log-exp`
3×	`associate-*r/` `pow-sub`
2×	`sub-neg` `times-frac` `*-commutative` `div-inv`
1×	`pow-pow` `frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `associate-/l/` `associate-/l` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 149

Calls

4 calls:

10.0ms	(* (pow z y) (pow a (- t 1.0)))
3.0ms	(pow a (- t 1.0))
19.0ms	(* x (/ (* (pow z y) (pow a (- t 1.0))) (* y (exp b))))
8.0ms	(/ (* (pow z y) (pow a (- t 1.0))) (* y (exp b)))

series610.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (pow z y) (pow a (- t 1.0)))
59.0ms	(pow a (- t 1.0))
222.0ms	(* x (/ (* (pow z y) (pow a (- t 1.0))) (* y (exp b))))
209.0ms	(/ (* (pow z y) (pow a (- t 1.0))) (* y (exp b)))

simplify993.0ms

Counts

161 → 161

Iterations

Useful iterations: done (988.0ms)

Iter	Nodes	Cost
0	240	2851
1	670	2651
2	2721	2283
done	5001	2277

prune426.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp b))
0.0b	(/ (* (pow z y) (pow a t)) (pow a 1.0))
0.7b	(* x (/ (/ (* (pow z y) (pow a t)) (pow a 1.0)) (* y (exp b))))
0.8b	(/ (/ (* (pow z y) (pow a t)) (pow a 1.0)) (* y (exp b)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

492×	`add-exp-log`
274×	`div-exp`
261×	`prod-exp`
140×	`pow-to-exp` `pow-exp`
61×	`add-cbrt-cube`
50×	`times-frac`
25×	`add-sqr-sqrt`
22×	`cbrt-undiv`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`cbrt-unprod`
18×	`associate-r`
15×	`unpow-prod-down`
12×	`associate-/l*`
8×	`pow1` `associate-/r*`
6×	`associate-l` `div-inv`
5×	`sqr-pow`
4×	`add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `unswap-sqr`
1×	`associate-*r/` `associate-/l/`

Counts

4 → 276

Calls

4 calls:

5.0ms	(* y (exp b))
6.0ms	(/ (* (pow z y) (pow a t)) (pow a 1.0))
32.0ms	(* x (/ (/ (* (pow z y) (pow a t)) (pow a 1.0)) (* y (exp b))))
13.0ms	(/ (/ (* (pow z y) (pow a t)) (pow a 1.0)) (* y (exp b)))

series979.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* y (exp b))
232.0ms	(/ (* (pow z y) (pow a t)) (pow a 1.0))
367.0ms	(* x (/ (/ (* (pow z y) (pow a t)) (pow a 1.0)) (* y (exp b))))
358.0ms	(/ (/ (* (pow z y) (pow a t)) (pow a 1.0)) (* y (exp b)))

simplify1.4s

Counts

288 → 288

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	317	5757
1	927	5242
2	3280	4561
done	5001	4558

prune488.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes373.0ms

Accuracy

0% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	18
1	21	18
done	21	18

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.3s	45435×	body	80	nan
933.0ms	15176×	body	80	valid