Details

sample354.0ms

Algorithm

intervals

Results

181.0ms	124×	body	1280	valid
82.0ms	58×	body	640	valid
19.0ms	256×	pre	80	true
17.0ms	27×	body	320	valid
8.0ms	35×	body	80	valid
5.0ms	12×	body	160	valid

simplify6.4s

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	39	9
5	89	9
6	193	9
7	446	9
8	1354	9
9	4724	9
done	5000	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(- (tan (+ y z)) (tan a))
0.2b	(+ x (- (tan (+ y z)) (tan a)))
3.5b	(tan (+ y z))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity` `add-log-exp`
5×	`add-sqr-sqrt`
4×	`tan-quot`
3×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
2×	`tan-sum` `associate-+r+` `sum-log` `sub-neg` `diff-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:

22.0ms	(- (tan (+ y z)) (tan a))
18.0ms	(+ x (- (tan (+ y z)) (tan a)))
6.0ms	(tan (+ y z))

series449.0ms

Counts

3 → 9

Calls

3 calls:

185.0ms	(- (tan (+ y z)) (tan a))
180.0ms	(+ x (- (tan (+ y z)) (tan a)))
83.0ms	(tan (+ y z))

simplify776.0ms

Counts

51 → 51

Iterations

Useful iterations: 3 (337.0ms)

Iter	Nodes	Cost
0	91	627
1	197	590
2	474	572
3	1731	570
done	5000	570

prune336.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.1b	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
0.2b	(+ (tan y) (tan z))
0.2b	(* (tan y) (tan z))

rewrite301.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

80.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
183.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
12.0ms	(+ (tan y) (tan z))
23.0ms	(* (tan y) (tan z))

series1.3s

Counts

4 → 12

Calls

4 calls:

566.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
537.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
113.0ms	(+ (tan y) (tan z))
126.0ms	(* (tan y) (tan z))

simplify703.0ms

Counts

79 → 79

Iterations

Useful iterations: done (700.0ms)

Iter	Nodes	Cost
0	155	1433
1	375	1362
2	1174	1304
done	5000	1291

prune440.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
0.2b	(+ (tan y) (tan z))
0.2b	(* (tan y) (tan z))
2.2b	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

rewrite527.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

138.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
6.0ms	(+ (tan y) (tan z))
11.0ms	(* (tan y) (tan z))
370.0ms	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

series1.1s

Counts

4 → 12

Calls

4 calls:

387.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
101.0ms	(+ (tan y) (tan z))
103.0ms	(* (tan y) (tan z))
477.0ms	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

simplify416.0ms

Counts

80 → 80

Iterations

Useful iterations: 2 (121.0ms)

Iter	Nodes	Cost
0	142	1311
1	344	1270
2	1195	1173
done	5000	1173

prune451.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (tan y) (tan z))
0.3b	(exp (tan a))
0.3b	(* (exp x) (/ (exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (exp (tan a))))
0.3b	(exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
24×	`exp-prod`
23×	`add-cube-cbrt`
22×	`times-frac`
16×	`associate-r`
11×	`add-cbrt-cube`
8×	`pow1`
7×	`add-exp-log`
6×	`associate-l` `add-log-exp`
4×	`tan-quot`
3×	`prod-exp` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
2×	`pow-prod-down` `associate-r/` `associate-/r/` `-commutative` `div-inv` `rem-exp-log`
1×	`frac-times` `cbrt-undiv` `flip3--` `div-exp` `associate-*l/` `pow-prod-up` `flip--` `pow-div`

Counts

4 → 91

Calls

4 calls:

12.0ms	(* (tan y) (tan z))
3.0ms	(exp (tan a))
106.0ms	(* (exp x) (/ (exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (exp (tan a))))
24.0ms	(exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))

series813.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (tan y) (tan z))
33.0ms	(exp (tan a))
469.0ms	(* (exp x) (/ (exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (exp (tan a))))
211.0ms	(exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))

simplify973.0ms

Counts

103 → 103

Iterations

Useful iterations: done (970.0ms)

Iter	Nodes	Cost
0	192	1752
1	444	1672
2	1972	1497
done	5001	1491

prune614.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes397.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	28
1	25	28
done	25	28

end0.0ms

sample8.4s

Algorithm

intervals

Results

5.1s	3837×	body	1280	valid
1.6s	2048×	body	640	valid
458.0ms	8000×	pre	80	true
383.0ms	717×	body	320	valid
177.0ms	291×	body	160	valid
169.0ms	1107×	body	80	valid