Details

sample188.0ms

Algorithm

intervals

Results

105.0ms	130×	body	1280	valid
31.0ms	58×	body	640	valid
11.0ms	256×	pre	80	true
7.0ms	22×	body	320	valid
3.0ms	36×	body	80	valid
2.0ms	10×	body	160	valid

simplify79.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	22	9
3	33	9
4	38	9
5	45	9
6	51	9
7	61	9
8	74	9
9	86	9
10	95	9
done	95	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.1b	(- (tan (+ y z)) (tan a))
6.2b	(tan (+ y z))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity` `add-log-exp`
5×	`add-sqr-sqrt`
4×	`tan-quot`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
2×	`sub-neg` `tan-sum` `associate-+r+` `diff-log` `sum-log` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 42

Calls

3 calls:

16.0ms	(+ x (- (tan (+ y z)) (tan a)))
16.0ms	(- (tan (+ y z)) (tan a))
7.0ms	(tan (+ y z))

series378.0ms

Counts

3 → 9

Calls

3 calls:

163.0ms	(+ x (- (tan (+ y z)) (tan a)))
158.0ms	(- (tan (+ y z)) (tan a))
56.0ms	(tan (+ y z))

simplify2.5s

Counts

51 → 51

Iterations

Useful iterations: 3 (237.0ms)

Iter	Nodes	Cost
0	91	627
1	196	590
2	453	572
3	1243	570
4	4659	570
done	5000	570

prune160.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (tan z) (tan y))
0.1b	(+ x (- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a)))
0.1b	(- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a))
0.3b	(* (tan z) (tan y))

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-log-exp`
7×	`tan-quot`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r` `associate-l` `sum-log` `distribute-lft-out`
2×	`+-commutative` `sub-neg` `associate-+r+` `flip3-+` `diff-log` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-+r-` `flip3--` `times-frac` `associate-r/` `pow-prod-down` `associate-l/` `frac-add` `prod-exp` `*-commutative` `frac-sub` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

8.0ms	(+ (tan z) (tan y))
193.0ms	(+ x (- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a)))
99.0ms	(- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a))
15.0ms	(* (tan z) (tan y))

series1.3s

Counts

4 → 12

Calls

4 calls:

120.0ms	(+ (tan z) (tan y))
517.0ms	(+ x (- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a)))
534.0ms	(- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a))
121.0ms	(* (tan z) (tan y))

simplify1.4s

Counts

79 → 79

Iterations

Useful iterations: 3 (589.0ms)

Iter	Nodes	Cost
0	155	1433
1	368	1362
2	969	1302
3	2581	1291
done	5000	1291

prune408.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ x (- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a)))
0.1b	(- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a))
0.3b	(* (tan z) (tan y))
2.5b	(exp (+ x (- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a))))

rewrite857.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
17×	`add-log-exp`
14×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`tan-quot` `exp-prod`
4×	`sum-log` `distribute-lft-out`
3×	`diff-log` `associate-r` `associate-l` `rem-exp-log` `distribute-lft-out--`
2×	`associate-+r-` `sub-neg` `associate-+r+` `difference-of-squares`
1×	`+-commutative` `frac-times` `flip3--` `flip3-+` `times-frac` `exp-diff` `associate-r/` `exp-sum` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `frac-sub` `flip--` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

162.0ms	(+ x (- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a)))
90.0ms	(- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a))
28.0ms	(* (tan z) (tan y))
575.0ms	(exp (+ x (- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a))))

series2.0s

Counts

4 → 12

Calls

4 calls:

513.0ms	(+ x (- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a)))
649.0ms	(- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a))
159.0ms	(* (tan z) (tan y))
716.0ms	(exp (+ x (- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a))))

simplify1.6s

Counts

83 → 83

Iterations

Useful iterations: 3 (627.0ms)

Iter	Nodes	Cost
0	144	1677
1	332	1612
2	901	1517
3	2676	1506
done	5000	1506

prune414.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (/ (log (exp (+ (tan z) (tan y)))) (- 1 (* (tan z) (tan y)))) (tan a))
0.3b	(* (tan z) (tan y))
0.5b	(exp (+ (tan z) (tan y)))
2.2b	(log (exp (+ (tan z) (tan y))))

rewrite352.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
9×	`add-cube-cbrt` `add-log-exp`
8×	`exp-prod`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
5×	`tan-quot` `log-pow`
4×	`log-prod`
3×	`associate-r` `associate-l`
2×	`exp-sum` `rem-exp-log` `distribute-lft-out` `difference-of-squares`
1×	`frac-times` `sub-neg` `flip3--` `times-frac` `diff-log` `associate-r/` `rem-log-exp` `pow-prod-down` `associate-l/` `prod-exp` `sum-log` `*-commutative` `frac-sub` `flip--` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

240.0ms	(- (/ (log (exp (+ (tan z) (tan y)))) (- 1 (* (tan z) (tan y)))) (tan a))
34.0ms	(* (tan z) (tan y))
41.0ms	(exp (+ (tan z) (tan y)))
35.0ms	(log (exp (+ (tan z) (tan y))))

series984.0ms

Counts

4 → 12

Calls

4 calls:

654.0ms	(- (/ (log (exp (+ (tan z) (tan y)))) (- 1 (* (tan z) (tan y)))) (tan a))
99.0ms	(* (tan z) (tan y))
127.0ms	(exp (+ (tan z) (tan y)))
104.0ms	(log (exp (+ (tan z) (tan y))))

simplify2.5s

Counts

80 → 80

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	145	1110
1	291	1013
2	707	932
3	1620	921
4	4149	919
done	5000	919

prune306.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

regimes348.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	52
1	24	52
done	24	52

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.8s	3904×	body	1280	valid
1.1s	2002×	body	640	valid
347.0ms	8000×	pre	80	true
252.0ms	717×	body	320	valid
130.0ms	1120×	body	80	valid
62.0ms	257×	body	160	valid